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Let Mn be the set of n×n complex matrices. If X is positive semidefinite, we put X≥0. For two Hermitian matrices X,Y∈Mn,X≥Y means X−Y is positive semidefinite. If X is positive definite, we put X>0. The Hadamard product of A,B∈Mn is denoted by A∘B, and the Hadama...
10.Properties of Kronecker Product on Black Diagonally Dominant Matrices and Generalized Black Diagonally Dominant Matrices;块对角占优阵与广义块对角占优阵Kronecker积的性质 11.On the Matrix Inequalitiy for the Hadamard Product of Positive Semidefinite Matrices关于半正定矩阵Hadamard积的矩阵不等式 12.Applica...
Liu S: Several inequalities involving Khatri-Rao products of positive semidefinite matrices. Linear Algebra and Its Applications 2002,354(1–3):175–186.MATHMathSciNetCrossRef 7. Mond B, Pečarić JE: Matrix inequalities for convex functions. Journal of Mathematical Analysis and Applications 1997...
The Hadamard product of two positive-semidefinite matrices is positive-semidefinite.[5] This is known as the Schur product theorem,[3] after German mathematician Issai Schur. For positive-semidefinite matrices A and B, it is also known that ...
13.Properties of Hadamard Product of Some Blocks Matrices几类块矩阵的Hadamard积的性质 14.A new operator defined by Hadamard product利用Hadamard积定义的一个新算子 15.On the Matrix Inequalitiy for the Hadamard Product of Positive Semidefinite Matrices关于半正定矩阵Hadamard积的矩阵不等式 16.On Double ...
7.Properties of Hadamard Product of Some Blocks Matrices几类块矩阵的Hadamard积的性质 8.A new operator defined by Hadamard product利用Hadamard积定义的一个新算子 9.On the Matrix Inequalitiy for the Hadamard Product of Positive Semidefinite Matrices关于半正定矩阵Hadamard积的矩阵不等式 10.On Double Str...
For real symmetric and positive semidefinite matrices Q=( q ij) one of them gives a bound of ‖| Q‖, | Q|=(| q ij|). Two of these bounds are applied to obtain a mean value theorem for g: t→ f( A( t)) where A( t) is a matrix depending on a parameter t and f is a...
Inequalities Involving Hadamard Products of Positive Semidefinite Matrices An inequality established by G. P. H. Styan (1973, Linear Algebra Appl.,6, 217–240) is on the Hadamard product and a correlation matrix. An inequality obt... S Liu - 《Journal of Mathematical Analysis & Applications》...