메뉴 건너뛰기




Volumn 394, Issue 1-3, 2005, Pages 39-51

Perturbation analysis of the Hermitian positive definite solution of the matrix equation X - A* X-2 A = I

Author keywords

Condition number; Nonlinear matrix equation; Perturbation bound

Indexed keywords

LARGE SCALE SYSTEMS; NONLINEAR EQUATIONS; NUMBER THEORY; PERTURBATION TECHNIQUES; SENSITIVITY ANALYSIS; THEORY;

EID: 7544221399     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2004.05.013     Document Type: Article
Times cited : (17)

References (10)
  • 2
    • 0036018627 scopus 로고    scopus 로고
    • On an iteration method for solving a class of nonlinear matrix equations
    • S.M. El-Sayed, 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.
    • (2001) SIAM J. Matrix Anal. Appl. , vol.23 , pp. 632-645
    • El-Sayed, S.M.1    Ran, A.C.M.2
  • 7
    • 31244433176 scopus 로고    scopus 로고
    • On the nonlinear matrix equation X + A*F(X)A = Q: Solutions and perturbation theory
    • A.C.M. Ran, M.C.B. Reurings, On the nonlinear matrix equation X + A*F(X)A = Q: solutions and perturbation theory, Linear Algebra Appl. 346 (2002) 15-26.
    • (2002) Linear Algebra Appl. , vol.346 , pp. 15-26
    • Ran, A.C.M.1    Reurings, M.C.B.2
  • 8
    • 7544249415 scopus 로고    scopus 로고
    • Ph.D. Thesis, Vrije Universiteit, Amsterdam (ISBN 90-9016681-5)
    • M.C.B. Reurings, Symmetric Matrix Equations, Ph.D. Thesis, Vrije Universiteit, Amsterdam, 2003 (ISBN 90-9016681-5).
    • (2003) Symmetric Matrix Equations
    • Reurings, M.C.B.1
  • 9
    • 0000303960 scopus 로고
    • A theory of condition
    • J.R. Rice, A theory of condition, J. SIAM Numer. Anal. 3 (1966) 287-310.
    • (1966) J. SIAM Numer. Anal. , vol.3 , pp. 287-310
    • Rice, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.