1 |
Nicholas J. Higham and Hyun-Min Kim, Numerical analysis of a quadratic matrix equation, IMA J. Numer. Anal., 20(4) (2000), 499-519.
DOI
ScienceOn
|
2 |
Jong Hyeon Seo and Hyun-Min Kim, Solving matrix polynomials by Newton's method with exact line searches, J. KSIAM, 12 (2008), 55-68.
|
3 |
X. Y. Peng, X. Y. Hu, and L. Zhang, An iterative method for symmetric slutions and the optimal approximation solution of the matrix equation = C, Appl. Math. Comput., 160 (2005), 763-777.
DOI
ScienceOn
|
4 |
J. E. Dennis, Jr., J. F. Traub, and R. P. Weber, The algebraic theory of matrix polynomials, SIAM J. Numer. Anal., 13(6) (1976), 831-845.
DOI
ScienceOn
|
5 |
Hyun-Min Kim, Convergence of newton's method for solving a class of quadratic matrix equations, Honam Mathematical Journal, 30(2) (2008), 399-409.
DOI
|
6 |
J. E. Dennis, Jr., J. F. Traub, and R. P. Weber, Algorithms for solvents of matrix polynomials, SIAM J. Numer. Anal., 15(3) (1978), 523-533.
DOI
ScienceOn
|
7 |
I. Gohberg, P. Lancaster, and L. Rodman, Matrix Polynomials, Academic Press, New York, 1982.
|
8 |
Chu K.E, Symmetric solutions of the linear matrix equations by matrix decompositions, Linear Algebra and Appl., 119 (1989), 35-50.
DOI
ScienceOn
|
9 |
W. Kratz and E. Stickel, Numerical solution of matrix polynomial equations by Newton's method, IMA J. Numer. Anal., 7 (1987), 355-369.
DOI
|
10 |
P. Lancaster and M. Tismenetsky, The Theory of Matrices with Applications, 2nd ed, Academic Press, New York, 1982.
|
11 |
Peter Lancaster, Lambda-Matrices and Vibrating Systems, Pergamon Press, Oxford, 1966.
|
12 |
Maolin Liang, Lifang Dai, and Sanfu Wang, An iterative method for (R,S)-symmetric solution of matrix equation = C, Sci. Magna., 4 (2008) , 60-70.
|
13 |
Maolin Liang, Chuanhua You, and Lifang Dai, An efficient algorithm for the generalized centro-symmetric solution of matrix equation = C, Numer. Algor., 44 (2007), 173-184.
DOI
ScienceOn
|
14 |
Cleve Moler and Peter J. Costa, Symbolic Math Toolbox Version 2: User's Guide, The MathWorks, Inc, Natick, MA, USA, 1998.
|
15 |
George J. Davis, Numerical solution of a quadratic matrix equation, SIAM J. Sci. Stat. Comput., 2(2) (1981), 164-175.
DOI
|
16 |
H. Dai, On the symmetric solutions of linear matrix equations, Linear Algebra and Appl., 131 (1990), 1-7.
DOI
ScienceOn
|
17 |
Mehdi Dehghan and Masoud Hajarian, Finite iterative algorithms for the reflexive and anti-reflexive solutions of the matrix equation = C, Mathematical and Computer Modeling, 49 (2009), 1937-1959.
DOI
ScienceOn
|
18 |
Attahiru Sule Alfa, Combinded elapsed time and matrix-analytic method for the discrete time GI/G/I and GIX/G/I systems, Qucucing Systems, 45 (2003), 5-25.
|
19 |
N. G. Bean, L. Bright, G. Latouche, C. E. M. Pearce, P. K. Pollett, and P. G. Taylor, The quasi-stationary behavior of quasi-birth-death processes, The Annals of Applied Probability, 7(1) (1997), 134-155.
DOI
|
20 |
G. J. Butler, C. R. Johnson, and H. Wolkowicz, Nonnegative solutions of a quadratic matrix equation arising from comparison theorems in ordinary, SIAM J. Alg. Disc. Meth., 6(1) (1985), 47-53.
DOI
|