Publication Information

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2887, 2921, 2971, 3008, 3046, 3096, 3122, 3149, 3171, 3200, 3218, 3239, 3265, 3279, 3307, 3338, 3360, 3401, 3427, 3452, 3479, 3514, 3532, 3572, 3589, 3603, 3633, 3658, 3688, 3702, 3730, 3755, 3773, 3815, 3840, 3864, 3884, 3900, 3917, 3946, 3967, 3996, 4047, 4068, 4093, 4107, 4135, 4160, 4175, 4192, 4213, 4228, 4249, 4267, 4296, 4314, 4328, 4352, 4370, 4384, 4404, 4423, 4454, 4477, 4506, 4570], '4': [246, 484, 532, 893, 1140, 1229, 1344, 1423, 2055, 2508, 3533, 3841, 3901, 4193], 'Cross': [247, 273, 300, 316, 334, 356, 380, 432, 455, 485, 509, 533, 562, 611, 635, 658, 681, 703, 724, 782, 894, 916, 943, 970, 985, 1012, 1031, 1057, 1083, 1109, 1141, 1164, 1209, 1230, 1250, 1273, 1297, 1325, 1345, 1424, 1443, 1461, 1478, 1505, 1528, 1545, 1564, 1583, 1592, 1612, 1629, 1650, 1667, 1686, 1707, 1729, 1761, 1828, 1841, 1863, 1892, 1913, 1939, 1967, 1985, 1999, 2018, 2034, 2056, 2063, 2070, 2079, 2095, 2156, 2180, 2191, 2212, 2287, 2304, 2326, 2358, 2366, 2378, 2396, 2412, 2429, 2450, 2466, 2490, 2509, 2528, 2552, 2578, 2594, 2612, 2633, 2653, 2669, 2689, 2768, 2771, 2793, 2822, 2839, 2860, 2875, 2889, 2933, 2946, 2973, 2988, 3010, 3028, 3048, 3068, 3153, 3173, 3220, 3241, 3267, 3281, 3322, 3340, 3362, 3378, 3494, 3516, 3534, 3550, 3591, 3605, 3673, 3690, 3704, 3775, 3787, 3799, 3817, 3842, 3866, 3886, 3902, 3919, 3969, 4009, 4019, 4070, 4095, 4109, 4177, 4194, 4215, 4230, 4251, 4269, 4298, 4316, 4330, 4354, 4372, 4386, 4406, 4425, 4434, 4479, 4517, 4525, 4532, 4546, 4555, 4572], 'Ref': [248, 274, 301, 317, 335, 357, 381, 433, 456, 486, 510, 534, 563, 612, 636, 659, 682, 704, 725, 783, 895, 917, 944, 971, 986, 1013, 1032, 1058, 1084, 1110, 1142, 1165, 1210, 1231, 1251, 1274, 1298, 1326, 1346, 1425, 1444, 1462, 1479, 1506, 1529, 1546, 1565, 1584, 1593, 1613, 1630, 1651, 1668, 1687, 1708, 1730, 1762, 1829, 1842, 1864, 1893, 1914, 1940, 1968, 1986, 2000, 2019, 2035, 2057, 2064, 2071, 2080, 2096, 2157, 2181, 2192, 2213, 2288, 2305, 2327, 2359, 2367, 2379, 2397, 2413, 2430, 2451, 2467, 2491, 2510, 2529, 2553, 2579, 2595, 2613, 2634, 2654, 2670, 2690, 2769, 2772, 2794, 2823, 2840, 2861, 2876, 2890, 2934, 2947, 2974, 2989, 3011, 3029, 3049, 3069, 3154, 3174, 3221, 3242, 3268, 3282, 3323, 3341, 3363, 3379, 3495, 3517, 3535, 3551, 3592, 3606, 3674, 3691, 3705, 3776, 3788, 3800, 3818, 3843, 3867, 3887, 3903, 3920, 3970, 4010, 4020, 4071, 4096, 4110, 4178, 4195, 4216, 4231, 4252, 4270, 4299, 4317, 4331, 4355, 4373, 4387, 4407, 4426, 4435, 4480, 4518, 4526, 4533, 4547, 4556, 4573], 'Iterative': [250, 727, 3972], 'Algorithm': [251], 'Perturbation': [253, 275, 683, 1169, 1252, 1566, 1585, 1688, 1843, 1865, 1972, 1987, 2182, 2289, 2414, 2841, 2975, 2990, 3050, 3175, 3536, 3552, 4388], 'Analysis': [254, 404, 749, 810, 819, 835, 865, 1134, 1170, 1186, 1369, 1586, 1973, 1988, 2110, 2139, 2183, 2231, 2261, 2361, 2388, 2709, 2734, 2965, 3091, 3117, 3144, 3176, 3195, 3302, 3314, 3355, 3422, 3447, 3553, 3567, 3628, 3653, 3683, 3750, 3991, 4155, 4582], 'Nonlinear': [257, 821, 976, 1117, 1991], 'Matrix': [258, 403, 748, 793, 809, 834, 864, 952, 977, 1118, 1185, 1368, 1495, 1588, 1773, 1797, 1832, 1976, 1992, 2109, 2138, 2230, 2260, 2708, 2733, 3090, 3116, 3129, 3143, 3194, 3301, 3421, 3446, 3566, 3611, 3627, 3639, 3652, 3712, 3749, 3924, 3976, 3990, 4141, 4154, 4440], 'Equation27': [259], 'September': [260, 598, 1129], '2021': [261, 576], 'Communications': [263], 'Applied': [265, 296, 601, 629, 677, 939, 1027, 1160, 1317, 1395, 1457, 1524, 1608, 1703, 1755, 1884, 1981, 1995, 2627, 2760, 2816, 3042, 3334, 4597, 4613], 'Mathematics': [266, 909, 1245, 1318, 1338, 1624, 1885, 2205, 2280, 2319, 2405, 2422, 2483, 2502, 2646, 2682, 2761, 3003, 4244, 4399, 