Abstract
The purpose of this paper is to present a matrix inequality on the Kronecker product that unifies the proofs of many existing matrix inequalities in the Löwner partial ordering on the sum, ordinary product, and Hadamard (Schur) product. Schur complements serve as the basic tool
| Original language | American English |
|---|---|
| Pages (from-to) | 399-410 |
| Number of pages | 12 |
| Journal | Linear Algebra and its Applications |
| Volume | 321 |
| Issue number | 1-3 |
| DOIs | |
| State | Published - Dec 15 2000 |
Funding
The work was supported in part by the Nova Faculty Development Funds. Tel.: +1-954-262-8317; fax: +1-954-262-3931. E-mail address: [email protected] (F. Zhang).
ASJC Scopus Subject Areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics
Keywords
- Correlation matrix
- Hadamard product
- Kronecker product
- Lowner ordering
- Matrix inequality
- Positive semi-definite matrix
- Principal submatrix
- Schur complement
- 15A45
- Löwner ordering
Disciplines
- Mathematics
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