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Volumn 216, Issue 1, 2010, Pages 27-34

On positive definite solutions of nonlinear matrix equation Xs - A* X- t A = Q

Author keywords

15A24; 65F15; 65F35; Fixed point theorem; Iteration; Nonlinear matrix equation; Perturbation estimates; Positive definite solution

Indexed keywords

FIXED POINT THEOREMS; FIXED POINT THEORY; MATRIX; NONLINEAR MATRIX EQUATION; NUMERICAL EXAMPLE; PERTURBATION ESTIMATES; POSITIVE DEFINITE SOLUTION;

EID: 76749091380     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.12.050     Document Type: Article
Times cited : (5)

References (23)
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    • Ando, T.1
  • 3
    • 0001438007 scopus 로고
    • Functional calculus for sequilinear forms and the purification map
    • Pusz W., and Woronowitz S.L. Functional calculus for sequilinear forms and the purification map. Rep.Math.Phys. 8 (1975) 159-170
    • (1975) Rep.Math.Phys. , vol.8 , pp. 159-170
    • Pusz, W.1    Woronowitz, S.L.2
  • 5
    • 0021862894 scopus 로고
    • Stabilization of linear systems over a commutative normed algebra with applications to spatially distributed parameter dependent systems
    • Green W.L., and Kamen E. Stabilization of linear systems over a commutative normed algebra with applications to spatially distributed parameter dependent systems. SIAM J.Control Optim. 23 (1985) 1-18
    • (1985) SIAM J.Control Optim. , vol.23 , pp. 1-18
    • Green, W.L.1    Kamen, E.2
  • 6
    • 0000161555 scopus 로고
    • On direct methods for solving Poisson's equations
    • Buzbee B.L., Golub G.H., and Nielson C.W. On direct methods for solving Poisson's equations. SIAM J.Numer.Anal. 7 (1970) 627-656
    • (1970) SIAM J.Numer.Anal. , vol.7 , pp. 627-656
    • Buzbee, B.L.1    Golub, G.H.2    Nielson, C.W.3
  • 21
    • 33748202971 scopus 로고    scopus 로고
    • Contractive maps on normed linear spaces and their applications to nonlinear matrix equations
    • Reurings M.C.B. Contractive maps on normed linear spaces and their applications to nonlinear matrix equations. Linear Algebra Appl. 418 (2006) 292-311
    • (2006) Linear Algebra Appl. , vol.418 , pp. 292-311
    • Reurings, M.C.B.1
  • 22
    • 0036018627 scopus 로고    scopus 로고
    • On an iteration method for solving a class of nonlinear equations
    • El-Sayed S.M., and Ran A.C.M. On an iteration method for solving a class of nonlinear equations. SIAM J. Matrix Anal. Appl. 23 3 (2001) 632-645
    • (2001) SIAM J. Matrix Anal. Appl. , vol.23 , Issue.3 , pp. 632-645
    • El-Sayed, S.M.1    Ran, A.C.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.