{"entities":{"Q114074361":{"pageid":108787079,"ns":0,"title":"Q114074361","lastrevid":2437645272,"modified":"2025-12-03T13:09:44Z","type":"item","id":"Q114074361","labels":{"en":{"language":"en","value":"Reducing the Symmetric Matrix Eigenvalue Problem to Matrix Multiplications"}},"descriptions":{"en":{"language":"en","value":"scientific article published in 1993"},"ast":{"language":"ast","value":"art\u00edculu cient\u00edficu espubliz\u00e1u en 1993"},"uk":{"language":"uk","value":"\u043d\u0430\u0443\u043a\u043e\u0432\u0430 \u0441\u0442\u0430\u0442\u0442\u044f, \u043e\u043f\u0443\u0431\u043b\u0456\u043a\u043e\u0432\u0430\u043d\u0430 \u0432 1993"}},"aliases":{},"claims":{"P1433":[{"mainsnak":{"snaktype":"value","property":"P1433","hash":"a8ddbd2927bb9d4d53c9687ea03109934819f98a","datavalue":{"value":{"entity-type":"item","numeric-id":7390259,"id":"Q7390259"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","id":"Q114074361$2921C4B7-AC65-4334-B999-EA2C70C7E1B3","rank":"normal","references":[{"hash":"fdffcbd434e3cb4196f430a6aa4d5d8b1114f2fb","snaks":{"P248":[{"snaktype":"value","property":"P248","hash":"a185ae64d472c92d128e6bcb1de168a4b46a2019","datavalue":{"value":{"entity-type":"item","numeric-id":5188229,"id":"Q5188229"},"type":"wikibase-entityid"},"datatype":"wikibase-item"}],"P356":[{"snaktype":"value","property":"P356","hash":"6d71acbce609b3374250394c17e84ad032b1b819","datavalue":{"value":"10.1137/0914008","type":"string"},"datatype":"external-id"}],"P854":[{"snaktype":"value","property":"P854","hash":"08e6c4746fe549b24e5351af639a216839ecb4ce","datavalue":{"value":"https://api.crossref.org/v1/works/https://doi.org/10.1137/0914008","type":"string"},"datatype":"url"}],"P813":[{"snaktype":"value","property":"P813","hash":"f2dd3e30c9753cfcdab303a614f11197fe59cd38","datavalue":{"value":{"time":"+2022-09-21T00:00:00Z","timezone":0,"before":0,"after":0,"precision":11,"calendarmodel":"http://www.wikidata.org/entity/Q1985727"},"type":"time"},"datatype":"time"}]},"snaks-order":["P248","P356","P854","P813"]}]}],"P1476":[{"mainsnak":{"snaktype":"value","property":"P1476","hash":"38c9c73e6d3ae21c160dfac1e42092b86c8777ea","datavalue":{"value":{"text":"Reducing the Symmetric Matrix Eigenvalue Problem to Matrix Multiplications","language":"en"},"type":"monolingualtext"},"datatype":"monolingualtext"},"type":"statement","id":"Q114074361$6FEDA669-DDCF-43BD-9318-3E63F60AE254","rank":"normal","references":[{"hash":"fdffcbd434e3cb4196f430a6aa4d5d8b1114f2fb","snaks":{"P248":[{"snaktype":"value","property":"P248","hash":"a185ae64d472c92d128e6bcb1de168a4b46a2019","datavalue":{"value":{"entity-type":"item","numeric-id":5188229,"id":"Q5188229"},"type":"wikibase-entityid"},"datatype":"wikibase-item"}],"P356":[{"snaktype":"value","property":"P356","hash":"6d71acbce609b3374250394c17e84ad032b1b819","datavalue":{"value":"10.1137/0914008","type":"string"},"datatype":"external-id"}],"P854":[{"snaktype":"value","property":"P854","hash":"08e6c4746fe549b24e5351af639a216839ecb4ce","datavalue":{"value":"https://api.crossref.org/v1/works/https://doi.org/10.1137/0914008","type":"string"},"datatype":"url"}],"P813":[{"snaktype":"value","property":"P813","hash":"f2dd3e30c9753cfcdab303a614f11197fe59cd38","datavalue":{"value":{"time":"+2022-09-21T00:00:00Z","timezone":0,"before":0,"after":0,"precision":11,"calendarmodel":"http://www.wikidata.org/entity/Q1985727"},"type":"time"},"datatype":"time"}]},"snaks-order":["P248","P356","P854","P813"]}]}],"P2093":[{"mainsnak":{"snaktype":"value","property":"P2093","hash":"9c8843e2310314bba34a9a476557ccc2a1cb2b1c","datavalue":{"value":"Ya