A modified Leverrier-Faddeev algorithm for matrices with multiple-eigenvalues

A - Papers appearing in refereed journals

Gower, J. C. 1980. A modified Leverrier-Faddeev algorithm for matrices with multiple-eigenvalues. Linear Algebra and its Applications. 31 (June), pp. 61-70. https://doi.org/10.1016/0024-3795(80)90206-2

AuthorsGower, J. C.
Abstract

The Leverrier algorithm as modified by Faddeev gives the characteristic equation of a matrix A, its inverse, and the eigenvector corresponding to a simple eigenvalue λ of A. These results are extended (1) to give a generalized inverse when A is not of full rank and (2) to examine the modification required when λ is a multiple eigenvalue.

Year of Publication1980
JournalLinear Algebra and its Applications
Journal citation31 (June), pp. 61-70
Digital Object Identifier (DOI)https://doi.org/10.1016/0024-3795(80)90206-2
Open accessPublished as bronze (free) open access
Publisher's version
Copyright license
Publisher copyright
Output statusPublished
Publication dates
Print01 Jun 1980
Publication process dates
Accepted13 Jun 1979
PublisherElsevier Science Inc
ISSN0024-3795

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