4418, 4565, 4614], '4,': [270, 1758, 4266], '3': [272, 431, 610, 634, 657, 1011, 1442, 1666, 2017, 3515, 3865, 3918, 3968, 4069, 4176, 4214, 4268, 4478], 'analysis': [276, 413, 684, 762, 1061, 1253, 1304, 1464, 1567, 1689, 1844, 1866, 2290, 2842, 2976, 3051, 3204, 3365, 3537, 3908, 4237], 'numbers': [279, 303, 337, 360, 512, 589, 919, 995, 1016, 1089, 1198, 1234, 1280, 1329, 1406, 1429, 1548, 1596, 1674, 1917, 1943, 2159, 2197, 2308, 2337, 2478, 2531, 2558, 2619, 2672, 3156, 3225, 3246, 3326, 3662], 'Tikhonov': [282, 3079], 'regularization': [283], 'total': [285, 363, 882, 1099, 1900], 'least': [286, 307, 309, 327, 341, 343, 364, 767, 883, 930, 1066, 1100, 1202, 1219, 1331, 1514, 1677, 1901, 1949, 2316, 2345, 3502], 'squares': [287, 310, 328, 344, 365, 768, 884, 931, 1067, 1101, 1203, 1220, 1332, 1515, 1678, 1902, 1950, 2317, 2346, 3503], 'problem': [288, 345, 366, 690, 932, 1068, 1516, 1951, 4238, 4359], 'their': [290, 519, 993, 1555, 2476, 2810, 3664, 4082], 'statistical': [291, 520, 591, 1446, 1519, 1556, 1921, 4512, 4520], 'estimationJournal': [292, 1520], 'Computational': [294, 451, 675, 937, 1025, 1158, 1455, 1522, 1606, 1701, 2625, 2814, 3040, 3332, 4374], 'Mathematics,': [297, 313, 331, 452, 480, 630, 678, 698, 777, 940, 1028, 1161, 1206, 1268, 1458, 1500, 1525, 1609, 1645, 1704, 1756, 1934, 2051, 2090, 2353, 2547, 2628, 2664, 2817, 2834, 2884, 3043, 3335, 3511, 4381], '411': [299], 'Condition': [302, 336, 436, 457, 511, 565, 712, 786, 918, 945, 972, 1347, 1482, 1488, 1547, 1614, 1732, 1765, 2074, 2158, 2218, 2240, 2398, 2530, 2589, 2671, 2718, 2795, 3155, 3283, 3708, 3737, 3927, 4430], 'multidimensional': [305], 'mixed': [306, 340, 1670, 2335, 2615], 'squares-total': [308, 342], 'problemsApplied': [311, 329], 'Numerical': [312, 330, 374, 535, 652, 697, 1006, 1132, 1205, 1418, 1539, 1958, 2171, 2352, 2452, 2569, 2581, 2883, 3258, 3353, 3397, 3510, 4004, 4300, 4429, 4450, 4502, 4581], '178': [315], 'contribution': [319, 4319], 'theory': [323, 488, 2148, 3483, 4322, 4389], 'indefinite': [326, 765, 1201, 1676], '177': [333], 'revisited1': [346], 'July': [347, 693, 1048, 2132, 2702, 2911, 3084, 3110, 3137, 3188, 3295, 3391, 3415, 3440, 3469, 3621, 3646, 3720, 3743, 3934, 3984, 4036, 4148, 4444, 4588], 'Linear': [350, 388, 424, 461, 501, 525, 1075, 1289, 1386, 1822, 1959, 2172, 2248, 2360, 2570, 3075, 3104, 3259, 4012, 4468, 4491], 'Multilinear': [352, 426, 503, 527, 1077, 1291], 'Algebra,': [353, 427, 504, 528, 1078, 1292], '18': [355], 'equality': [369, 491, 934, 1216], 'constraint1': [370], 'February': [371, 446, 1389, 1929, 2348, 3560], 'Algorithms,': [375, 1419, 1540], '90,': [377], '1': [379, 561, 702, 723, 1760, 1862, 1912, 1966, 2094, 2179, 2325, 2357, 2411, 2428, 2527, 2688, 2838, 3009, 3047, 3339, 3774, 4094, 4229, 4329, 4371], 'Multidimensional': [382, 1351], 'Total': [383, 1352, 2125], 'Least': [384, 471, 1353, 1742, 1823, 2249, 3076], 'Squares': [385, 472, 1354, 1743, 1824, 2250, 3077], 'Problem': [386, 473, 1744], 'Equality': [389], 'ConstraintsQiaohua': [390], 'Liu,': [391], 'Zhigang': [392], 'Jia,': [393], 'Yimin': [395, 1360], 'Wei27': [396], 'January': [397, 959, 1261, 1955, 2566, 3255, 4241, 4396, 4415, 4562], 'SIAM': [400, 578, 745, 806, 831, 861, 1182, 1365, 1392, 1784, 2106, 2135, 2227, 2257, 2705, 2730, 2914, 3087, 3113, 3140, 3191, 3298, 3394, 3418, 3443, 3472, 3563, 3624, 3649, 3723, 3746, 3937, 3987, 4039, 4127, 4151, 4447, 4499], 'Journal': [401, 478, 579, 603, 625, 650, 746, 774, 807, 832, 862, 962, 1004, 1183, 1265, 1315, 1366, 1393, 1498, 1643, 1753, 1785, 1807, 1854, 1882, 2049, 2088, 2107, 2136, 2228, 2258, 2544, 2662, 2706, 2731, 2832, 2915, 3088, 3114, 3141, 3192, 3299, 3395, 3419, 3444, 3473, 3564, 3625, 3650, 3724, 3747, 3938, 3988, 4040, 4128, 4152, 