{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,10,14]],"date-time":"2022-10-14T13:11:16Z","timestamp":1665753076884},"reference-count":18,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[2004,6,1]],"date-time":"2004-06-01T00:00:00Z","timestamp":1086048000000},"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":[[2004,6]]},"DOI":"10.1016\/s0096-3003(03)00633-7","type":"journal-article","created":{"date-parts":[[2003,7,16]],"date-time":"2003-07-16T13:31:26Z","timestamp":1058362286000},"page":"317-335","source":"Crossref","is-referenced-by-count":3,"title":["Displacement structure of weighted pseudoinverses"],"prefix":"10.1016","volume":"153","author":[{"given":"Jianfeng","family":"Cai","sequence":"first","affiliation":[]},{"given":"Yimin","family":"Wei","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0096-3003(03)00633-7_BIB1","series-title":"Generalized Inverses: Theory and Applications","author":"Ben-Israel","year":"1974"},{"key":"10.1016\/S0096-3003(03)00633-7_BIB2","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1016\/0024-3795(94)90506-1","article-title":"Displacement structure of pseudoinverses","volume":"197\/198","author":"Heinig","year":"1994","journal-title":"Linear Algeb. Appl."},{"key":"10.1016\/S0096-3003(03)00633-7_BIB3","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/0024-3795(94)90083-3","article-title":"Displacement structure of generalized inverse matrices","volume":"211","author":"Heinig","year":"1994","journal-title":"Linear Algeb. Appl."},{"key":"10.1016\/S0096-3003(03)00633-7_BIB4","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/S0024-3795(02)00262-8","article-title":"Perturbation bound for constrained and weighted least squares problem","volume":"349","author":"Gulliksson","year":"2002","journal-title":"Linear Algeb. Appl."},{"key":"10.1016\/S0096-3003(03)00633-7_BIB5","doi-asserted-by":"crossref","first-page":"513","DOI":"10.1023\/A:1022319830134","article-title":"Perturbation identities for regularized Tikhonov inverses and weighted pseudoinverse","volume":"40","author":"Gulliksson","year":"2000","journal-title":"BIT"},{"key":"10.1016\/S0096-3003(03)00633-7_BIB6","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1016\/0022-247X(79)90124-0","article-title":"Displacement rank of matrices and linear equations","volume":"68","author":"Kailath","year":"1979","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/S0096-3003(03)00633-7_BIB7","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1137\/1037082","article-title":"Displacement structure: theory and applications","volume":"37","author":"Kailath","year":"1995","journal-title":"SIAM Rev."},{"key":"10.1016\/S0096-3003(03)00633-7_BIB8","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1080\/03081087408817070","article-title":"Equalities and inequalities for ranks of matrices","volume":"2","author":"Marsaglia","year":"1974","journal-title":"Linear Multilinear Algeb."},{"key":"10.1016\/S0096-3003(03)00633-7_BIB9","doi-asserted-by":"crossref","first-page":"1109","DOI":"10.1137\/0912058","article-title":"An improved Newton iteration for the generalized inverse of a matrix with applications","volume":"12","author":"Pan","year":"1991","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"10.1016\/S0096-3003(03)00633-7_BIB10","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(03)00633-7_BIB11","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(03)00633-7_BIB12","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1016\/S0096-3003(99)00147-2","article-title":"Recurrent neural networks for computing weighted Moore\u2013Penrose inverse","volume":"116","author":"Wei","year":"2000","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/S0096-3003(03)00633-7_BIB13","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1016\/S0096-3003(99)00151-4","article-title":"Successive matrix squaring algorithm for parallel computing the weighted generalized inverse A+MN","volume":"116","author":"Wei","year":"2000","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/S0096-3003(03)00633-7_BIB14","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(03)00633-7_BIB15","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1016\/S0096-3003(01)00256-9","article-title":"PCR algorithm for parallel computing minimum-norm(T) least-squares(S) solution of inconsistent linear linear equations","volume":"133","author":"Wei","year":"2002","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/S0096-3003(03)00633-7_BIB16","doi-asserted-by":"crossref","unstructured":"Y. Wei, D. Wang, Condition numbers and perturbation of the weighted Moore\u2013Penrose inverse and weighted linear least squares problems, Appl. Math. Comput. (to appear)","DOI":"10.1016\/S0096-3003(02)00437-X"},{"key":"10.1016\/S0096-3003(03)00633-7_BIB17","doi-asserted-by":"crossref","unstructured":"Y. Wei, M. Ng, Weighted Tikhonov filter matrices for ill-posed problems, Appl. Math. Comput. (to appear)","DOI":"10.1016\/S0096-3003(03)00149-8"},{"key":"10.1016\/S0096-3003(03)00633-7_BIB18","doi-asserted-by":"crossref","unstructured":"Y. Wei, M. Ng, Displacement structure of group inverses, Numer. Linear Algebra Appl. (to appear)","DOI":"10.1002\/nla.405"}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300303006337?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300303006337?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,17]],"date-time":"2019-03-17T13:55:26Z","timestamp":1552830926000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300303006337"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,6]]},"references-count":18,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2004,6]]}},"alternative-id":["S0096300303006337"],"URL":"https:\/\/doi.org\/10.1016\/s0096-3003(03)00633-7","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2004,6]]}}}