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- Shu-Yu Cui
- 2001

This paper is devoted to establishing local and global existence theorems for autonomous semilinear parabolic initial value problems. The local existence theorems do not require Lipchitz condition on nonlinear term. The global existence theorem is an extension of the well-known result of Fujita-Weissler for semilinear heat equations to general autonomous… (More)

- Gui-Xian Tian, Ting-Zhu Huang, Shu-Yu Cui
- Numerical Lin. Alg. with Applic.
- 2009

- Min-Hui Liu, Gui-Xian Tian, Shu-Yu Cui
- Ars Comb.
- 2016

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)

- Gui-Xian Tian, Ting-Zhu Huang, Shu-Yu Cui
- Ars Comb.
- 2013

- Shu-Yu Cui, Gui-Xian Tian
- J. Applied Mathematics
- 2012

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)

- Shu-Yu Cui, Gui-Xian Tian
- Applied Mathematics and Computation
- 2017

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