positive semidefinite form 半正定型,正半定形式 negative semidefinite matrix 负半定矩阵,半负定矩阵 positive matrix 正矩阵 positive definite matrix 正定矩阵 essentially positive matrix 本性正矩阵 positive real matrix 正实阵 positive definite Hermitian matrix 正定埃尔米特矩阵 相似...
An n× n hermitian matrix A is called conditionally positive semidefinite if x* Ax≥ 0 for every x=(x1,x2…,xn)T∈ℂn such that ∑j=1nxj=0. Theorem 2.5 Let A=[aij]i,j=1nbe a hermitian matrix. Then the entrywise exponential [exp(taij)]i,j=1nis positive semidefinite for ...
We show that a matrix is a Hermitian positive semidefinite matrix whose nonzero entries have modulus 1 if and only if it is similar to a direct sum of all I's matrices and a 0 matrix via a unitary monomial similarity. In particular, the only such nonsingular matrix is the identity ...
PositiveDefiniteMatrixQNegativeDefiniteMatrixQNegativeSemidefiniteMatrixQHermitianMatrixQSymmetricMatrixQEigenvaluesSquareMatrixQ 按以下格式引用:Wolfram Research (2014),PositiveSemidefiniteMatrixQ,Wolfram 语言函数,https://reference.wolfram.com/language/ref/PositiveSemidefiniteMatrixQ.html. ...
The product of a Hermitian matrix and a positive semidefinite matrix has only real eigenvalues. We present bounds for sums of eigenvalues of such a product. BY Xi,F Zhang - 《Arxiv》 被引量: 0发表: 2019年 PROBLEM OF EQUALITIES IN EIGENVALUE INEQUALITIES FOR PRODUCTS OF POSITIVE SEMIDEFINITE...
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 matrix by proving ...
Hermitian positive semidefinite matrixP -regular splittingComparison theoremWe study stationary and nonstationary two-stage iterative methods for the solution of consistent and singular linear systems Ax = b , where A is a Hermitian positive semidefinite matrix. When the outer splitting is P -regular ...
18阅读文档大小:97.88K5页jizhenfan1976上传于2017-01-05格式:PDF Perturbation analysis of the Hermitian positive definite solution of the matrix equation X AX2A = I 热度: 人工智能基础(第2版) x2d;高济 x2d;ai x2d;4 x2d;本 热度: Not Positive Definite Matrices--Causes and Cures ...
1) Nonsingular complex positive semidefinite matrix 非奇异复半正定矩阵2) singular Hermitian positive semidefinite matrix 奇异Hermitian正半定矩阵3) positive definite matrices singular matrices 正定矩阵/奇异阵4) complex metapositive semidefinite matrix 复亚半正定矩阵 1. The concept of complex meta...
Two inequalities involving Hadamard products of positive semi-definite Hermitian matrices Wang B Y,Zhang F Z.Trace and eigenvalue inequalities for ordinary and Hadamard products of positive semi-definite Hermitian matrices.SIAM Journal on Matrix... CG Cao,ZP Yang,Z Xian - 《Journal of Applied Math...