INEQUALITIES FOR SUMS OF MATRIX QUADRATIC-FORMS

Authors
NORDSTROM K MATHEW T
Citation
K. Nordstrom et T. Mathew, INEQUALITIES FOR SUMS OF MATRIX QUADRATIC-FORMS, Linear algebra and its applications, 237, 1996, pp. 429-447
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
237
Year of publication
1996
Pages
429 - 447
Database
ISI
SICI code
0024-3795(1996)237:<429:IFSOMQ>2.0.ZU;2-4
Abstract
An attainable upper matrix bound is derived for [GRAPHICS] improving u pon earlier bounds by Anderson and Taylor [Linear Algebra Appl. 30:93- 99 (1980)] and Olkin [Linear Algebra Appl. 52/53:529-532 (1983)]. Ineq ualities for the sum of harmonic means or parallel sums are derived as special cases. The more general problem of obtaining an upper bound f or [GRAPHICS] is also considered.