{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T08:37:58Z","timestamp":1762504678979},"reference-count":18,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[2002,2,1]],"date-time":"2002-02-01T00:00:00Z","timestamp":1012521600000},"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":["Parallel Computing"],"published-print":{"date-parts":[[2002,2]]},"DOI":"10.1016\/s0167-8191(01)00142-9","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T12:38:00Z","timestamp":1027600680000},"page":"323-341","source":"Crossref","is-referenced-by-count":11,"title":["Generalized least-squares polynomial preconditioners for symmetric indefinite linear equations"],"prefix":"10.1016","volume":"28","author":[{"given":"Y.","family":"Liang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Weston","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Szularz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0167-8191(01)00142-9_BIB1","unstructured":"S.F. Ashby, Polynomial preconditioning for conjugate gradient methods, Ph.D. thesis, Department of Computer Science, University of Illinois at Urbana-Champaign, IL, 1987"},{"key":"10.1016\/S0167-8191(01)00142-9_BIB2","doi-asserted-by":"crossref","unstructured":"S. Barnard, M.J. Grote, SPAI version 3.0 (last updated May 2, 1999). Available from URL: http:\/\/www.sam.math.ethz.ch\/grote\/spai\/","DOI":"10.1177\/109434209901300202"},{"key":"10.1016\/S0167-8191(01)00142-9_BIB3","unstructured":"S.T. Barnard, M.J. Grote, A block version of the SPAI preconditioner, in: Proceedings of the 9th SIAM Conference on Parallel Processing for Scientific Computing, 1999"},{"key":"10.1016\/S0167-8191(01)00142-9_BIB4","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1007\/BF01396012","article-title":"Rank-one modification of the symmetric eigenproblem","volume":"31","author":"Bunch","year":"1978","journal-title":"Numer. Math."},{"key":"10.1016\/S0167-8191(01)00142-9_BIB5","series-title":"Introduction to Approximation Theory","author":"Cheney","year":"1966"},{"key":"10.1016\/S0167-8191(01)00142-9_BIB6","doi-asserted-by":"crossref","first-page":"711","DOI":"10.1090\/S0025-5718-1991-1068818-5","article-title":"On generating polynomials which are orthogonal over several interval","volume":"56","author":"Fischer","year":"1991","journal-title":"Math. Comp."},{"key":"10.1016\/S0167-8191(01)00142-9_BIB7","series-title":"Polynomial Based Iteration Methods for Symmetric Linear Systems","author":"Fischer","year":"1996"},{"issue":"3","key":"10.1016\/S0167-8191(01)00142-9_BIB8","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1137\/0903018","article-title":"On generating orthogonal polynomials","volume":"3","author":"Gautschi","year":"1982","journal-title":"SIAM J. Sci. Statist. Comput."},{"issue":"3","key":"10.1016\/S0167-8191(01)00142-9_BIB9","doi-asserted-by":"crossref","first-page":"838","DOI":"10.1137\/S1064827594276552","article-title":"Parallel preconditioning with sparse approximate inverses","volume":"18","author":"Grote","year":"1997","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1016\/S0167-8191(01)00142-9_BIB10","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1007\/s002110050032","article-title":"On the orthogonality of residual polynomials of minimax polynomial preconditioning","volume":"67","author":"Jiang","year":"1994","journal-title":"Numer. Math."},{"key":"10.1016\/S0167-8191(01)00142-9_BIB11","doi-asserted-by":"crossref","unstructured":"Y. Liang, J. Weston, M. Szularz, Polynomial preconditioning for specially structured linear systems of equations, in: Proceedings of EuroPar 2001, to appear","DOI":"10.1007\/3-540-44681-8_84"},{"key":"10.1016\/S0167-8191(01)00142-9_BIB12","series-title":"Proceedings of ALGORITMY 2000, 15th Conference on Scientific Computing","first-page":"264","article-title":"Stability of polynomial preconditioning","author":"Liang","year":"2000"},{"key":"10.1016\/S0167-8191(01)00142-9_BIB13","unstructured":"Harwell-Boeing Sparse Matrices Collection (last updated February 15, 2000). Available from URL: http:\/\/math.nist.gov\/MatrixMarket"},{"key":"10.1016\/S0167-8191(01)00142-9_BIB14","series-title":"Survey of Applicable Mathematics","author":"Rektorys","year":"1969"},{"key":"10.1016\/S0167-8191(01)00142-9_BIB15","series-title":"Orthogonal Polynomials","author":"Szego","year":"1978"},{"key":"10.1016\/S0167-8191(01)00142-9_BIB16","series-title":"Theoretical Numerical Analysis","author":"Wendroff","year":"1967"},{"key":"10.1016\/S0167-8191(01)00142-9_BIB17","series-title":"Iterative Methods for Sparse Linear Systems","author":"Saad","year":"1996"},{"key":"10.1016\/S0167-8191(01)00142-9_BIB18","doi-asserted-by":"crossref","first-page":"784","DOI":"10.1137\/0720052","article-title":"Iterative solution of indefinite symmetric linear systems by methods using orthogonal polynomials over two disjoint intervals","volume":"20","author":"Saad","year":"1983","journal-title":"SIAM J. Numer. Anal."}],"container-title":["Parallel Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167819101001429?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167819101001429?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,30]],"date-time":"2019-04-30T11:23:38Z","timestamp":1556623418000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167819101001429"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,2]]},"references-count":18,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2002,2]]}},"alternative-id":["S0167819101001429"],"URL":"https:\/\/doi.org\/10.1016\/s0167-8191(01)00142-9","relation":{},"ISSN":["0167-8191"],"issn-type":[{"value":"0167-8191","type":"print"}],"subject":[],"published":{"date-parts":[[2002,2]]}}}