hermitian_semidefinite(n) 函数是一个假设中的函数，它的功能是判断一个n×n 的Hermitian 矩阵是否为半正定矩阵。Hermitian 矩阵是一种特殊的复数矩阵，它的转置矩阵等于其共轭矩阵。换句话说，如果一个矩阵A 的所有元素都满足 （其中 ），则称A 为Hermitian 矩阵。半正定矩阵是一种特殊类型的矩阵，其所有特征值都...
G. E. Trapp, Hermitian semidefinite matrix means and related matrix inequalities - An introduction, Linear Multilinear. Alg. 16 (1984), 113-123.Hermitian semidefinite matrix means and related matrix inequalities–an introduction - Trapp - 1984 () Citation Context ... geometric mean of two ...
Hermitian positive semidefinite matrices whose entries are 0 or 1 in modulus. Linear and Multilinear Algebra, 46(4):259-264, 1999.D. Hershkowitz, M. Neumann, H. Schneider, Hermitian positive semidefinite matrices whose entries are 0 or 1 in modulus, Linear and Multilinear Algebra 46 (1999) ...
Two-stage iterative methods for consistent Hermitian positive semidefinite systems[J] . Zhi-Hao Cao,He-Bing Wu,Zhong-Yun Liu.Linear Algebra and Its Applications . 1999 (1)CAO Zhi2hao ,WU Hua2bing ,L IU Zhong2yun. Two2stage iterative met hods for consistent hermitian positive semidefinite ...
In this paper, we study the trace and the eigenvalues of a positive definite Hermitian matrix and get inequalities about the trace and eigenvalues between the Schur complement of the sum of positive definite Hermiteian matrix and the sum of the Schur complements of positive definite Hermiteian mat...
Let A and B be n x n positive semidefinite Hermitian matrices, let alpha and beta be real numbers, let o denote the Hadamard product of matrices, and let A(k) denote any k x k principal submatrix of A. The following trace and eie;envalue inequalities are shown: tr(A o B)(alpha)...
B. Cain, Hermitian congruence for matrices with semidefinite real part and for H-stable matrices, Linear Algebra Appl. 7 (1973) 43-52.B.E. Cain, Hermitian congruence for matrices with semidefinite real part and for H-stable matrices, Linear Algebra Appl. 7(1973), 43-52....
Michael NeumannHans SchneiderarXivarXiv Mathematics e-printsD. HERSHKOWITZ, M. NEUMANN, and H. SCHNEIDER. Hermitian positive semidefinite matrices whose entries are 0 or 1 in modulus. Technical report, Dept. of Mathematics, Technion, Israel, 1998....
Hari (1997), 'Relative residual bounds for the eigenvalues of a Hermitian semidefinite matrix', SIAM J. Matrix Anal. Appl. 18, 21-9.Z. DRMACˇ AND V. HARI, Relative residual bounds for the eigenvalues of a Hermitian semidefinite matrix, SIAM J. Matrix Anal. Appl. 18, 1 (1997), 21...
positive semidefinite generalized inverseThe main aim of this paper is to investigate the Hermitian and positive semidefinite generalized inverses of a square matrix. First, we present some conditions for the existence of Hermitian and positive semidefinite generalized inverses. Further, expressions of ...