The Properties of a Kind of Random Symplectic Matricess

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(5): 526-532

YAN Qing-you. The Properties of a Kind of Random Symplectic Matricess[J]. Applied Mathematics and Mechanics, 2002, 23(5): 526-532.

Citation:

YAN Qing-you. The Properties of a Kind of Random Symplectic Matricess[J]. Applied Mathematics and Mechanics, 2002, 23(5): 526-532.

Citation:

YAN Qing-you. The Properties of a Kind of Random Symplectic Matricess[J]. Applied Mathematics and Mechanics, 2002, 23(5): 526-532.

Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P R China

[1]	Benner P,Farbender H.The symplectic eigenvalue problem,the butterfly form,the SR algorithm,and the Lanczos method[J].Linear Alg Appl,1998,19(47):275-276.
[2]	Bunse-Gerstner A.Mehrmann V.A symplectic QR-like Algorithm for the solution of the real algebraic Riccati equation[J].IEEE Trans Automat Contr,1986,AC-31:1104-1113.
[3]	Benner P,Mehrmann V,Xu H.A numerically stable,structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils[J].Numer Math,1998,78:329-358.
[4]	Jacob B.Linear Algebra[M].New York:W H Freeman and Company,1990.
[5]	Saad Y.Numerical Methods for Large Eigenvalue Problems[M].M13 9PL,Manchester,UK:Manchester University Press,1992.
[6]	Golub G H,Van Loan C.Matrix Computations[M].Third Edition.The Johns Hopkins University Press,1996.
[7]	Van Loan C.A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix[J].Linear Algebra Appl,1984,16:233-251.