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View all- Chen LZeng Z(2008)Which Symmetric Homogeneous Polynomials Can Be Proved Positive Semi-definite by Difference Substitution Method?Computer Mathematics10.1007/978-3-540-87827-8_5(57-71)Online publication date: 2008
Let be symmetric positive definite matrix, symmetric nonnegative definite matrix. If the difference of and is positive definite, then the difference of and is also positive definite. If, are all symmetric nonnegative definite matrices, Milliken and ...
In this paper, using a minimum principle for Schur complements of positive semidefinite Hermitian matrices and some estimates of the eigenvalues and the singular values, we obtain some inequalities for the eigenvalues of the Schur complement of the ...
We consider operator norms on rectangular matrices. When the underlying vector norms are semiabsolute/absolute and the matrices are nonnegative, we obtain an inequality involving Schur (Hadamard) products of fractional Schur powers of matrices and the ...
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