{"id":"https://openalex.org/W4235031952","doi":"https://doi.org/10.1007/s00211-014-0640-2","title":"Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems: II. Accelerated algorithms","display_name":"Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems: II. Accelerated algorithms","publication_year":2014,"publication_date":"2014-06-11","ids":{"openalex":"https://openalex.org/W4235031952","doi":"https://doi.org/10.1007/s00211-014-0640-2"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-014-0640-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0640-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047875137","display_name":"Daniel B. Szyld","orcid":"https://orcid.org/0000-0001-8010-0391"},"institutions":[{"id":"https://openalex.org/I84392919","display_name":"Temple University","ror":"https://ror.org/00kx1jb78","country_code":"US","type":"education","lineage":["https://openalex.org/I84392919"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel B. Szyld","raw_affiliation_strings":["Department of Mathematics, Temple University, 1805 N. Broad Street, Philadelphia, PA\u00a0, 19122-6094, USA","Department of Mathematics, Temple University, Philadelphia, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Temple University, 1805 N. Broad Street, Philadelphia, PA\u00a0, 19122-6094, USA","institution_ids":["https://openalex.org/I84392919"]},{"raw_affiliation_string":"Department of Mathematics, Temple University, Philadelphia, USA","institution_ids":["https://openalex.org/I84392919"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068501050","display_name":"Fei Xue","orcid":"https://orcid.org/0000-0002-2491-9359"},"institutions":[{"id":"https://openalex.org/I79516672","display_name":"University of Louisiana at Lafayette","ror":"https://ror.org/01x8rc503","country_code":"US","type":"education","lineage":["https://openalex.org/I2799628689","https://openalex.org/I79516672"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Fei Xue","raw_affiliation_strings":["Department of Mathematics, University of Louisiana at Lafayette, P.O. Box 41010, Lafayette, LA\u00a0, 70504-1010, USA","Department of Mathematics, University of Louisiana at Lafayette, Lafayette, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Louisiana at Lafayette, P.O. Box 41010, Lafayette, LA\u00a0, 70504-1010, USA","institution_ids":["https://openalex.org/I79516672"]},{"raw_affiliation_string":"Department of Mathematics, University of Louisiana at Lafayette, Lafayette, USA","institution_ids":["https://openalex.org/I79516672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5068501050"],"corresponding_institution_ids":["https://openalex.org/I79516672"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9843,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78435919,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"129","issue":"2","first_page":"383","last_page":"403"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9998000264167786,"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":0.9998000264167786,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8142266869544983},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8112928867340088},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.7128064632415771},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6575555801391602},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.6126071214675903},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.593288779258728},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.554149329662323},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5508936047554016},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5244526863098145},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.49676448106765747},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4948574900627136},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4739427864551544},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.47108232975006104},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3752281367778778},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.27318549156188965},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2443103790283203},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08920234441757202}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8142266869544983},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8112928867340088},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.7128064632415771},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6575555801391602},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.6126071214675903},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.593288779258728},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.554149329662323},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5508936047554016},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5244526863098145},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.49676448106765747},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4948574900627136},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4739427864551544},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.47108232975006104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3752281367778778},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.27318549156188965},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2443103790283203},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08920234441757202},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-014-0640-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0640-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W613127284","https://openalex.org/W1989251100","https://openalex.org/W2015321063","https://openalex.org/W2132328229","https://openalex.org/W2142149567","https://openalex.org/W2159901087","https://openalex.org/W2166430540","https://openalex.org/W2500975155"],"related_works":["https://openalex.org/W2387535608","https://openalex.org/W2350788688","https://openalex.org/W2799975713","https://openalex.org/W2380062341","https://openalex.org/W2367976695","https://openalex.org/W4297921956","https://openalex.org/W2951861326","https://openalex.org/W4308500253","https://openalex.org/W1985487460","https://openalex.org/W2106539244"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}