Yan Lu","type":"string"},"datatype":"string"},"type":"statement","qualifiers":{"P1545":[{"snaktype":"value","property":"P1545","hash":"7241753c62a310cf84895620ea82250dcea65835","datavalue":{"value":"2","type":"string"},"datatype":"string"}]},"qualifiers-order":["P1545"],"id":"Q114074361$56C4F1DC-B3B2-4D8D-BCC9-C97338855AAF","rank":"normal","references":[{"hash":"fdffcbd434e3cb4196f430a6aa4d5d8b1114f2fb","snaks":{"P248":[{"snaktype":"value","property":"P248","hash":"a185ae64d472c92d128e6bcb1de168a4b46a2019","datavalue":{"value":{"entity-type":"item","numeric-id":5188229,"id":"Q5188229"},"type":"wikibase-entityid"},"datatype":"wikibase-item"}],"P356":[{"snaktype":"value","property":"P356","hash":"6d71acbce609b3374250394c17e84ad032b1b819","datavalue":{"value":"10.1137/0914008","type":"string"},"datatype":"external-id"}],"P854":[{"snaktype":"value","property":"P854","hash":"08e6c4746fe549b24e5351af639a216839ecb4ce","datavalue":{"value":"https://api.crossref.org/v1/works/https://doi.org/10.1137/0914008","type":"string"},"datatype":"url"}],"P813":[{"snaktype":"value","property":"P813","hash":"f2dd3e30c9753cfcdab303a614f11197fe59cd38","datavalue":{"value":{"time":"+2022-09-21T00:00:00Z","timezone":0,"before":0,"after":0,"precision":11,"calendarmodel":"http://www.wikidata.org/entity/Q1985727"},"type":"time"},"datatype":"time"}]},"snaks-order":["P248","P356","P854","P813"]}]}],"P304":[{"mainsnak":{"snaktype":"value","property":"P304","hash":"5816e80cba06e1d405b8b2792d78cc636470e2f0","datavalue":{"value":"121-136","type":"string"},"datatype":"string"},"type":"statement","id":"Q114074361$27B99559-4E35-40CA-AC20-8DEDEDB951FF","rank":"normal","references":[{"hash":"fdffcbd434e3cb4196f430a6aa4d5d8b1114f2fb","snaks":{"P248":[{"snaktype":"value","property":"P248","hash":"a185ae64d472c92d128e6bcb1de168a4b46a2019","datavalue":{"value":{"entity-type":"item","numeric-id":5188229,"id":"Q5188229"},"type":"wikibase-entityid"},"datatype":"wikibase-item"}],"P356":[{"snaktype":"value","property":"P356","hash":"6d71acbce609b3374250394c17e84ad032b1b819","datavalue":{"value":"10.1137/0914008","type":"string"},"datatype":"external-id"}],"P854":[{"snaktype":"value","property":"P854","hash":"08e6c4746fe549b24e5351af639a216839ecb4ce","datavalue":{"value":"https://api.crossref.org/v1/works/https://doi.org/10.1137/0914008","type":"string"},"datatype":"url"}],"P813":[{"snaktype":"value","property":"P813","hash":"f2dd3e30c9753cfcdab303a614f11197fe59cd38","datavalue":{"value":{"time":"+2022-09-21T00:00:00Z","timezone":0,"before":0,"after":0,"precision":11,"calendarmodel":"http://www.wikidata.org/entity/Q1985727"},"type":"time"},"datatype":"time"}]},"snaks-order":["P248","