4347, 4448, 4500, 4579], 'Applications,': [406, 751, 812, 837, 867, 1106, 1188, 1340, 1371, 1561, 1580, 1683, 1726, 1858, 1962, 2112, 2141, 2175, 2233, 2263, 2299, 2504, 2573, 2711, 2736, 2857, 2872, 2985, 3025, 3065, 3093, 3119, 3146, 3168, 3197, 3215, 3262, 3304, 3375, 3424, 3449, 3547, 3569, 3630, 3655, 3670, 3752, 3993, 4157], '43,': [408, 1889], '1AbstractPDF': [410, 585, 1402, 1814, 3428, 3731, 4136, 4507], '(1051': [411], 'KB)Perturbation': [412, 3125, 3203], 'QX': [416], 'factorization': [417, 3251], 'centrosymmetric': [419], 'matrices9': [420], 'March': [421, 575, 1879, 1904, 4288, 4343], '2020': [422, 554, 599, 622, 743], '70,': [429, 1542], 'The': [434, 564, 784, 1111, 2020, 2306, 3132, 3518, 3593, 3895, 4111, 4232, 4356, 4408, 4436, 4481], 'Average': [435], 'Number': [437, 566, 713, 787, 1766, 2075, 2590, 3284], 'Most': [439], 'Tensor': [440, 846], 'Rank': [441, 847, 2247], 'Decomposition': [442, 848, 3387, 3922], 'Problems': [443, 4014], 'is': [444, 4239], 'Infinite8': [445], 'Foundations': [449], '37': [454], 'Numbers': [458, 946, 973, 1348, 1483, 1733, 2241, 2719], 'Solution': [465, 728, 1114, 4005], 'Constrained': [468], 'Weighted': [470, 1736, 1741], 'Their': [475], 'Statistical': [476, 1487, 3431, 3608, 3707, 3942], 'EstimationTaiwanese': [477], '25,': [482, 2970, 3148, 3814], 'Conditioning': [487, 1795, 1820, 2122, 2455, 3073], 'constrained': [492, 1217, 2202, 2678, 3000], 'quadratic': [493, 1692, 3347], 'programming': [494], 'its': [496, 1105, 1518, 1560, 1579, 1682, 1725, 2298, 2750, 2856, 2871, 2984, 3024, 3064, 3167, 3214, 3374, 3546, 3669], 'applications30': [497], 'May': [498, 522, 621, 770, 828, 1748, 1826, 2168, 2189, 3350], '2019': [499, 523, 647, 694, 804, 829, 859], '69,': [506, 530], 'K': [515], '-weighted': [516], 'pseudoinverse': [517], 'estimation20': [521], 'methods': [536, 4375], 'accurate': [538], 'eigenvalues': [542, 2003], 'Hermitian': [544, 2845], 'matrices': [545, 2945], 'singular': [548, 2480, 2679, 2806], 'values': [549], 'general': [551, 3346], 'matrices30': [552], 'August': [553, 1000, 1362, 2727, 4124, 4496], 'SeMA': [556], 'Journal,': [557], '78,': [559], 'Riemannian': [568], 'Approximation': [569], 'ProblemsPaul': [570], 'Breiding': [571], 'Nick': [573, 856], 'Vannieuwenhoven30': [574], 'Optimization,': [581, 1136, 3357, 3685, 4044, 4132], '31,': [583, 2235, 2265], '(805': [586], 'KB)Structured': [587, 1404, 2717], 'estimation': [593, 1239, 1448, 1923, 2155, 2777, 2939, 4514, 4524, 4540], 'LDU': [596], 'factorization14': [597], 'Mathematics-A': [602], 'Chinese': [605], 'Universities,': [606], '35,': [608, 3400], 'further': [614], 'study': [615], 'nonlinear': [618, 688, 1035, 1309, 1551, 1874, 3521, 3578, 3797], 'equation1': [620, 1928], 'Japan': [624], 'Industrial': [627, 4595, 4611], '37,': [632, 3839, 4403], 'average': [639], 'number': [641, 662, 761, 878, 1146, 1213, 1510, 1533, 1615, 1897, 2270, 2384, 2399, 2471, 2495, 2743, 2796, 2950, 3499], 'tensor': [643], 'rank': [644], 'decompositions20': [645], 'June': [646, 803, 858, 1072, 2061, 2068, 2464, 3959, 4585], 'IMA': [649, 1003], 'Analysis,': [653, 1007, 1835, 1982, 1996, 3398, 4451, 4503], '40,': [655, 814, 839, 869, 3602], 'Structured': [660, 785, 1014, 1232, 1426, 2097, 2214, 2614, 3736, 4011], 'multiple': [664, 2541], 'right-hand': [665, 2542], 'side': [666], 'parameterized': [670, 1411, 1431], 'quasiseparable': [671, 1412, 1432], 'coefficient': [672, 1413], 'matrixJournal': [673], '368': [680, 3027], 'an': [686, 1697, 2005], 'eigenvector-dependent': [687], 'eigenvalue': [689, 1427, 1452], 'applications3': [692], 'BIT': [696, 2351], '60,': [700, 4092, 4191], 'Characterizations': [706], 'Distribution': [709], 'Complex': [716], 'Gaussian': [717], 'MatrixSpecial': [718], 'Matrices,': [719], '8,': [721, 