Numerical location of the field of values
- 1 January 1975
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 3 (1-2) , 9-14
- https://doi.org/10.1080/03081087508817085
Abstract
We give an estimate of the angular location of the field of values via the Perron-Frobenius root of a nonnegative matrix obtained from A. This estimate is invariant under diagonal congruences of A and may be used to sharpen an existing inclusion region for F(A). Employing a result of Wielandt, an application is also made to the location of spectra of products of matrices based only on regions simply obtained from the factors individually.Keywords
This publication has 3 references indexed in Scilit:
- Sufficient conditions for D-stabilityJournal of Economic Theory, 1974
- Gersgorin sets and the field of valuesJournal of Mathematical Analysis and Applications, 1974
- Some Remarks on Tournament MatricesLinear Algebra and its Applications, 1972