{"id":"https://openalex.org/W4385003945","doi":"https://doi.org/10.48550/arxiv.2307.10775","title":"Perturbation bounds for the largest C-eigenvalue of piezoelectric-type tensors","display_name":"Perturbation bounds for the largest C-eigenvalue of piezoelectric-type tensors","publication_year":2023,"publication_date":"2023-07-20","ids":{"openalex":"https://openalex.org/W4385003945","doi":"https://doi.org/10.48550/arxiv.2307.10775"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2307.10775","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2307.10775","pdf_url":"https://arxiv.org/pdf/2307.10775","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2307.10775","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003449095","display_name":"Xifu Liu","orcid":"https://orcid.org/0000-0002-8061-6256"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Liu, Xifu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065269323","display_name":"Dongdong Liu","orcid":"https://orcid.org/0000-0001-5621-2975"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Dongdong","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101225922","display_name":"Yaping Shi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shi, Yaping","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003449095"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9837999939918518,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T12303","display_name":"Tensor decomposition and applications","score":0.9837999939918518,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9514999985694885,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T12907","display_name":"Mechanical Engineering and Vibrations Research","score":0.9138000011444092,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.793499231338501},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.7768217325210571},{"id":"https://openalex.org/keywords/piezoelectricity","display_name":"Piezoelectricity","score":0.5795365571975708},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5108098983764648},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4984748363494873},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.48796147108078003},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.4833800196647644},{"id":"https://openalex.org/keywords/coupling-constant","display_name":"Coupling constant","score":0.4298759698867798},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3508005142211914},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.33628466725349426},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2966434955596924},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.15456047654151917},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.06921392679214478}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.793499231338501},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.7768217325210571},{"id":"https://openalex.org/C100082104","wikidata":"https://www.wikidata.org/wiki/Q183759","display_name":"Piezoelectricity","level":2,"score":0.5795365571975708},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5108098983764648},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4984748363494873},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.48796147108078003},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.4833800196647644},{"id":"https://openalex.org/C183276030","wikidata":"https://www.wikidata.org/wiki/Q1193095","display_name":"Coupling constant","level":2,"score":0.4298759698867798},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3508005142211914},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.33628466725349426},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2966434955596924},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15456047654151917},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.06921392679214478},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2307.10775","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2307.10775","pdf_url":"https://arxiv.org/pdf/2307.10775","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2307.10775","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2307.10775","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2307.10775","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2307.10775","pdf_url":"https://arxiv.org/pdf/2307.10775","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385003945.pdf","grobid_xml":"https://content.openalex.org/works/W4385003945.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W120386264","https://openalex.org/W2369514825","https://openalex.org/W4309764133","https://openalex.org/W3094386287","https://openalex.org/W2031123327","https://openalex.org/W4389328717","https://openalex.org/W2132160072","https://openalex.org/W3210408447","https://openalex.org/W2761298569","https://openalex.org/W597924346"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"focus":[4],"on":[5],"the":[6,10,14,24,41,49,52],"perturbation":[7,30,43,53],"analysis":[8,35],"of":[9,13,51],"largest":[11],"C-eigenvalue":[12],"piezoelectric-type":[15],"tensor":[16,54],"which":[17,22],"has":[18,45],"concrete":[19],"physical":[20],"meaning":[21],"determines":[23],"highest":[25],"piezoelectric":[26],"coupling":[27],"constant.":[28],"Three":[29],"bounds":[31],"are":[32],"presented,":[33],"theoretical":[34],"and":[36],"numerical":[37],"examples":[38],"show":[39],"that":[40],"third":[42],"bound":[44],"high":[46],"accuracy":[47],"when":[48],"norm":[50],"is":[55],"small.":[56]},"counts_by_year":[],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