P356","P854","P813"]}]}],"P31":[{"mainsnak":{"snaktype":"value","property":"P31","hash":"29465f78f13add11b617f0de4ade56cd1122c19c","datavalue":{"value":{"entity-type":"item","numeric-id":13442814,"id":"Q13442814"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","id":"Q114074361$C5313B56-D67B-46B8-9A6B-393CBE9DBA83","rank":"normal","references":[{"hash":"fdffcbd434e3cb4196f430a6aa4d5d8b1114f2fb","snaks":{"P248":[{"snaktype":"value","property":"P248","hash":"a185ae64d472c92d128e6bcb1de168a4b46a2019","datavalue":{"value":{"entity-type":"item","numeric-id":5188229,"id":"Q5188229"},"type":"wikibase-entityid"},"datatype":"wikibase-item"}],"P356":[{"snaktype":"value","property":"P356","hash":"6d71acbce609b3374250394c17e84ad032b1b819","datavalue":{"value":"10.1137/0914008","type":"string"},"datatype":"external-id"}],"P854":[{"snaktype":"value","property":"P854","hash":"08e6c4746fe549b24e5351af639a216839ecb4ce","datavalue":{"value":"https://api.crossref.org/v1/works/https://doi.org/10.1137/0914008","type":"string"},"datatype":"url"}],"P813":[{"snaktype":"value","property":"P813","hash":"f2dd3e30c9753cfcdab303a614f11197fe59cd38","datavalue":{"value":{"time":"+2022-09-21T00:00:00Z","timezone":0,"before":0,"after":0,"precision":11,"calendarmodel":"http://www.wikidata.org/entity/Q1985727"},"type":"time"},"datatype":"time"}]},"snaks-order":["P248","P356","P854","P813"]}]}],"P356":[{"mainsnak":{"snaktype":"value","property":"P356","hash":"6d71acbce609b3374250394c17e84ad032b1b819","datavalue":{"value":"10.1137/0914008","type":"string"},"datatype":"external-id"},"type":"statement","id":"Q114074361$8145EEA0-0423-4E68-AA0D-C65BECA1A148","rank":"normal","references":[{"hash":"fdffcbd434e3cb4196f430a6aa4d5d8b1114f2fb","snaks":{"P248":[{"snaktype":"value","property":"P248","hash":"a185ae64d472c92d128e6bcb1de168a4b46a2019","datavalue":{"value":{"entity-type":"item","numeric-id":5188229,"id":"Q5188229"},"type":"wikibase-entityid"},"datatype":"wikibase-item"}],"P356":[{"snaktype":"value","property":"P356","hash":"6d71acbce609b3374250394c17e84ad032b1b819","datavalue":{"value":"10.1137/0914008","type":"string"},"datatype":"external-id"}],"P854":[{"snaktype":"value","property":"P854","hash":"08e6c4746fe549b24e5351af639a216839ecb4ce","datavalue":{"value":"https://api.crossref.org/v1/works/https://doi.org/10.1137/0914008","type":"string"},"datatype":"url"}],"P813":[{"snaktype":"value","property":"P813","hash":"f2dd3e30c9753cfcdab303a614f11197fe59cd38","datavalue":{"value":{"time":"+2022-09-21T00:00:00Z","timezone":0,"before":0,"after":0,"precision":11,"calendarmodel":"http://www.wikidata.org/entity/Q1985727"},"type":"time"},"datatype":"time"}]},"snaks-order":["P248","P356","P854","P813"]}]}],"P433":[{"mainsnak":{"snaktype":"value","property":"P433","hash":"962ed10012ef254020e2a8c8a6c8ba7647d35a12","datavalue":{"value":"1","type":"string"},"datatype":"string"},"type":"statement","id":"Q114074361$22603EBB-BF1B-4F1E-BD3A-0C8C80E25DF0","rank":"normal","references":[{"hash":"fdffcbd434e3cb4196f430a6aa4d5d8b1114f2fb","snaks":{"P248":[{"snaktype":"value","property":"P248","hash":"a185ae64d472c92d128e6bcb1de168a4b46a2