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Volumn 53, Issue 6, 2007, Pages 977-988

Iterations for solving a rational Riccati equation arising in stochastic control

Author keywords

Lyapunov equation; Newton method; Nonlinear matrix equation; Positive semidefinite solution; Pseudo inverse matrix; Rational matrix function

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MATRIX ALGEBRA; NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS; STOCHASTIC CONTROL SYSTEMS;

EID: 34248390880     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.12.009     Document Type: Article
Times cited : (30)

References (9)
  • 1
    • 33750408327 scopus 로고    scopus 로고
    • Iterative solution of a matrix Riccati equation arising in stochastic control
    • Guo C. Iterative solution of a matrix Riccati equation arising in stochastic control. Oper. Theory Adv. Appl. 130 (2001) 209-221
    • (2001) Oper. Theory Adv. Appl. , vol.130 , pp. 209-221
    • Guo, C.1
  • 2
    • 0000702303 scopus 로고    scopus 로고
    • Well-posedness and attainability of indefinite stochastic linear quadratic control in infinite time horizon
    • Rami M.A., Zhou X.Y., and Moore J.B. Well-posedness and attainability of indefinite stochastic linear quadratic control in infinite time horizon. Syst. Control Lett. 41 (2000) 123-133
    • (2000) Syst. Control Lett. , vol.41 , pp. 123-133
    • Rami, M.A.1    Zhou, X.Y.2    Moore, J.B.3
  • 3
    • 0036334529 scopus 로고    scopus 로고
    • Indefinite stochastic linear quadratic control and generilized differential Riccati equation
    • Rami M.A., Moore J.B., and Zhou X.Y. Indefinite stochastic linear quadratic control and generilized differential Riccati equation. SIAM J. Control Optim. 40 (2001) 1296-1311
    • (2001) SIAM J. Control Optim. , vol.40 , pp. 1296-1311
    • Rami, M.A.1    Moore, J.B.2    Zhou, X.Y.3
  • 4
    • 0742284369 scopus 로고    scopus 로고
    • On a class of rational matrix differential equations arising in stochastic control
    • Freiling G., and Hochhaus A. On a class of rational matrix differential equations arising in stochastic control. Linear Algebra Appl. 379 (2004) 43-68
    • (2004) Linear Algebra Appl. , vol.379 , pp. 43-68
    • Freiling, G.1    Hochhaus, A.2
  • 5
    • 0037932053 scopus 로고    scopus 로고
    • Properties of the solutions of rational matrix difference equations
    • Freiling G., and Hochhaus A. Properties of the solutions of rational matrix difference equations. Comput. Math. Appl. 45 (2003) 1137-1154
    • (2003) Comput. Math. Appl. , vol.45 , pp. 1137-1154
    • Freiling, G.1    Hochhaus, A.2
  • 6
    • 0035426962 scopus 로고    scopus 로고
    • Newton's method for a rational matrix equation occurring in stochastic control
    • Damm T., and Hinrichsen D. Newton's method for a rational matrix equation occurring in stochastic control. Linear Algebra Appl. 332-334 (2001) 81-109
    • (2001) Linear Algebra Appl. , vol.332-334 , pp. 81-109
    • Damm, T.1    Hinrichsen, D.2
  • 8
    • 0033443128 scopus 로고    scopus 로고
    • Iterative solution of two matrix equations
    • Guo C., and Lancaster P. Iterative solution of two matrix equations. Math. Comput. 68 (1999) 1589-1603
    • (1999) Math. Comput. , vol.68 , pp. 1589-1603
    • Guo, C.1    Lancaster, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.