{"id":"https://openalex.org/W2031766468","doi":"https://doi.org/10.1155/2013/676978","title":"On the Positive Definite Solutions of a Nonlinear Matrix Equation","display_name":"On the Positive Definite Solutions of a Nonlinear Matrix Equation","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2031766468","doi":"https://doi.org/10.1155/2013/676978","mag":"2031766468"},"language":"en","primary_location":{"id":"doi:10.1155/2013/676978","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/676978","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/676978.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2013/676978.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100384497","display_name":"Panpan Liu","orcid":"https://orcid.org/0000-0002-3473-0592"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Panpan Liu","raw_affiliation_strings":["School of Mathematics, Key Laboratory of Symbolic Computation and Knowledge Engineering (Ministry of Education), Jilin University, Changchun 130012"],"raw_orcid":"https://orcid.org/0000-0002-3473-0592","affiliations":[{"raw_affiliation_string":"School of Mathematics, Key Laboratory of Symbolic Computation and Knowledge Engineering (Ministry of Education), Jilin University, Changchun 130012","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080600704","display_name":"Shugong Zhang","orcid":"https://orcid.org/0000-0002-3819-5961"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shugong Zhang","raw_affiliation_strings":["School of Mathematics, Key Laboratory of Symbolic Computation and Knowledge Engineering (Ministry of Education), Jilin University, Changchun 130012"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Key Laboratory of Symbolic Computation and Knowledge Engineering (Ministry of Education), Jilin University, Changchun 130012","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067770953","display_name":"Qingchun Li","orcid":"https://orcid.org/0000-0003-0769-0238"},"institutions":[{"id":"https://openalex.org/I121691239","display_name":"Beihua University","ror":"https://ror.org/013jjp941","country_code":"CN","type":"education","lineage":["https://openalex.org/I121691239"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingchun Li","raw_affiliation_strings":["Department of Mathematics, Beihua University, Jilin 132013"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Beihua University, Jilin 132013","institution_ids":["https://openalex.org/I121691239"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080600704"],"corresponding_institution_ids":["https://openalex.org/I194450716"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.4737,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.63457029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied 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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied 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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9987000226974487,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9941999912261963,"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/mathematics","display_name":"Mathematics","score":0.6071264743804932},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.514111340045929},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4941759407520294},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.4821855127811432},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.48172906041145325},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.30334028601646423},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14237460494041443},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.13673487305641174},{"id":"https://openalex.org/keywords/chromatography","display_name":"Chromatography","score":0.07289111614227295}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6071264743804932},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.514111340045929},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4941759407520294},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.4821855127811432},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48172906041145325},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30334028601646423},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14237460494041443},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.13673487305641174},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.07289111614227295},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/676978","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/676978","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/676978.