3916, 3966], 'Extended': [731], 'Normal': [732], 'EquationsHenri': [733], 'Calandra,': [734], 'Serge': [735, 2130], 'Gratton,': [736], 'Elisa': [737], 'Riccietti,': [738], 'Xavier': [740], 'Vasseur8': [741], '41,': [753], '4AbstractPDF': [755, 1192, 2116, 2715, 3097, 3453, 3480], '(563': [756], 'KB)Backward': [757], 'error': [758, 2154, 2878, 2960], 'problem16': [769], '2018': [771, 887, 905, 960, 984, 1049, 1180], 'International': [773, 1264, 4346], 'Computer': [776, 1267, 2546], '96,': [779], '8': [781, 1296, 2286, 2449, 2577, 3604], 'Map': [791], 'between': [792, 4099], 'ApplicationsBahar': [796], 'Arslan,': [797], 'Vanni': [798], 'Noferini,': [799], 'Françoise': [801], 'Tisseur25': [802], '2AbstractPDF': [816, 841, 871, 2740, 2922, 3150, 3201, 3308, 3573, 3659, 3997, 4161], '(761': [817], 'KB)Sensitivity': [818], 'EigenproblemsRafikul': [822], 'Alam': [823], 'Sk.': [825], 'Safique': [826], 'Ahmad30': [827], '(358': [842], 'KB)Pencil-Based': [843], 'Algorithms': [844, 3802, 4217], 'are': [849], 'not': [850], 'StableCarlos': [851], 'Beltrán,': [852], 'Paul': [853], 'Breiding,': [854], 'Vannieuwenhoven13': [857], '(2570': [872], 'KB)A': [873, 2118, 3099, 4163], 'note': [874, 2194, 2636], 'scaled': [881], 'problem25': [885], 'Calcolo,': [889, 1225], '55,': [891, 2506], 'Acute': [896], 'perturbation': [897, 1276, 1303, 2162, 3343], 'Drazin': [899, 2403, 2473, 2799], 'inverse': [900, 1946, 2200, 2275, 2312, 2474, 2561, 2676, 2748, 2800], 'oblique': [902, 2419], 'projectors22': [903], 'Frontiers': [907], 'China,': [911], '13,': [913, 3899], 'function': [923, 1093, 2341], 'solution': [926, 1096, 1871, 2754, 2804, 2848, 3055, 3832], 'constraintsJournal': [935], '344': [942], 'Backward': [948, 1168, 3286], 'Polynomial': [953], 'Equation': [954, 978, 1119, 1977], 'Arising': [955], 'Stochastic': [957], 'Models17': [958], 'Scientific': [964, 1787, 2917, 3475, 3726, 3940], 'Computing,': [965, 1320, 1788, 1887, 2763, 2918, 3476, 3727, 3943], '76,': [967], '2': [969, 1504, 1544, 2489, 2632, 2652, 2821, 3590, 3885, 4315, 4353], 'Xp-A⁎eXA=IJournal': [979], 'Spaces,': [982], 'algorithms': [988, 1714, 4392], 'approximating': [990], '$\\varphi$-functions': [991], 'large': [997], 'sparse': [998], 'matrices13': [999], '2017': [1001, 1073, 1130, 1223, 1262, 1363, 1390], '38,': [1009, 1373], 'some': [1018, 1713, 2621, 3328], 'factorizations': [1020], 'structured': [1022, 1144, 2622], 'matricesJournal': [1023, 2623], '336': [1030], 'Design': [1033], 'modeling': [1036, 3795], 'sensitive': [1039], 'sensor': [1040], 'measurement': [1043], 'flow': [1045], 'mice3': [1047], 'Physiological': [1051], 'Measurement,': [1052], '39,': [1054, 1138, 1190, 3863, 4327], 'weighted': [1064, 1512, 2310, 2314, 2498, 3507], 'using': [1069, 4340], 'dual': [1070, 2329], 'norms16': [1071], '66,': [1080], 'Mixed': [1085], 'componentwise': [1087, 1672, 2333, 2617], 'problemLinear': [1102, 1679], 'Algebra': [1103, 1396, 1558, 1577, 1680, 1723, 1960, 2173, 2296, 2571, 2854, 2869, 2982, 3022, 3062, 3165, 3212, 3260, 3372, 3544, 3667, 4013], '544': [1108], 'Positive': [1112, 1299], 'Definite': [1113], 'Xs': [1120], '−': [1121, 1125], '*': [1123], 'X': [1124], 'tA': [1126], '=': [1127], 'Q28': [1128], 'Functional': [1133, 3354, 3682], 'self-adjoint': [1148], 'equations': [1151, 3020, 3160, 4531], 'applications': [1153, 2751], 'controlJournal': [1156], '331': [1163], 'Multiparameter': [1172], 'Eigenvalue': [1173, 3437], 'ProblemsArnab': [1174], 'Ghosh': [1175], 'Rafikul': [1177], 'Alam27': [1178], 'November': [1179, 1286, 1434, 1781, 1839, 2224, 3487], '(586': [1193], 'KB)On': [1194, 3758], 'partial': [1196], 'problemApplied': [1204, 2318], 'Partial': [1211], 'problem7': [1221, 1903], 'April': [1222, 1415, 2009, 3892], '54,': [1227, 