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Volumn 30, Issue 1, 2008, Pages 276-290

A fast newton's method for a nonsymmetric algebraic riccati equation

Author keywords

Cauchy matrix; Fast algorithm; M matrix; Matrix equation; Newton's iteration; Nonsymmetric algebraic Riccati equation

Indexed keywords

ALGEBRA; LUTETIUM; NEWTON-RAPHSON METHOD; RICCATI EQUATIONS;

EID: 61849128796     PISSN: 08954798     EISSN: 10957162     Source Type: Journal    
DOI: 10.1137/070681478     Document Type: Article
Times cited : (64)

References (17)
  • 2
    • 31444434972 scopus 로고    scopus 로고
    • On the solution of algebraic Riccati equations arising in fluid queues
    • D. A. BINI, B. IANNAZZO, G. LATOUCHE, AND B. MEINI, On the solution of algebraic Riccati equations arising in fluid queues, Linear Algebra Appl., 413 (2006), pp. 474-494.
    • (2006) Linear Algebra Appl , vol.413 , pp. 474-494
    • BINI, D.A.1    IANNAZZO, B.2    LATOUCHE, G.3    MEINI, B.4
  • 3
    • 84966207762 scopus 로고
    • A fast algorithm for the multiplication of generalized Hilbert matrices with vectors
    • A. GERASOULIS, A fast algorithm for the multiplication of generalized Hilbert matrices with vectors, Math. Comp., 50 (1988), pp. 179-188.
    • (1988) Math. Comp , vol.50 , pp. 179-188
    • GERASOULIS, A.1
  • 4
    • 84968505008 scopus 로고
    • Fast Gaussian elimination with partial pivoting for matrices with displacement structure
    • I. GOHBERG, T. KAILATH, AND V. OLSHEVSKY, Fast Gaussian elimination with partial pivoting for matrices with displacement structure, Math. Comp., 64 (1995), pp. 1557-1576.
    • (1995) Math. Comp , vol.64 , pp. 1557-1576
    • GOHBERG, I.1    KAILATH, T.2    OLSHEVSKY, V.3
  • 6
    • 0036060733 scopus 로고    scopus 로고
    • Nonsymmetric algebraic Riccati equations and Wiener-Hopf factorization for Mmatrices
    • C.-H. GUO, Nonsymmetric algebraic Riccati equations and Wiener-Hopf factorization for Mmatrices, SIAM J. Matrix Anal. Appl., 23 (2001), pp. 225-242.
    • (2001) SIAM J. Matrix Anal. Appl , vol.23 , pp. 225-242
    • GUO, C.-H.1
  • 7
    • 33646099380 scopus 로고    scopus 로고
    • Efficient methods for solving a nonsymmetric algebraic Riccati equation arising in stochastic fluid models
    • C.-H. GUO, Efficient methods for solving a nonsymmetric algebraic Riccati equation arising in stochastic fluid models, J. Comput. Appl. Math., 192 (2006), pp. 353-373.
    • (2006) J. Comput. Appl. Math , vol.192 , pp. 353-373
    • GUO, C.-H.1
  • 8
    • 34547893797 scopus 로고    scopus 로고
    • Iterative solution of a nonsymmetric algebraic Riccati equation
    • C.-H. GUO AND N. J. HIGHAM, Iterative solution of a nonsymmetric algebraic Riccati equation, SIAM J. Matrix Anal. Appl., 29 (2007), pp. 396-412.
    • (2007) SIAM J. Matrix Anal. Appl , vol.29 , pp. 396-412
    • GUO, C.-H.1    HIGHAM, N.J.2
  • 9
    • 51449112197 scopus 로고    scopus 로고
    • On the doubling algorithm for a (shifted) nonsymmetric algebraic Riccati equation
    • C.-H. GUO, B. IANNAZZO, AND B. MEINI, On the doubling algorithm for a (shifted) nonsymmetric algebraic Riccati equation, SIAM J. Matrix Anal. Appl., 29 (2007), pp. 1083-1100.
    • (2007) SIAM J. Matrix Anal. Appl , vol.29 , pp. 1083-1100
    • GUO, C.-H.1    IANNAZZO, B.2    MEINI, B.3