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394807977","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1394807977","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:676978","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/676978.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:19eff06f8ec84121a1ca87f4ba3879e8","is_oa":false,"landing_page_url":"https://doaj.org/article/19eff06f8ec84121a1ca87f4ba3879e8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/676978","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/676978","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/676978.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2912096157","display_name":null,"funder_award_id":"11171133","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2031766468.pdf","grobid_xml":"https://content.openalex.org/works/W2031766468.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W658559791","https://openalex.org/W1979403862","https://openalex.org/W1985852746","https://openalex.org/W2024405670","https://openalex.org/W2034529219","https://openalex.org/W2039892738","https://openalex.org/W2048559106","https://openalex.org/W2075236812","https://openalex.org/W2101140191","https://openalex.org/W2798707604","https://openalex.org/W4255333822"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W2333431385","https://openalex.org/W3086542228","https://openalex.org/W2122837848","https://openalex.org/W2017331178","https://openalex.org/W2976797620","https://openalex.org/W2331735732","https://openalex.org/W1503871956","https://openalex.org/W2009650958","https://openalex.org/W1964732407"],"abstract_inverted_index":{"The":[0],"positive":[1,459,473],"definite":[2,460,474],"solutions":[3,461],"of":[4,458,470],"the":[5,456,468,471,488],"nonlinear":[6],"matrix":[7],"equation":[8,464,493],"<svg":[9],"style=\"vertical-align:-3.56265pt;width:137.35001px;\"":[10],"id=\"M1\"":[11],"height=\"18.1875\"":[12],"version=\"1.1\"":[13],"viewBox=\"0":[14],"0":[15,101,116,131,148,292,308,322,338,423,432],"137.35001":[16],"18.1875\"":[17],"width=\"137.35001\"":[18],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"":[19],"xmlns=\"http://www.w3.org/2000/svg\">":[20],"<g":[21,87,153,195,277],"transform=\"matrix(.017,-0,0,-.017,.062,13.688)\"><path":[22],"id=\"x1D44B\"":[23],"d=\"M775":[24],"650l-6":[25],"-28q-60":[26],"-6":[27],"-81.5":[28],"-16t-61.5":[29],"-54l-175":[30],"-191l125":[31],"-243q30":[32],"-58":[33,112],"48.5":[34,128],"-71t82.5":[35],"-19l-5":[36],"-28h-275l7":[37],"28l35":[38],"4q31":[39],"4":[40,55,123],"37":[41,334],"12t-6":[42],"34l-108":[43],"216q-140":[44],"-165":[45],"-177":[46],"-219q-16":[47],"-22":[48],"-10.5":[49],"-30.5t41.5":[50],"-13.5l22":[51],"-3l-7":[52],"-28h-244l8":[53],"28q52":[54],"75":[56,335],"15.5t67":[57],"52.5q48":[58],"46":[59,437],"206":[60],"231&#xA;l-110":[61],"215q-26":[62],"51":[63,142],"-44":[64],"63t-72":[65],"17l6":[66],"28h250l-6":[67],"-28l-27":[68],"-4q-30":[69],"-5":[70],"-35":[71],"-10t3":[72],"-27q17":[73],"-43":[74,105,171,183],"95":[75],"-190q70":[76],"78":[77],"154":[78],"185q15":[79],"21":[80,442],"10":[81,229],"29.5t-33":[82],"12.5l-30":[83],"4l5":[84],"28h236z\"":[85],"/></g>":[86,152,194,276,446],"transform=\"matrix(.012,-0,0,-.012,13.525,5.525)\"><path":[88],"id=\"x1D460\"":[89],"d=\"M352":[90],"391q0":[91],"-31":[92,127,241,273],"-27":[93],"-44q-14":[94],"-7":[95],"-24":[96],"6q-39":[97],"48":[98],"-84":[99],"48q-23":[100],"-39.5":[102],"-15t-16.5":[103],"-40q0":[104],"73":[106],"-90q49":[107],"-32":[108],"70":[109],"-58t21":[110],"-57q0":[111],"-62":[113,357],"-105.5t-129":[114],"-47.5q-40":[115],"-75.5":[117],"25t-35.5":[118],"52q0":[119],"28":[120,208,217,226],"32":[121],"46q7":[122],"15":[124,238],"3t11":[125],"-6q19":[126],"-50.5t54.5":[129],"-19.5q34":[130],"54":[132],"19.5t20":[133],"42.5q0":[134],"43":[135],"-65":[136],"81&#xA;q-97":[137],"56":[138],"-97":[139,436],"123q0":[140],"50":[141],"96q19":[143],"17":[144,312],"58":[145],"32.5t62":[146],"15.5q37":[147],"61":[149,239,262],"-18t24":[150],"-39z\"":[151],"transform=\"matrix(.017,-0,0,-.017,22.387,13.688)\"><path":[154],"id=\"x2B\"":[155],"d=\"M535":[156,391],"230h-212v-233h-58v233h-213v50h213v210h58v-210h212v-50z\"":[157],"/></g><g":[158,342,365,386,394],"transform=\"matrix(.017,-0,0,-.017,36.139,13.688)\"><path":[159],"id=\"x1D434\"":[160],"d=\"M716