Bapat, R. B. (1988) Refining Schur's inequality using schur complements Linear and Multilinear Algebra, 23 (1). pp. 55-62. ISSN 0308-1087
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Official URL: http://www.tandfonline.com/doi/abs/10.1080/0308108...
Related URL: http://dx.doi.org/10.1080/03081088808817856
Abstract
If A is a hermitian positive semidefinite n × n matrix, then Schur's inequality asserts that Σσ∈G X (σ)n where G is a subgroup of Sn∏i=1αiσ(i) ≥ X (id) det A, where G is a subgroup of Sn, the symmetric group of degree n, and χ is a character of G. The inequality is refined using Schur complements.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Taylor and Francis Group. |
| ID Code: | 81591 |
| Deposited On: | 07 Feb 2012 05:09 |
| Last Modified: | 07 Feb 2012 05:09 |
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