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...
Therefore, only Hermitian matrix is considered in this chapter Let A be an Hermitian matrix If A is positive definite (resp., positive semidefinite), then all of its principal submatrices are positive definite (resp., positive semidefinite) ...
More generally, a Hermitian matrix (that is, a complex matrix equal to its conjugate transpose) is positive-definite if the real number is positive for every nonzero complex column vector , where denotes the conjugate transpose of . Positive semi-definitematricesare defined simil...
A new algorithm to approximate Hermitian matrices by positive semidefinite matrices based on modified Cholesky decompositions is presented. The approximation error and the condition number of the approximation can be controlled by parameters of the algorithm. The algorithm tries to minimize the ...
1)Hermitian positive definite matrixHermitian正定矩阵 1.Furthermore, a new estimation of the lower bound of the determinant module on the Hadamard product of a Hermitian positive definite matrix and a quasi-generalized complex positive definite matrix is obtained by using the improvement and the prope...
positive definite matrix 正定矩阵 positive semidefinite matrix 半正定矩阵 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 positive semi definite matrix 正半定矩阵 be positive 乐观 matrix (matrixes or matrices) 矩阵,矩阵 goo...
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 ...
12.Estimates for Elgenvalues of Product of Positive Semidefinite Hermitian Matrices半正定Hermite矩阵之积的特征值估计 13.The Positive Semi-definite of Gram Matrix and it's Application格拉姆(Gram)矩阵的半正定性及其应用 14.On Partial Ordering of Pseudo-Schur Complement for Positive Semidefinite Block Matr...
即对称矩阵symmetric matrix (k(xi,xj))i,j=1n=(k(x1,x1)⋯k(x1,xn)⋮⋱⋮k(xn,x1)⋯k(xn,xn)) 是半正定的。s positive semidefinite. 对称矩阵通常称为矩阵。对称矩阵 (k(xi,xj))i,j=1n通常称为 Gram矩阵。定义。设为一个集合。若对于每个和,则为正定核...
测试3×3 Hermitian 矩阵是否为半正定矩阵: In[1]:= Out[1]= 范围(10) 选项(1) 应用(13) 属性和关系(13) 可能存在的问题(2) 参见 PositiveDefiniteMatrixQNegativeDefiniteMatrixQNegativeSemidefiniteMatrixQHermitianMatrixQSymmetricMatrixQEigenvaluesSquareMatrixQ...