3238], 'small': [1236, 1919], 'sample': [1237, 1920], 'symmetric': [1241], 'Riccati': [1243, 1622, 1849, 2368, 3159, 3182, 3370, 3406, 3824, 4007, 4029, 4118, 4530], 'equationsApplied': [1244, 2882], '314': [1249], 'periodic': [1256, 1603, 3209], 'generalized': [1257, 1451, 1926, 2199, 2994, 4357], 'coupled': [1258], 'Sylvester': [1259, 1927], 'equation19': [1260], '94,': [1270], '10': [1272, 2395], 'bounds': [1277, 2991, 3344, 4051], 'hyperbolic': [1283], 'QR': [1284, 1468], 'factorization1': [1285], '2016': [1287, 1416], '65,': [1294], 'definite': [1300, 1870, 2847, 3015], 'solutions': [1301, 3016, 3763, 4056], 'class': [1307], 'equations12': [1311], 'December': [1312, 1536, 1803, 1851, 2103, 2254, 3320], '2015': [1313, 1435, 1749, 3960], '53,': [1322, 2790], '1-2': [1324, 1891, 2767, 4108], 'quadric': [1334], 'inequality': [1335], 'constraintComputers': [1336], '&': [1337, 2501, 4170, 4601], '73,': [1342, 1421], 'ProblemBing': [1355], 'Zheng,': [1356], 'Lingsheng': [1357], 'Meng,': [1358], 'Wei31': [1361], '3AbstractPDF': [1375, 2145, 3123, 3634, 3756, 3947], '(385': [1376], 'KB)Condition': [1377, 2147, 2269, 2742, 3636, 3661, 4138], 'Intersecting': [1379], 'Projective': [1381], 'Variety': [1382], 'Varying': [1385], 'SubspacePeter': [1387], 'Bürgisser1': [1388], 'Geometry,': [1398], '1,': [1400, 4476], '(284': [1403], 'matrices14': [1414], 'matrices16': [1433], '134,': [1440], 'Small-sample': [1445], 'large-scale': [1450], 'problemsJournal': [1453], '298': [1460], 'symplectic': [1467], 'factorizationJournal': [1469], 'Franklin': [1472], 'Institute,': [1473], '353,': [1475], '5': [1477, 1649, 1938, 2668, 3266, 3703, 4385], 'Mixed,': [1480], 'Componentwise': [1481], 'Small': [1485, 2100], 'Sample': [1486], 'Estimation': [1489, 2894, 3637, 3807], 'Generalized': [1491, 3290], 'Spectral': [1492, 2696], 'Projections': [1493, 2244], 'Sign': [1496, 3925, 3977], 'FunctionsTaiwanese': [1497], '20,': [1502, 1964, 2765, 3359, 3426], 'flexible': [1508, 3874], '292': [1527], 'Estimating': [1530, 1763], 'f(A)b14': [1535], '2014': [1537, 1782, 1804, 1827], 'equation': [1553, 1694, 1876, 2294, 2852, 2980, 3059, 3825], 'estimationLinear': [1557], '482': [1563], 'extinction': [1570], 'probability': [1571, 3034, 4233], 'Markovian': [1574], 'binary': [1575], 'treeLinear': [1576], '475': [1582], 'Equations': [1589, 2902, 3407, 4008], 'Decompositions': [1591], 'spectral': [1599, 2867, 3849], 'projections': [1600], 'associated': [1601, 1695, 3247], 'eigenproblemsJournal': [1604], '272': [1611], 'backward': [1617, 2161], 'nonsymmetric': [1620], 'equationApplied': [1623], '242': [1628], 'ON': [1631, 1652, 2036], 'THE': [1632, 1653, 2041, 2929], 'EXISTENCE': [1633], 'OF': [1634, 1638, 2040, 2082, 2657, 2928, 4272, 4281], 'POSITIVE': [1635, 2037], 'DEFINITE': [1636, 2038], 'SOLUTIONS': [1637, 2039], 'NONLINEAR': [1640, 1654, 2659], 'MATRIX': [1641, 1655, 2042, 2660], 'EQUATIONTaiwanese': [1642, 2661], '18,': [1647, 2177, 3451, 3478], 'EQUATION': [1656, 2043], '$X+\\sum_{i=1}^{m}A_i^*X^{-q}A_i=Q$(0＜q≤1)Bulletin': [1657], 'Korean': [1660], 'Mathematical': [1661, 3896, 4473], 'Society,': [1662], '51,': [1664], '448': [1685], 'M': [1698], '-matrixJournal': [1699], '260': [1706], 'stability': [1711, 3828], 'computing': [1716], 'action': [1718], 'exponentialLinear': [1722], '443': [1728], 'Moore-Penrose': [1737, 1945, 2077], 'Inverse': [1738, 2078], 'involving': [1745, 1952], 'Kronecker': [1746, 1953, 2536], 'Products28': [1747], 'East': [1751], 'Asian': [1752], 'Fréchet': [1769], 'Derivative': [1770], 'FunctionNicholas': [1774], 'Higham': [1776], 'Samuel': [1778], 'D.': [1779], 'Relton25': [1780], '36,': [1790, 3513], '6AbstractPDF': [1792, 4048, 4455], '(327': [1793], 'KB)Stochastic': [1794], 'FunctionsSerge': [1798], 