{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T20:04:53Z","timestamp":1773777893847,"version":"3.50.1"},"reference-count":12,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2003,12,1]],"date-time":"2003-12-01T00:00:00Z","timestamp":1070236800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[2003,12]]},"DOI":"10.1016\/s0096-3003(02)00437-x","type":"journal-article","created":{"date-parts":[[2003,7,22]],"date-time":"2003-07-22T15:56:51Z","timestamp":1058889411000},"page":"45-58","source":"Crossref","is-referenced-by-count":22,"title":["Condition numbers and perturbation of the weighted Moore\u2013Penrose inverse and weighted linear least squares problem"],"prefix":"10.1016","volume":"145","author":[{"given":"Yimin","family":"Wei","sequence":"first","affiliation":[]},{"given":"Dingkun","family":"Wang","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0096-3003(02)00437-X_BIB1","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1007\/BF02241714","article-title":"On the solution of the linear least squares problems and pseudo-inverses","volume":"13","author":"Abdelmalek","year":"1974","journal-title":"Computing"},{"key":"10.1016\/S0096-3003(02)00437-X_BIB2","series-title":"Generalized Inverse: Theory and Applications","author":"Ben-Israel","year":"1974"},{"key":"10.1016\/S0096-3003(02)00437-X_BIB3","first-page":"1","article-title":"Minimum property of weighted condition number in matrix perturbation problems","volume":"1","author":"Chen","year":"1992","journal-title":"J. East China Normal Univ."},{"key":"10.1016\/S0096-3003(02)00437-X_BIB4","doi-asserted-by":"crossref","first-page":"513","DOI":"10.1023\/A:1022319830134","article-title":"Perturbation identities for regularized Tikhnov inverse and weighted pseudoinverse","volume":"40","author":"Gulliksson","year":"2000","journal-title":"BIT"},{"key":"10.1016\/S0096-3003(02)00437-X_BIB5","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1016\/0024-3795(93)00066-9","article-title":"Condition numbers and their condition numbers","volume":"214","author":"Higham","year":"1995","journal-title":"Linear Algebra Appl."},{"key":"10.1016\/S0096-3003(02)00437-X_BIB6","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1137\/0713009","article-title":"Generalizing the singular value decomposition","volume":"13","author":"Van Loan","year":"1976","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/S0096-3003(02)00437-X_BIB7","first-page":"48","article-title":"Perturbation theory for weighted Moore\u2013Penrose inverse","volume":"1","author":"Wang","year":"1987","journal-title":"Comm. Appl. Math. Comput. Math."},{"key":"10.1016\/S0096-3003(02)00437-X_BIB8","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/S0096-3003(99)00120-4","article-title":"Perturbation bound of singular linear systems","volume":"105","author":"Wei","year":"1999","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/S0096-3003(02)00437-X_BIB9","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/S0898-1221(00)00041-9","article-title":"Expression for the perturbation of the weighted Moore\u2013Penrose inverse","volume":"39","author":"Wei","year":"2000","journal-title":"Comput. Math. Appl."},{"key":"10.1016\/S0096-3003(02)00437-X_BIB10","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/S0096-3003(99)00275-1","article-title":"The representation and approximation for the weighted Moore\u2013Penrose inverse","volume":"121","author":"Wei","year":"2001","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/S0096-3003(02)00437-X_BIB11","doi-asserted-by":"crossref","first-page":"599","DOI":"10.1016\/S0893-9659(00)00200-7","article-title":"Representations for Moore\u2013Penrose inverse in Hilbert spaces","volume":"14","author":"Wei","year":"2001","journal-title":"Appl. Math. Lett."},{"key":"10.1016\/S0096-3003(02)00437-X_BIB12","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1016\/S0096-3003(01)00256-9","article-title":"PCR algorithm for parallel computing the minimum T-norm S-least squares solution of inconsistent linear equations","volume":"133","author":"Wei","year":"2002","journal-title":"Appl. Math. Comput."}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S009630030200437X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S009630030200437X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,17]],"date-time":"2019-03-17T07:26:00Z","timestamp":1552807560000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S009630030200437X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,12]]},"references-count":12,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2003,12]]}},"alternative-id":["S009630030200437X"],"URL":"https:\/\/doi.org\/10.1016\/s0096-3003(02)00437-x","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2003,12]]}}}