  • 10
    • 0041410017 scopus 로고    scopus 로고
    • On the iterative solution of a class of nonsymmetric algebraic Riccati equations
    • C-H. GUO AND A. J. LAUB, On the iterative solution of a class of nonsymmetric algebraic Riccati equations, SIAM J. Matrix Anal. Appl., 22 (2000), pp. 376-391.
    • (2000) SIAM J. Matrix Anal. Appl , vol.22 , pp. 376-391
    • GUO, C.-H.1    LAUB, A.J.2
  • 11
    • 33646491411 scopus 로고    scopus 로고
    • A structure-preserving doubling algorithm for nonsymmetric algebraic Riccati equation
    • X.-X. GUO, W.-W. LIN, AND S.-F. XU, A structure-preserving doubling algorithm for nonsymmetric algebraic Riccati equation, Numer. Math., 103 (2006), pp. 393-412.
    • (2006) Numer. Math , vol.103 , pp. 393-412
    • GUO, X.-X.1    LIN, W.-W.2    XU, S.-F.3
  • 12
    • 0036018652 scopus 로고    scopus 로고
    • A shifted cyclic reduction algorithm for quasi-birth-death problems
    • C. HE, B. MEINI, AND N. H. RHEE, A shifted cyclic reduction algorithm for quasi-birth-death problems, SIAM J. Matrix Anal. Appl., 23 (2001), pp. 673-691.
    • (2001) SIAM J. Matrix Anal. Appl , vol.23 , pp. 673-691
    • HE, C.1    MEINI, B.2    RHEE, N.H.3
  • 13
    • 0032217347 scopus 로고    scopus 로고
    • Nonsymmetric algebraic Riccati equations and Hamiltonian-like matrices
    • J. JUANG AND W.-W. LIN, Nonsymmetric algebraic Riccati equations and Hamiltonian-like matrices, SIAM J. Matrix Anal. Appl., 20 (1998), pp. 228-243.
    • (1998) SIAM J. Matrix Anal. Appl , vol.20 , pp. 228-243
    • JUANG, J.1    LIN, W.-W.2
  • 14
    • 20744454149 scopus 로고    scopus 로고
    • Newton iterations for a non-symmetric algebraic Riccati equation
    • L.-Z. LU, Newton iterations for a non-symmetric algebraic Riccati equation, Numer. Linear Algebra Appl., 12 (2005), pp. 191-200.
    • (2005) Numer. Linear Algebra Appl , vol.12 , pp. 191-200
    • LU, L.-Z.1
  • 15
    • 22944459587 scopus 로고    scopus 로고
    • Solution form and simple iteration of a nonsymmetric algebraic Riccati equation arising in transport theory
    • L.-Z. LU, Solution form and simple iteration of a nonsymmetric algebraic Riccati equation arising in transport theory, SIAM J. Matrix Anal. Appl., 26 (2005), pp. 679-685.
    • (2005) SIAM J. Matrix Anal. Appl , vol.26 , pp. 679-685
    • LU, L.-Z.1
  • 16
    • 26444607857 scopus 로고    scopus 로고
    • A fast algorithm for the inversion of general Toeplitz matrices
    • P.-G. MARTINSSON, V. ROKHLIN, AND M. TYGERT, A fast algorithm for the inversion of general Toeplitz matrices, Comput. Math. Appl., 50 (2005), pp. 741-752.
    • (2005) Comput. Math. Appl , vol.50 , pp. 741-752
    • MARTINSSON, P.-G.1    ROKHLIN, V.2    TYGERT, M.3
  • 17
    • 84946574293 scopus 로고
    • Error analysis of a fast partial-pivoting method for structured matrices
    • F. T. Luk, ed, SPIE, Bellingham, WA
    • D. R. SWEET AND R. P. BRENT, Error analysis of a fast partial-pivoting method for structured matrices, in Advanced Signal Processing Algorithms, Proceedings of SPIE 2563, F. T. Luk, ed., SPIE, Bellingham, WA, 1995, pp. 266-280.
    • (1995) Advanced Signal Processing Algorithms, Proceedings of SPIE , vol.2563 , pp. 266-280
    • SWEET, D.R.1    BRENT, R.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.