'Gratton': [1799], 'David': [1801], 'Titley-Peloquin16': [1802], 'SIAM/ASA': [1806], 'Uncertainty': [1809], 'Quantification,': [1810], '2,': [1812], '(336': [1815, 2238], 'KB)Statistical': [1816], 'Estimates': [1817, 3432, 3609, 3709, 4139], 'Problems6': [1825], 'Vector': [1830], 'Norms,': [1833], 'Efficiency': [1836, 3274], 'Stability26': [1838], '2013': [1840, 1852, 1880, 1905, 1930, 1984, 1998], 'stochastic': [1847], 'equation11': [1850], 'Inequalities': [1856], '2013,': [1860], 'positive': [1869, 2846, 3014], '$X-\\sum_{i=1}^{m}': [1877], 'A_{i}^{*}X^{-1}A_{i}=Q$7': [1878], '125,': [1910], 'Effective': [1915], 'Science': [1932], 'China': [1933], '56,': [1936, 2447], 'products26': [1954], '2012': [1956, 2010, 2062, 2069, 3561], 'Solutions': [1969, 4466], 'Improved': [1971, 3342], 'X-A*X-pA=Q': [1978], '(p>0)Abstract': [1979], 'EquationAbstract': [1993], 'unsymmetric': [2006], 'tridiagonal': [2007], 'matrix18': [2008], '122,': [2015], 'Bernstein': [2021, 4221, 4260], 'basis:': [2023], 'centennial': [2025], 'retrospectiveComputer': [2026], 'Aided': [2027, 4208, 4223, 4262], 'Geometric': [2028, 4209, 4224, 4263], 'Design,': [2029, 3316, 4210, 4225, 4264], '29,': [2031], '$X+A∗X^{-q}A=Q(0': [2044], '\\lt': [2045], 'q': [2046], '≤': [2047], '1)$Taiwanese': [2048], '16,': [2053, 2092, 3632, 3657, 3687], 'Piecewise': [2058, 2065], 'Affine': [2059], 'Functions27': [2060, 2067], 'Level-2': [2073], 'CONDITIONING': [2081, 2927], 'STATE': [2083], 'FEEDBACK': [2084], 'POLE': [2085], 'ASSIGNMENT': [2086, 2931], 'PROBLEMSTaiwanese': [2087], 'Pseudospectra': [2098, 2215], 'PerturbationsMichael': [2101], 'Karow8': [2102], '2011': [2104, 2133, 2190], '32,': [2114, 2143, 2393], '(318': [2117], 'Contribution': [2119], 'Least-Squares': [2126], 'ProblemMarc': [2127], 'Baboulin': [2128], 'Gratton21': [2131], '(179': [2146], 'image': [2150], 'registration': [2151, 2957], 'post-registration': [2153], 'bound': [2163], 'equations19': [2167], '2010': [2169, 2225, 2255], 'Mixed-Type': [2186], 'Lyapunov': [2187], 'Equation22': [2188], 'systemsApplied': [2204], '217,': [2209], 'Nonderogatory': [2221], 'EigenvalueMichael': [2222], 'Karow30': [2223], '5AbstractPDF': [2237, 2267, 3402], 'KB)Spectral': [2239], 'Orthogonal': [2243, 3904], 'Full': [2246], 'ResidualsJoseph': [2251], 'F.': [2252], 'Grcar8': [2253], '(251': [2268], 'related': [2271], 'outer': [2274, 2675], 'complex': [2278], 'matrixApplied': [2279], '215,': [2284, 2323], 'X-A∗X-pA=QLinear': [2295], '431,': [2301], '9': [2303], 'Moore–Penrose': [2311, 2499, 2560], 'Using': [2328], 'techniques': [2330], 'derive': [2332], 'solution12': [2347], '2009': [2349, 3893], '49,': [2355], 'Multiple': [2363], 'Outage': [2364], 'Interaction': [2365], 'sensitivity': [2371, 2864, 3760], 'MinMax': [2374], 'controlled': [2375], 'cable-mass': [2376], 'system': [2377, 2808, 3539, 3910, 4184, 4362], 'Study': [2380, 2453], 'effective': [2382], 'collocation': [2386], 'methodsEngineering': [2387], 'Boundary': [2390], 'Elements,': [2391], 'W-weighted': [2402], 'inverseApplied': [2404], '203,': [2409, 2426], 'pair': [2417], 'projectors': [2420], 'andApplied': [2421], 'Multiplicative': [2432], 'Calderon': [2433], 'Preconditioner': [2434], 'Electric': [2437], 'Field': [2438], 'Integral': [2439], 'EquationIEEE': [2440], 'Transactions': [2441, 2784, 2962, 3597, 3834, 3851, 4308, 4364, 4471], 'Antennas': [2443, 2520, 2786], 'Propagation,': [2445, 2788], 'Controllability': [2457], 'POD': [2459], 'Models': [2460], 'Feedback': [2462], 'Controllers15': [2463], '2008': [2465, 3488], 'Comment': [2468], '“condition': [2470], 'systems”Applied': [2482], '199,': [2487], 'level-2': [2493], 'inverseComputers': [2500], 'Near': [2511], 'fields': [2512], 'resonant': [2514], 'circular': [2515], 'arrays': [2516], 