":[161],"28l-8":[162],"-28h-254l8":[163],"28q55":[164],"5":[165],"66":[166],"17.5t5":[167],"47.5l-30":[168],"145h-232l-74":[169],"-138q-21":[170],"-11":[172,318],"-54.5t72":[173],"-17.5l-6":[174],"-28h-235l8":[175],"28q53":[176],"7":[177],"73.5":[178],"21t53.5":[179],"70l319":[180],"540l33":[181],"8q6":[182],"33":[184,232,248],"-176l80":[185],"-381q10":[186],"-49":[187],"26.5":[188],"-63t72.5":[189],"-19zM495":[190],"281l-49":[191],"264h-2l-149":[192],"-264h200z\"":[193],"transform=\"matrix(.012,-0,0,-.012,48.6,5.525)\"><path":[196],"id=\"x2217\"":[197],"d=\"M471":[198],"153q-22":[199],"-15":[200],"-61":[201,224,305],"-13q-25":[202],"31":[203,235,313,319],"-45.5":[204],"49.5t-56.5":[205],"41.5q4":[206],"-71":[207],"-134q-17":[209],"-33":[210,270],"-42":[211,214],"-46q-24":[212,253],"12":[213],"46q24":[215,250],"63":[216],"134q-36":[218],"-23":[219],"-56.5":[220],"-41.5t-45.5":[221],"-49.5q-36":[222],"-2":[223],"13q0":[225],"19":[227,274,411],"59q65":[228],"130":[230,271],"43q-65":[231],"-130":[233,268,361],"43q-19":[234],"-19":[236,265],"59q22":[237],"13q25":[240],"45.5":[242],"-49.5t56.5":[243],"-41.5&#xA;q-4":[244],"71":[245,326,348],"-28":[246,255,264],"134q17":[247],"42":[249,252],"-12":[251],"-63":[254],"-134q36":[256],"23":[257],"56.5":[258],"41.5t45.5":[259],"49.5q36":[260],"2":[261],"-13q0":[263],"-59q-65":[266],"-10":[267,286],"-43q65":[269],"-43q19":[272],"-59z\"":[275],"transform=\"matrix(.017,-0,0,-.017,56.212,13.688)\"><path":[278],"id=\"x1D453\"":[279],"d=\"M619":[280],"670q0":[281],"-13":[282],"-9":[283],"-26t-18":[284],"-19q-13":[285],"-25":[287],"2q-36":[288],"38":[289],"-66":[290],"38q-31":[291],"-54.5":[293],"-50t-45.5":[294],"-185h120l-20":[295],"-31l-107":[296],"-12q-23":[297],"-138":[298],"-57":[299],"-293q-27":[300],"-122":[301],"-55":[302],"-184.5t-75":[303],"-109.5q-60":[304],"-114":[306],"-61q-25":[307],"-47.5":[309],"15t-22.5":[310],"31q0":[311],"44q11":[314],"8":[315,415],"20":[316],"-1q10":[317],"-19t35":[320],"-8q26":[321],"47":[323],"19&#xA;q34":[324],"34":[325],"253l54":[327],"315h-90l-3":[328],"12l31":[329],"30h70q28":[330],"138":[331],"90":[332],"204q35":[333],"57.5t70":[336],"20.5q26":[337],"45":[339],"-14t19":[340],"-28z\"":[341],"transform=\"matrix(.017,-0,0,-.017,67.126,13.688)\"><path":[343],"id=\"x28\"":[344],"d=\"M300":[345],"-147l-18":[346],"-23q-106":[347],"-159":[349],"185.5t-53":[350],"254.5v1q0":[351],"139":[352],"53":[353],"252.5t159":[354],"186.5l18":[355],"-24q-74":[356],"-115.5":[358],"-173.5t-41.5":[359],"-242.5q0":[360],"41.5":[362],"-242.5t115.5":[363],"-174.5z\"":[364],"transform=\"matrix(.017,-0,0,-.017,73.007,13.688)\"><use":[366],"xlink:href=\"#x1D44B\"/></g><g":[367],"transform=\"matrix(.017,-0,0,-.017,86.47,13.688)\"><path":[368],"id=\"x29\"":[369],"d=\"M275":[370],"270q0":[371],"-296":[372],"-211":[373],"-440l-19":[374],"23q75":[375],"62":[376],"116.5":[377],"174t41.5":[378],"243t-42":[379],"243t-116":[380],"173l19":[381],"24q211":[382],"-144":[383],"211":[384],"-440z\"":[385],"transform=\"matrix(.017,-0,0,-.017,92.352,13.688)\"><use":[387],"xlink:href=\"#x1D434\"/></g><g":[388],"transform=\"matrix(.017,-0,0,-.017,109.521,13.688)\"><path":[389],"id=\"x3D\"":[390],"323h-483v50h483v-50zM535":[392],"138h-483v50h483v-50z\"":[393],"transform=\"matrix(.017,-0,0,-.017,124.224,13.688)\"><path":[395],"id=\"x1D444\"":[396],"d=\"M745":[397],"361q0":[398],"-134":[399],"-83.5":[400],"-233t-214.5":[401],"-130l16":[402],"-11q97":[403],"-67":[404],"250":[405],"-132l-8":[406],"-23q-76":[407],"3":[408],"-131":[409],"16q-81":[410],"-242":[412],"125l-20":[413],"13q-129":[414],"-209":[416],"91t-80":[417],"208q0":[418],"160":[419],"116":[420],"271t289":[421],"111q136":[422],"226.5":[424],"-83t90.5":[425],"-223zM645":[426],"356q0":[427],"127":[428],"-57.5":[429],"201.5t-169.5":[430],"74.5q-126":[431],"-210.5":[433],"-104.5t-84.5":[434],"-248.5&#xA;q0":[435],"-166.5t129":[438],"-87.5l84":[439],"15l29":[440],"-19q104":[441],"169":[443],"121.5t65":[444],"213.5z\"":[445],"</svg>":[447],"are":[448],"discussed.":[449,495],"A":[450],"necessary":[451],"and":[452],"sufficient":[453],"condition":[454],"for":[455,462,491],"existence":[457],"this":[463,485,492],"is":[465,476,494],"derived.":[466],"Then,":[467],"uniqueness":[469],"Hermitian":[472],"solution":[475],"studied":[477],"based":[478],"on":[479],"an":[480],"iterative":[481],"method":[482],"proposed":[483],"in":[484],"paper.":[486],"Lastly":[487],"perturbation":[489],"analysis":[490]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}