메뉴 건너뛰기




Volumn 2, Issue 1-2, 2007, Pages 11-34

Evaluation of the linear matrix equation solvers in SLICOT

Author keywords

Computer aided control system design; Linear matrix equations; Lyapunov equations; Numerical algorithms; Numerical linear algebra; Sylvester equations

Indexed keywords


EID: 53849094025     PISSN: 17908140     EISSN: 17908159     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (14)

References (34)
  • 4
    • 84976855597 scopus 로고
    • Algorithm 432: Solution of the matrix equation AX+XB = C
    • R. H. Bartels and G. W. Stewart, Algorithm 432: Solution of the matrix equation AX+XB = C, Comm. ACM 15, 820-826 (1972).
    • (1972) Comm. ACM , vol.15 , pp. 820-826
    • Bartels, R.H.1    Stewart, G.W.2
  • 11
  • 12
    • 84976797154 scopus 로고
    • Improving the effciency of matrix operations in the numerical solution of stiffordinary differential equations
    • W. Enright, Improving the effciency of matrix operations in the numerical solution of stiffordinary differential equations, ACM Trans. Math. Softw. 4 127-136 (1978).
    • (1978) ACM Trans. Math. Softw , vol.4 , pp. 127-136
    • Enright, W.1
  • 13
    • 0000860359 scopus 로고
    • Methods for the solution of AXD-BXC = E and its application in the numerical solution of implicit ordinary differential equations
    • M. Epton, Methods for the solution of AXD-BXC = E and its application in the numerical solution of implicit ordinary differential equations, BIT, 20 341-345 (1980).
    • (1980) BIT , vol.20 , pp. 341-345
    • Epton, M.1
  • 18
    • 0000567621 scopus 로고
    • Numerical solution of the stable, non-negative definite Lyapunov equation
    • S. J. Hammarling, Numerical solution of the stable, non-negative definite Lyapunov equation, IMA J. Numer. Anal., 2 303-323 (1982).
    • (1982) IMA J. Numer. Anal. , vol.2 , pp. 303-323
    • Hammarling, S.J.1
  • 20
    • 0030092417 scopus 로고    scopus 로고
    • LAPACK-style algorithms and software for solving the generalized Sylvester equation and estimating the separation between regular matrix pairs
    • B. Kågström and P. Poromaa, LAPACK-style algorithms and software for solving the generalized Sylvester equation and estimating the separation between regular matrix pairs, ACM Trans. Math. Softw., 22 78-103 (1996).
    • (1996) ACM Trans. Math. Softw. , vol.22 , pp. 78-103
    • Kågström, B.1    Poromaa, P.2
  • 21
    • 0038835630 scopus 로고    scopus 로고
    • CTLEX - A Collection of Benchmark Examples for Continuous-time Lyapunov Equations
    • D. Kreßner, V. Mehrmann, and T. Penzl, CTLEX - A Collection of Benchmark Examples for Continuous-time Lyapunov Equations, SLICOT Working Note 1999-6. Available from http://www.slicot.org.
    • SLICOT Working Note 1999-6
    • Kreßner, D.1    Mehrmann, V.2    Penzl, T.3
  • 22
    • 0038835630 scopus 로고    scopus 로고
    • DTLEX - A Collection of Benchmark Examples for Discrete-time Lyapunov Equations
    • D. Kreßner, V. Mehrmann, and T. Penzl, DTLEX - A Collection of Benchmark Examples for Discrete-time Lyapunov Equations, SLICOT Working Note 1999-7. Available from http://www.slicot.org.
    • SLICOT Working Note 1999-7
    • Kreßner, D.1    Mehrmann, V.2    Penzl, T.3
  • 25
    • 0004235292 scopus 로고    scopus 로고
    • The MathWorks, Version 5, The MathWorks, Inc., Natick, MA
    • The MathWorks, Using Matlab. Version 5 (The MathWorks, Inc., Natick, MA, 1999).
    • (1999) Using Matlab
  • 29
    • 0032342953 scopus 로고    scopus 로고
    • Numerical solution of generalized Lyapunov equations
    • T. Penzl, Numerical solution of generalized Lyapunov equations, Adv. Comp. Math., 8 33-48 (1997).
    • (1997) Adv. Comp. Math , vol.8 , pp. 33-48
    • Penzl, T.1
  • 30
    • 0003299815 scopus 로고    scopus 로고
    • Algorithms for Linear-Quadratic Optimization
    • Marcel Dekker, Inc., New York, NY
    • V. Sima, Algorithms for Linear-Quadratic Optimization, Pure and Applied Mathematics Vol. 200 (Marcel Dekker, Inc., New York, NY, 1996).
    • (1996) Pure and Applied Mathematics , vol.200
    • Sima, V.1
  • 32
    • 33746599982 scopus 로고    scopus 로고
    • Evaluation of the Linear Matrix Equation Solvers in SLICOT
    • M. Slowik, P. Benner, and V. Sima, Evaluation of the Linear Matrix Equation Solvers in SLICOT, SLICOT Working Note 2004-1. Available from http://www.slicot.org.
    • SLICOT Working Note 2004-1
    • Slowik, M.1    Benner, P.2    Sima, V.3
  • 34
    • 0025488625 scopus 로고
    • A note on Hammarling's algorithm for the discrete Lyapunov equation
    • A. Varga, A note on Hammarling's algorithm for the discrete Lyapunov equation, Sys. Control Lett., 15 273-275 (1990).
    • (1990) Sys. Control Lett , vol.15 , pp. 273-275
    • Varga, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.