'cylindrical': [2518], 'dipolesIEEE': [2519], 'Propagation': [2522], 'Magazine,': [2523, 3914], '50,': [2525, 2886, 4248], 'product': [2537], 'sidesInternational': [2543], '84,': [2549], '12': [2551], 'Frobenius': [2555, 3163, 3508], 'normwise': [2556], 'least-squares': [2564], 'problems1': [2565], '2007': [2567, 3351, 4289, 4344], '14,': [2575, 3754, 4453], 'Prediction': [2582, 2585], 'Product': [2583], 'FNN': [2584], 'Model': [2586], 'Based': [2587], 'Analog': [2592, 3857], 'Deviation': [2593], 'Description': [2596], 'Key': [2598], 'Performance': [2599, 3768], 'Index': [2600], 'States': [2601], 'based': [2602], 'Cloud': [2604], 'Weight': [2607], 'Mean': [2608], 'method': [2609, 2780, 2942, 3792], 'Multi-sensor': [2611], '202,': [2630], 'approximation': [2639, 3031, 4087], 'two-sided': [2641], 'Rayleigh': [2642], 'quotient': [2643], 'eigenvaluesApplied': [2645], '184,': [2650], 'PERTURBATION': [2655, 2824, 4274], 'ANALYSIS': [2656], '10,': [2666, 4159], 'systemApplied': [2681, 3002], '174,': [2686], 'PreconditionersL.': [2697], 'Giraud': [2698], 'Gratton31': [2701], '2006': [2703, 2728, 2912, 3085, 3111, 3138, 3189, 3296, 3392, 3416, 3441, 3470, 3622, 3647, 3721, 3744, 3935, 3985, 4037, 4125, 4149, 4445, 4497, 4589], '27,': [2713, 4106], '(206': [2716], 'Invariant': [2721], 'SubspacesRalph': [2722], 'Byers': [2723], 'Daniel': [2725], 'Kressner4': [2726], '28,': [2738, 4046, 4134], '(255': [2741], 'w-weighted': [2746], 'drazin': [2747], 'rectangular': [2756], 'systemJournal': [2758], 'Bibliography': [2770], 'Optimal': [2773], 'priori': [2775, 2936], 'clipping': [2776, 2937], 'wavelet-based': [2779, 2941], 'moments': [2782, 2944], 'matricesIEEE': [2783], 'Drazin-inverse': [2803], 'numbersJournal': [2812], '182,': [2819], 'BOUNDS': [2825], 'FOR': [2826, 3779, 4276, 4279], 'SUBSPACES': [2827], 'ASSOCIATED': [2828], 'WITH': [2829], 'PERIODIC': [2830], 'EIGENPROBLEMSTaiwanese': [2831], '9,': [2836, 4505], 'X−A*X−2A=ILinear': [2853], '394': [2859], 'projectionLinear': [2868], '395': [2874], 'estimate': [2879], '3-4': [2888, 3689], 'Posteriori': [2892], 'Global': [2896], 'Control': [2898, 3312, 3952, 4042, 4130, 4171], 'Ordinary': [2900], 'Differential': [2901, 4117], 'by': [2903], 'Adjoint': [2905], 'MethodYang': [2906], 'Cao': [2907, 3106], 'Linda': [2909, 3108], 'Petzold26': [2910], '26,': [2920, 4369], '(178': [2923], 'KB)NUMERICAL': [2924], 'METHODS': [2925], 'AND': [2926, 3781], 'EIGENVALUE': [2930], 'PROBLEMS': [2932], 'threshold': [2938], 'point': [2952], 'matching': [2953], 'application': [2955, 2998, 4085], 'postregistration': [2959], 'estimationIEEE': [2961], 'Pattern': [2964], 'Machine': [2967], 'Intelligence,': [2968], 'X=Q+AH(X−C)−1ALinear': [2981], '372': [2987], 'inverses': [2995], 'AT,S(2)': [2996], '142,': [3007], 'Xs±ATX−tA=InLinear': [3021], 'Fourier–Legendre': [3030], 'density': [3035], 'from': [3036], 'discrete': [3037], 'dataJournal': [3038], '154,': [3045], 'maximal': [3054], 'X+A∗X−1A=P.': [3060], 'IILinear': [3061], '362': [3067], 'Unified': [3071], 'Theoryof': [3072], 'Regularization': [3080], 'SolutionsA.': [3081], 'N.': [3082], 'Malyshev31': [3083], '24,': [3095, 3121, 3199, 3531, 3588], '(151': [3098], 'Subspace': [3100, 4000], 'Estimate': [3102], 'SystemsYang': [3105], 'Petzold31': [3109], '(512': [3124], 'Eigenvalues': [3127], 'Polynomials': [3130, 4433], 'via': [3131, 3641, 4541], 'Bauer--Fike': [3133], 'TheoremsEric': [3134], 'King-wah': [3135], 'Chu31': [3136], '(225': [3151], 'KB)Bibliography': [3152], 'normLinear': [3164], '350,': [3170], '1-3': [3172, 3219], 'Periodic': [3179], 'Discrete-Time': [3180], 'Algebraic': [3181, 3405, 4028, 4115, 4469], 'EquationWen-Wei': [3183], 'Lin': [3184], 'Ji-guang': [3186], 'Sun31': [3187, 3294], '(296': [3202], 'eigenproblem': [3207], 