019","datavalue":{"value":{"entity-type":"item","numeric-id":5188229,"id":"Q5188229"},"type":"wikibase-entityid"},"datatype":"wikibase-item"}],"P356":[{"snaktype":"value","property":"P356","hash":"6d71acbce609b3374250394c17e84ad032b1b819","datavalue":{"value":"10.1137/0914008","type":"string"},"datatype":"external-id"}],"P854":[{"snaktype":"value","property":"P854","hash":"08e6c4746fe549b24e5351af639a216839ecb4ce","datavalue":{"value":"https://api.crossref.org/v1/works/https://doi.org/10.1137/0914008","type":"string"},"datatype":"url"}],"P813":[{"snaktype":"value","property":"P813","hash":"f2dd3e30c9753cfcdab303a614f11197fe59cd38","datavalue":{"value":{"time":"+2022-09-21T00:00:00Z","timezone":0,"before":0,"after":0,"precision":11,"calendarmodel":"http://www.wikidata.org/entity/Q1985727"},"type":"time"},"datatype":"time"}]},"snaks-order":["P248","P356","P854","P813"]}]}],"P478":[{"mainsnak":{"snaktype":"value","property":"P478","hash":"0bdefc24093be37e93b797269a255d93d0572d0a","datavalue":{"value":"14","type":"string"},"datatype":"string"},"type":"statement","id":"Q114074361$071804B6-149B-4A72-842C-C2BE00C6E650","rank":"normal","references":[{"hash":"fdffcbd434e3cb4196f430a6aa4d5d8b1114f2fb","snaks":{"P248":[{"snaktype":"value","property":"P248","hash":"a185ae64d472c92d128e6bcb1de168a4b46a2019","datavalue":{"value":{"entity-type":"item","numeric-id":5188229,"id":"Q5188229"},"type":"wikibase-entityid"},"datatype":"wikibase-item"}],"P356":[{"snaktype":"value","property":"P356","hash":"6d71acbce609b3374250394c17e84ad032b1b819","datavalue":{"value":"10.1137/0914008","type":"string"},"datatype":"external-id"}],"P854":[{"snaktype":"value","property":"P854","hash":"08e6c4746fe549b24e5351af639a216839ecb4ce","datavalue":{"value":"https://api.crossref.org/v1/works/https://doi.org/10.1137/0914008","type":"string"},"datatype":"url"}],"P813":[{"snaktype":"value","property":"P813","hash":"f2dd3e30c9753cfcdab303a614f11197fe59cd38","datavalue":{"value":{"time":"+2022-09-21T00:00:00Z","timezone":0,"before":0,"after":0,"precision":11,"calendarmodel":"http://www.wikidata.org/entity/Q1985727"},"type":"time"},"datatype":"time"}]},"snaks-order":["P248","P356","P854","P813"]}]}],"P577":[{"mainsnak":{"snaktype":"value","property":"P577","hash":"701362bb5c30ef34cd8afc1f5eea7452ba2fcd66","datavalue":{"value":{"time":"+1993-01-15T00:00:00Z","timezone":0,"before":0,"after":0,"precision":10,"calendarmodel":"http://www.wikidata.org/entity/Q1985727"},"type":"time"},"datatype":"time"},"type":"statement","id":"Q114074361$693AEBE2-5A0D-4F73-A083-265EC7CD5676","rank":"normal","references":[{"hash":"fdffcbd434e3cb4196f430a6aa4d5d8b1114f2fb","snaks":{"P248":[{"snaktype":"value","property":"P248","hash":"a185ae64d472c92d128e6bcb1de168a4b46a2019","datavalue":{"value":{"entity-type":"item","numeric-id":5188229,"id":"Q5188229"},"type":"wikibase-entityid"},"datatype":"wikibase-item"}],"P356":[{"snaktype":"value","property":"P356","hash":"6d71acbce609b3374250394c17e84ad032b1b819","datavalue":{"value":"10.1137/0914008","type":"string"},"datatype":"external-id"}],"P854":[{"snaktype":"value","property":"P854","hash":"08e6c4746fe549