메뉴 건너뛰기




Volumn 430, Issue 8-9, 2009, Pages 2042-2052

On the solution of the nonlinear matrix equation Xn = f (X)

Author keywords

Iterative method; Matrix trinomial equation; Nonlinear matrix equation; Nonpositive curvature; nth root; Positive definite matrix; Riemannian metric

Indexed keywords

CONES; CONTROL THEORY; FILTRATION; ITERATIVE METHODS;

EID: 61449111810     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2008.11.013     Document Type: Article
Times cited : (16)

References (20)
  • 2
    • 35448967283 scopus 로고    scopus 로고
    • Princeton University Press, Princeton and Oxford
    • Bhatia R. Positive Definite Matrices (2007), Princeton University Press, Princeton and Oxford
    • (2007) Positive Definite Matrices
    • Bhatia, R.1
  • 3
    • 0027626240 scopus 로고
    • Kalman filtering with random coefficients and contractions
    • Bougerol Ph. Kalman filtering with random coefficients and contractions. SIAM J. Control Optim. 31 (1993) 942-959
    • (1993) SIAM J. Control Optim. , vol.31 , pp. 942-959
    • Bougerol, Ph.1
  • 5
    • 0015744267 scopus 로고
    • Hilbert's metric and positive contraction mappings in a Banach space
    • Bushell P.J. Hilbert's metric and positive contraction mappings in a Banach space. Arch. Ration. Mech. Anal. 52 (1973) 330-338
    • (1973) Arch. Ration. Mech. Anal. , vol.52 , pp. 330-338
    • Bushell, P.J.1
  • 6
    • 3943079249 scopus 로고    scopus 로고
    • On the semigroup of standard symplectic matrices and its applications
    • Chu M., Buono N., Diele F., Politi T., and Ragni S. On the semigroup of standard symplectic matrices and its applications. Linear Algebra Appl. 389 (2004) 215-225
    • (2004) Linear Algebra Appl. , vol.389 , pp. 215-225
    • Chu, M.1    Buono, N.2    Diele, F.3    Politi, T.4    Ragni, S.5
  • 8
    • 0036055688 scopus 로고    scopus 로고
    • Convergence rate of an iterative method for nonlinear matrix equations
    • Guo C.-H. Convergence rate of an iterative method for nonlinear matrix equations. SIAM J. Matrix Anal. Appl. 23 (2001) 295-302
    • (2001) SIAM J. Matrix Anal. Appl. , vol.23 , pp. 295-302
    • Guo, C.-H.1
  • 9
    • 0033443128 scopus 로고    scopus 로고
    • Iterative solution of two matrix equations
    • Guo C.-H., and Lancaster P. Iterative solution of two matrix equations. Math. Comp. 68 (1999) 1589-1603
    • (1999) Math. Comp. , vol.68 , pp. 1589-1603
    • Guo, C.-H.1    Lancaster, P.2
  • 13
    • 43049136248 scopus 로고    scopus 로고
    • contractions and nonlinear matrix equations
    • Lee H., Lim Y., and metrics I. contractions and nonlinear matrix equations. Nonlinearity 21 (2008) 857-878
    • (2008) Nonlinearity , vol.21 , pp. 857-878
    • Lee, H.1    Lim, Y.2    metrics, I.3
  • 15
    • 0035601362 scopus 로고    scopus 로고
    • The geometric mean, matrices, metrics, and more
    • Lawson J.D., and Lim Y. The geometric mean, matrices, metrics, and more. Amer. Math. Monthly 108 (2001) 797-812
    • (2001) Amer. Math. Monthly , vol.108 , pp. 797-812
    • Lawson, J.D.1    Lim, Y.2
  • 16
    • 39549109172 scopus 로고    scopus 로고
    • A Birkhoff contraction formula with applications to Riccati equations
    • Lawson J.D., and Lim Y. A Birkhoff contraction formula with applications to Riccati equations. SIAM J. Control Optim. 46 (2007) 930-951
    • (2007) SIAM J. Control Optim. , vol.46 , pp. 930-951
    • Lawson, J.D.1    Lim, Y.2
  • 18
    • 84972569116 scopus 로고
    • Generalization of the Hilbert metric to the space of positive definite matrices
    • Liverani C., and Wojtkowski M. Generalization of the Hilbert metric to the space of positive definite matrices. Pacific J. Math. 166 (1994) 339-356
    • (1994) Pacific J. Math. , vol.166 , pp. 339-356
    • Liverani, C.1    Wojtkowski, M.2
  • 19
    • 0036018019 scopus 로고    scopus 로고
    • - 1 A = Q
    • - 1 A = Q. Math. Comp. 71 (2002) 1189-1204
    • (2002) Math. Comp. , vol.71 , pp. 1189-1204
    • Meini, B.1
  • 20
    • 0042410954 scopus 로고    scopus 로고
    • Compressions of infinite-dimensional bounded symmetric domains
    • Neeb K.-H. Compressions of infinite-dimensional bounded symmetric domains. Semigroup Forum 63 (2001) 71-105
    • (2001) Semigroup Forum , vol.63 , pp. 71-105
    • Neeb, K.-H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.