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Volumn 74, Issue 249, 2005, Pages 263-278

Improved methods and starting values to solve the matrix equations X ± A*X -1A = I iteratively

Author keywords

Iterative method; Matrix equation; Newton's method; Positive definite solution

Indexed keywords


EID: 11244262830     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-04-01636-9     Document Type: Article
Times cited : (80)

References (15)
  • 2
    • 0000161555 scopus 로고
    • On direct methods for solving poisson's equations
    • MR 44:4920
    • B. L. Buzbee, G. H. Golub and C. W. Nielson, On Direct Methods for Solving Poisson's Equations, SIAM J. Numer. Anal., 7 (1970), 627-656. MR 44:4920
    • (1970) SIAM J. Numer. Anal. , vol.7 , pp. 627-656
    • Buzbee, B.L.1    Golub, G.H.2    Nielson, C.W.3
  • 4
    • 0036018627 scopus 로고    scopus 로고
    • On an iteration method for solving a class of nonlinear matrix equations
    • MR 2002m:15023
    • S. M. El-Sayed and A. C. M. Ran, On an Iteration Method for Solving a Class of Nonlinear Matrix Equations, SIAM J. Matrix Anal. Appl., 23 (2001), 632-645. MR 2002m:15023
    • (2001) SIAM J. Matrix Anal. Appl. , vol.23 , pp. 632-645
    • El-Sayed, S.M.1    Ran, A.C.M.2
  • 9
    • 0033443128 scopus 로고    scopus 로고
    • Iterative solution of two Matrix equations
    • MR 99m:65061
    • C.-H. Guo and P. Lancaster, Iterative Solution of Two Matrix Equations, Math. Comp., 68 (1999), 1589-1603. MR 99m:65061
    • (1999) Math. Comp. , vol.68 , pp. 1589-1603
    • Guo, C.-H.1    Lancaster, P.2
  • 13
    • 0041320197 scopus 로고
    • n → 0
    • MR 28:5069
    • n → 0, J. Algebra, 1 (1965), 5-10. MR 28:5069
    • (1965) J. Algebra , vol.1 , pp. 5-10
    • Taussky, O.1
  • 15
    • 0000593006 scopus 로고    scopus 로고
    • Computing the extremal positive definite solutions of a Matrix equation
    • MR 97g:65074
    • X. Zhan, Computing the Extremal Positive Definite Solutions of a Matrix Equation, SIAM J. Sci. Computing, 17 (1996), 1167-1174. MR 97g:65074
    • (1996) SIAM J. Sci. Computing , vol.17 , pp. 1167-1174
    • Zhan, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.