{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T09:45:33Z","timestamp":1776764733152,"version":"3.51.2"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[1993,7,1]],"date-time":"1993-07-01T00:00:00Z","timestamp":741484800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[1993,7]]},"DOI":"10.1007\/bf02109196","type":"journal-article","created":{"date-parts":[[2005,9,13]],"date-time":"2005-09-13T20:03:50Z","timestamp":1126641830000},"page":"353-364","source":"Crossref","is-referenced-by-count":10,"title":["Constrained minimax approximation and optimal preconditioned for Toeplitz matrices"],"prefix":"10.1007","volume":"5","author":[{"given":"Raymond H.","family":"Chan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ping Tak Peter","family":"Tang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02109196_CR1","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1137\/0609005","volume":"9","author":"G. Ammar","year":"1988","unstructured":"G. Ammar and W. Gragg, Superfast solution of real positive definite Toeplitz systems, SIAM J. Matrix Appl. 9 (1988) 61\u201376.","journal-title":"SIAM J. Matrix Appl."},{"key":"BF02109196_CR2","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1137\/0906025","volume":"6","author":"J. Bunch","year":"1985","unstructured":"J. Bunch, Stability of methods for solving Toeplitz systems of equations, SIAM J. Sci. Statist. Comp. 6 (1985) 349\u2013364.","journal-title":"SIAM J. Sci. Statist. Comp."},{"key":"BF02109196_CR3","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1090\/S0025-5718-1992-1106960-1","volume":"58","author":"R. Chan","year":"1992","unstructured":"R. Chan and M. Yeung, Circulant preconditioners for Toeplitz matrices with positive continuous generating functions, Math. Comp. 58 (1992) 233\u2013240.","journal-title":"Math. Comp."},{"key":"BF02109196_CR4","unstructured":"R. Chan and K. Ng, Fast iterative solvers for Toeplitz-plus-band systems, SIAM J. Sci. Statist. Comp., to appear. Also as Research Report, Dept. of Math. HKU, #91-11."},{"key":"BF02109196_CR5","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1137\/0910009","volume":"10","author":"R. Chan","year":"1989","unstructured":"R. Chan and G. Strang, Toeplitz equations by conjugate gradients with circulant preconditioner, SIAM J. Sci. Statist. Comp. 10 (1989) 104\u2013119.","journal-title":"SIAM J. Sci. Statist. Comp."},{"key":"BF02109196_CR6","doi-asserted-by":"crossref","first-page":"766","DOI":"10.1137\/0909051","volume":"9","author":"T. Chan","year":"1988","unstructured":"T. Chan, An optimal circulant preconditioner for Toeplitz systems, SIAM J. Sci. Statist. Comp. 9 (1988) 766\u2013771.","journal-title":"SIAM J. Sci. Statist. Comp."},{"key":"BF02109196_CR7","volume-title":"Introduction to Minimax","author":"V.F. Demjanov","year":"1974","unstructured":"V.F. Demjanov and V.N. Malozemov,Introduction to Minimax (Wiley, New York, 1974)."},{"key":"BF02109196_CR8","volume-title":"vol. 41, Transaction of Mathematical Monographs","author":"I. Gohberg","year":"1974","unstructured":"I. Gohberg and I. Fel'dman,Convolution Equations and Projection Methods for Their Solutions, vol. 41, Transaction of Mathematical Monographs (American Mathematical Society, Rhode Island, 1974)."},{"key":"BF02109196_CR9","volume-title":"Matrix Computations","author":"G. Golub","year":"1989","unstructured":"G. Golub and C. Van Loan,Matrix Computations, 2nd ed. (The Johns Hopkins University Press, Maryland, 1989).","edition":"2nd ed."},{"key":"BF02109196_CR10","volume-title":"Toeplitz Form and Its Applications","author":"U. Grenander","year":"1984","unstructured":"U. Grenander and G. Szeg\u00f6,Toeplitz Form and Its Applications, 2nd ed. (Chelsea, New York, 1984).","edition":"2nd ed."},{"key":"BF02109196_CR11","first-page":"377","volume":"12","author":"P. Laurent","year":"1978","unstructured":"P. Laurent and C. Carasso, An algorithm of successive minimization in convex programming, R.A.I.R.O. Anal. Numer. 12 (1978) 377\u2013400.","journal-title":"R.A.I.R.O. Anal. Numer."},{"key":"BF02109196_CR12","volume-title":"Applications of Digital Signal Processing","author":"A. Oppenheim","year":"1978","unstructured":"A. Oppenheim,Applications of Digital Signal Processing (Prentice-Hall, Englewood Cliffs, NJ, 1978)."},{"key":"BF02109196_CR13","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1002\/sapm1986742171","volume":"74","author":"G. Strang","year":"1986","unstructured":"G. Strang, A proposal for Toeplitz matrix calculations, Stud. Appl. Math. 74 (1986) 171\u2013176.","journal-title":"Stud. Appl. Math."},{"key":"BF02109196_CR14","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1090\/S0025-5718-1988-0935074-5","volume":"51","author":"P.T.P. Tang","year":"1988","unstructured":"P.T.P. Tang, A fast algorithm for linear complex Chebyshev approximation, Math. Comp. 51 (1988) 721\u2013739.","journal-title":"Math. Comp."},{"key":"BF02109196_CR15","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1137\/0112045","volume":"12","author":"W. Trench","year":"1964","unstructured":"W. Trench, An algorithm for the inversion of finite Toeplitz matrices, SIAM J. Appl. Math. 12 (1964) 515\u2013522.","journal-title":"SIAM J. Appl. Math."},{"key":"BF02109196_CR16","doi-asserted-by":"crossref","first-page":"824","DOI":"10.1137\/0912044","volume":"12","author":"S.J. Wright","year":"1991","unstructured":"S.J. Wright, Parallel algorithms for banded linear systems, SIAM J. Sci. Stat. Comp. 12 (1991) 824\u2013842.","journal-title":"SIAM J. Sci. Stat. Comp."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02109196.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02109196\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02109196","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,14]],"date-time":"2019-05-14T15:15:28Z","timestamp":1557846928000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02109196"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,7]]},"references-count":16,"journal-issue":{"issue":"7","published-print":{"date-parts":[[1993,7]]}},"alternative-id":["BF02109196"],"URL":"https:\/\/doi.org\/10.1007\/bf02109196","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,7]]}}}