A numerical algorithm to find a root of non-linearequations using householder’s method

Name: Work Video:
Duration: 3 min 30 s
Description: &lt;p&gt;In this paper, we propose a three step algorithm using Householder’s method for find-ing an approximate root of the given non-linear equations in one variable. Severalnumerical examples are presented to illustrate and validation of the proposed method.Implementation of the proposed algorithm in Maple is also discussed with samplecomputations.&lt;/p&gt;
Srinivasarao Thota
{'id': 'https://openalex.org/W3126625803', 'doi': 'https://doi.org/10.11591/ijaas.v10.i2.pp141-148', 'title': 'A numerical algorithm to find a root of non-linearequations using householder’s method', 'display_name': 'A numerical algorithm to find a root of non-linearequations using householder’s method', 'publication_year': 2021, 'publication_date': '2021-06-01', 'ids': {'openalex': 'https://openalex.org/W3126625803', 'doi': 'https://doi.org/10.11591/ijaas.v10.i2.pp141-148', 'mag': '3126625803'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.11591/ijaas.v10.i2.pp141-148', 'pdf_url': 'http://ijaas.iaescore.com/index.php/IJAAS/article/download/20425/12932', 'source': {'id': 'https://openalex.org/S2765040249', 'display_name': 'International Journal of Advances in Applied Sciences', 'issn_l': '2252-8814', 'issn': ['2252-8814', '2722-2594'], 'is_oa': True, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315009', 'host_organization_name': 'Institute of Advanced Engineering and Science (IAES)', 'host_organization_lineage': ['https://openalex.org/P4310315009'], 'host_organization_lineage_names': ['Institute of Advanced Engineering and Science (IAES)'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'gold', 'oa_url': 'http://ijaas.iaescore.com/index.php/IJAAS/article/download/20425/12932', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5040468751', 'display_name': 'Srinivasarao Thota', 'orcid': 'https://orcid.org/0000-0002-3265-5656'}, 'institutions': [{'id': 'https://openalex.org/I865572129', 'display_name': 'Adama Science and Technology University', 'ror': 'https://ror.org/02ccba128', 'country_code': 'ET', 'type': 'education', 'lineage': ['https://openalex.org/I865572129']}], 'countries': ['ET'], 'is_corresponding': True, 'raw_author_name': 'Srinivasarao Thota', 'raw_affiliation_strings': ['Adama Science and Technology University'], 'affiliations': [{'raw_affiliation_string': 'Adama Science and Technology University', 'institution_ids': ['https://openalex.org/I865572129']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5040468751'], 'corresponding_institution_ids': ['https://openalex.org/I865572129'], 'apc_list': None, 'apc_paid': None, 'fwci': 1.528, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 6, 'citation_normalized_percentile': {'value': 0.645171, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 81, 'max': 83}, 'biblio': {'volume': '10', 'issue': '2', 'first_page': '141', 'last_page': '141'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12661', 'display_name': 'Iterative Methods for Nonlinear Equations', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2612', 'display_name': 'Numerical Analysis'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T12661', 'display_name': 'Iterative Methods for Nonlinear Equations', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2612', 'display_name': 'Numerical Analysis'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11245', 'display_name': 'Advanced Numerical Analysis Techniques', 'score': 0.9796, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T13116', 'display_name': 'Heat Transfer and Numerical Methods', 'score': 0.9436, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/root', 'display_name': 'Root (linguistics)', 'score': 0.7245156}], 'concepts': [{'id': 'https://openalex.org/C2780414537', 'wikidata': 'https://www.wikidata.org/wiki/Q42292', 'display_name': 'Maple', 'level': 2, 'score': 0.75526786}, {'id': 'https://openalex.org/C171078966', 'wikidata': 'https://www.wikidata.org/wiki/Q111029', 'display_name': 'Root (linguistics)', 'level': 2, 'score': 0.7245156}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.648512}, {'id': 'https://openalex.org/C182365436', 'wikidata': 'https://www.wikidata.org/wiki/Q50701', 'display_name': 'Variable (mathematics)', 'level': 2, 'score': 