'pairsLinear': [3211], '337,': [3217], 'About': [3222], 'Hölder': [3223], 'stratification': [3228], 'diagram': [3229], 'defective': [3231], 'eigenvaluesMathematics': [3232], 'Computers': [3234], 'Simulation,': [3236], '4-5': [3240], 'polar': [3250], 'matrix1': [3254], '2000': [3256], '7,': [3264], 'Measuring': [3269], 'Robustness': [3271], 'Empirical': [3273], 'ValuationsManagement': [3275], 'Science,': [3276], '46,': [3278], 'Singular': [3291, 3317, 3385, 3461], 'Value': [3292, 3318, 3386, 3462], 'DecompositionJi-guang': [3293], '22,': [3306, 4569], '(198': [3309], 'KB)Software': [3310], 'System': [3313], 'Decomposition27': [3319], '1999': [3321], 'quasi-linear': [3329], 'transformationsJournal': [3330], '104,': [3337], 'equations15': [3349], '7-8': [3361], 'discrete-time': [3368, 3822, 3848], 'equationLinear': [3371], '275-276': [3377], 'Accurate': [3380, 3460, 4458], 'Computation': [3381, 3463, 4332], 'Product-Induced': [3384], 'ApplicationsZlatko': [3389], 'Drmac25': [3390, 3468], '(925': [3403], 'KB)Nonsymmetric': [3404], 'Hamiltonian-like': [3409], 'MatricesJonq': [3410], 'Juang': [3411], 'Wen-Wei': [3413], 'Lin31': [3414], '(348': [3429], 'KB)Small-Sample': [3430], 'ProblemsThorkell': [3438], 'Gudmundsson31': [3439], '(492': [3454], 'KB)Implementation': [3455], 'Jacobi': [3457], 'Rotations': [3458], 'Floating': [3465], 'Point': [3466], 'ArithmeticZlatko': [3467], '(393': [3481], 'KB)Complexity': [3482], 'numerical': [3485, 4198, 4236, 4255], 'analysis7': [3486], 'Acta': [3490], 'Numerica,': [3491], 'normBIT': [3509], 'identification': [3519, 3576, 4185, 4536], 'biological': [3522, 3579], 'systems:': [3523, 3580], 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'chainsAnnals': [3696], 'Nuclear': [3698], 'Energy,': [3699], '21,': [3701, 3772], 'General': [3711], 'FunctionsC.': [3713], 'Kenney': [3715, 3929, 3979, 4120, 4143], 'Laub31': [3719], '15,': [3729, 3883, 4383], '(2521': [3732], 'KB)Mixed,': [3733], 'Componentwise,': [3734], 'NumbersI.': [3738], 'Gohberg': [3739], 'I.': [3741], 'Koltracht17': [3742], '(1519': [3757], 'transient': [3762], 'Markov': [3765], 'modelsACM': [3766], 'SIGMETRICS': [3767], 'Review,': [3770, 3964], 'DECOMPOSED': [3777], 'ALGORITHMS': [3778, 4278], 'SPEED': [3780], 'PARAMETER': [3782], 'ESTIMATION': [3783], 'IN': [3784], 'INDUCTION': [3785], 'MACHINES': [3786], 'Application': [3789], 'orthogonal-search': [3791], 'Decomposed': [3801], 'Speed': [3804], 'Parameter': [3806], 'Induction': [3809], 'MachinesIFAC': [3810], 'Proceedings': [3811], 'Volumes,': [3812], '13': [3816], 'Scaling': [3819], 'enhance': [3827], 'methodIEEE': [3833], 'state-space': [3845, 4335], 'approach': [3846, 4521], 'factorizationIEEE': [3850], 'Circuits': [3853], 'Systems': [3855, 3950], 'II:': [3856], 'Digital': [3859, 4016], 'Signal': [3860, 3912, 4017], 'Processing,': [3861], 'transmission': [3871], 'zeros': [3872], 'space': [3875], 'structuresJournal': [3876], 'Guidance,': [3878], 'Dynamics,': [3881], 'Computing': [3888], 'barycentric': [3890], 'polynomials29': [3891], 'Intelligencer,': [3897], 'approaches': [3905], 'time-series': [3907, 4187], 'identificationIEEE': [3911], 'Processing': [3913, 4018], 'Polar': [3921], 'EstimatesCharles': [3928], 'Alan': [3931, 3981, 4145], 'Laub13': [3933], '12,': [3945, 3995, 4174], '(1503': [3948], 'KB)Expert': [3949], 'Engineering:': [3953], 'Review': [3955], 'Perspective2': [3958], 'IETE': [3962], 'Technical': [3963], 'Rational': [3971], 'Methods': [3973, 4001], 'FunctionCharles': [3978], '(1516': [3998], 'KB)Invariant': [3999], 'Computable': [4021], 'Bounds': [4022, 4463], 'EquationP.': [4030], 'Gahinet': [4031], 'Laub14': [4035], '(1966': [4049], 'KB)Error': [4050], 'Newton': 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