Shu-Yu Cui

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Given a matrix family, it is interesting to know whether some important properties or structures of the class of matrices are inherited by their submatrices or by the matrices associated with the original matrices. It is known that the principal submatrices and the Schur complements of positive semidefinite matrices are positive semidefinite matrices; the(More)
The set of all n-by-n complex matrices is denoted by Cn×n. Let A aij ∈ Cn×n. Denote the Hermitian adjoint of matrix A by A∗. Then the singular values of A are the eigenvalues of AA∗ . It is well known that matrix singular values play a very key role in theory and practice. The location of singular values is very important in numerical analysis and many(More)
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