0.61357874}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5530935}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.33333218}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.10278526}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C59822182', 'wikidata': 'https://www.wikidata.org/wiki/Q441', 'display_name': 'Botany', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.11591/ijaas.v10.i2.pp141-148', 'pdf_url': 'http://ijaas.iaescore.com/index.php/IJAAS/article/download/20425/12932', 'source': {'id': 'https://openalex.org/S2765040249', 'display_name': 'International Journal of Advances in Applied Sciences', 'issn_l': '2252-8814', 'issn': ['2252-8814', '2722-2594'], 'is_oa': True, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315009', 'host_organization_name': 'Institute of Advanced Engineering and Science (IAES)', 'host_organization_lineage': ['https://openalex.org/P4310315009'], 'host_organization_lineage_names': ['Institute of Advanced Engineering and Science (IAES)'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'https://zenodo.org/record/5076652', 'pdf_url': 'https://zenodo.org/records/5076652/files/05.pdf', 'source': {'id': 'https://openalex.org/S4306400562', 'display_name': 'Zenodo (CERN European Organization for Nuclear Research)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I67311998', 'host_organization_name': 'European Organization for Nuclear Research', 'host_organization_lineage': ['https://openalex.org/I67311998'], 'host_organization_lineage_names': ['European Organization for Nuclear Research'], 'type': 'repository'}, 'license': 'cc-by', 'license_id': 'https://openalex.org/licenses/cc-by', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.11591/ijaas.v10.i2.pp141-148', 'pdf_url': 'http://ijaas.iaescore.com/index.php/IJAAS/article/download/20425/12932', 'source': {'id': 'https://openalex.org/S2765040249', 'display_name': 'International Journal of Advances in Applied Sciences', 'issn_l': '2252-8814', 'issn': ['2252-8814', '2722-2594'], 'is_oa': True, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315009', 'host_organization_name': 'Institute of Advanced Engineering and Science (IAES)', 'host_organization_lineage': ['https://openalex.org/P4310315009'], 'host_organization_lineage_names': ['Institute of Advanced Engineering and Science (IAES)'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 22, 'referenced_works': ['https://openalex.org/W1555930509', 'https://openalex.org/W1568760617', 'https://openalex.org/W1651714918', 'https://openalex.org/W1973072613', 'https://openalex.org/W1992709107', 'https://openalex.org/W2043430598', 'https://openalex.org/W2048632019', 'https://openalex.org/W2068580905', 'https://openalex.org/W2089470918', 'https://openalex.org/W2090963365', 'https://openalex.org/W2133661847', 'https://openalex.org/W2525875257', 'https://openalex.org/W2906525673', 'https://openalex.org/W2921315566', 'https://openalex.org/W2952478211', 'https://openalex.org/W2965442876', 'https://openalex.org/W3013957108', 'https://openalex.org/W3022527580', 'https://openalex.org/W3040180899', 'https://openalex.org/W4242894261', 'https://openalex.org/W4299512035', 'https://openalex.org/W4300958081'], 'related_works': ['https://openalex.org/W650945805', 'https://openalex.org/W4300811723', 'https://openalex.org/W4249171332', 'https://openalex.org/W3008027610', 'https://openalex.org/W2970670716', 'https://openalex.org/W2966474385', 'https://openalex.org/W2619973341', 'https://openalex.org/W2522483390', 'https://openalex.org/W2210259036', 'https://openalex.org/W2019433297'], 'abstract_inverted_index': {'&lt;p&gt;In': [0], 'this': [1], 'paper,': [2], 'we': [3], 'propose': [4], 'a': [5], 'three': [6], 'step': [7], 'algorithm': [8, 40], 'using': [9], 'Householder’s': [10], 'method': [11], 'for': [12], 'find-ing': [13], 'an': [14], 'approximate': [15], 'root': [16], 'of': [17, 33, 37], 'the': [18, 34, 38], 'given': [19], 'non-linear': [20], 'equations': [21], 'in': [22, 41], 'one': [23], 'variable.': [24], 'Severalnumerical': [25], 'examples': [26], 'are': [27], 'presented': [28], 'to': [29], 'illustrate': [30], 'and': [31], 'validation': [32], 'proposed': [35, 39], 'method.Implementation': [36], 'Maple': [42], 'is': [43], 'also': [44], 'discussed': [45], 'with': [46], 'samplecomputations.&lt;/p&gt;': [47]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3126625803', 'counts_by_year': [{'year': 2024, 'cited_by_count': 4}, {'year': 2023, 'cited_by_count': 2}], 'updated_date': '2025-01-10T05:53:58.049949', 'created_date': '2021-02-15'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