b24e5351af639a216839ecb4ce","datavalue":{"value":"https://api.crossref.org/v1/works/https://doi.org/10.1137/0914008","type":"string"},"datatype":"url"}],"P813":[{"snaktype":"value","property":"P813","hash":"f2dd3e30c9753cfcdab303a614f11197fe59cd38","datavalue":{"value":{"time":"+2022-09-21T00:00:00Z","timezone":0,"before":0,"after":0,"precision":11,"calendarmodel":"http://www.wikidata.org/entity/Q1985727"},"type":"time"},"datatype":"time"}]},"snaks-order":["P248","P356","P854","P813"]}]}],"P894":[{"mainsnak":{"snaktype":"value","property":"P894","hash":"06ff907d3b0f03042a79c2e551935c637f6b8c19","datavalue":{"value":"0771.65019","type":"string"},"datatype":"external-id"},"type":"statement","id":"Q114074361$463F18A0-F30D-4F09-B5EF-469EDBC345A9","rank":"normal"}],"P6104":[{"mainsnak":{"snaktype":"value","property":"P6104","hash":"a27c5fdb35b42381f12b2a603711e56d98dd77fd","datavalue":{"value":{"entity-type":"item","numeric-id":8487137,"id":"Q8487137"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","id":"Q114074361$90EBE215-FF90-4B46-B834-D4827DD40A0F","rank":"normal"}],"P50":[{"mainsnak":{"snaktype":"value","property":"P50","hash":"1cd98a98d3a97ec8ee077ccdaf49574b2c0aa747","datavalue":{"value":{"entity-type":"item","numeric-id":334760,"id":"Q334760"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1545":[{"snaktype":"value","property":"P1545","hash":"2a1ced1dca90648ea7e306acbadd74fc81a10722","datavalue":{"value":"1","type":"string"},"datatype":"string"}],"P1932":[{"snaktype":"value","property":"P1932","hash":"3738779cd0994f3e3d2f32758b60063f42b5b78e","datavalue":{"value":"Shing-Tung Yau","type":"string"},"datatype":"string"}]},"qualifiers-order":["P1545","P1932"],"id":"Q114074361$0FABE2AF-8CE9-4418-99A8-7F8686C6E2FF","rank":"normal","references":[{"hash":"fdffcbd434e3cb4196f430a6aa4d5d8b1114f2fb","snaks":{"P248":[{"snaktype":"value","property":"P248","hash":"a185ae64d472c92d128e6bcb1de168a4b46a2019","datavalue":{"value":{"entity-type":"item","numeric-id":5188229,"id":"Q5188229"},"type":"wikibase-entityid"},"datatype":"wikibase-item"}],"P356":[{"snaktype":"value","property":"P356","hash":"6d71acbce609b3374250394c17e84ad032b1b819","datavalue":{"value":"10.1137/0914008","type":"string"},"datatype":"external-id"}],"P854":[{"snaktype":"value","property":"P854","hash":"08e6c4746fe549b24e5351af639a216839ecb4ce","datavalue":{"value":"https://api.crossref.org/v1/works/https://doi.org/10.1137/0914008","type":"string"},"datatype":"url"}],"P813":[{"snaktype":"value","property":"P813","hash":"f2dd3e30c9753cfcdab303a614f11197fe59cd38","datavalue":{"value":{"time":"+2022-09-21T00:00:00Z","timezone":0,"before":0,"after":0,"precision":11,"calendarmodel":"http://www.wikidata.org/entity/Q1985727"},"type":"time"},"datatype":"time"}]},"snaks-order":["P248","P356","P854","P813"]}]}],"P407":[{"mainsnak":{"snaktype":"value","property":"P407","hash":"daf1c4fcb58181b02dff9cc89deb084004ddae4b","datavalue":{"value":{"entity-type":"item","numeric-id":1860,"id":"Q1860"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","id":"Q114074361$65D613ED-E231-4FD4-8B6B-7FA9C5129BD6","rank":"normal"}]},"sitelinks":{}}}}