On optimal linearisations of a quadratic eigenvalue problem
- 1 February 1980
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 8 (3) , 253-258
- https://doi.org/10.1080/03081088008817326
Abstract
A large class of linearisations of a quadratic eigenvalue problem of damped oscillations is considered and it is shown that the so-called j-symmetric linearisations have the smallest Henrici departure from normality. A typical illustrative example is discussed.Keywords
This publication has 2 references indexed in Scilit:
- On Measures of Non-Normality for MatricesThe American Mathematical Monthly, 1965
- Bounds for iterates, inverses, spectral variation and fields of values of non-normal matricesNumerische Mathematik, 1962