Applications of the Modified Leverrier-faddeev Algorithm for the Construction of Explicit Matrix Spectral Decompositions and Inverses

JC GOWER; PJF GROENEN

Applications of the Modified Leverrier-faddeev Algorithm for the Construction of Explicit Matrix Spectral Decompositions and Inverses

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Abstract

The Leverrier-Faddeev algorithm, as modified by Gower [1], provides a powerful tool for constructing explicit matrix inverses and spectral decompositions, especially for classes of matrices that exhibit certain kinds of defined structure. The derivation of some standard results illustrates the method and some new applications are given stemming from the field of multidimensional scaling.

Original language	English
Pages (from-to)	51-64
Number of pages	14
Journal	Utilitas Mathematica
Volume	40
Publication status	Published - Nov 1991
Externally published	Yes

Cite this

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Applications of the Modified Leverrier-faddeev Algorithm for the Construction of Explicit Matrix Spectral Decompositions and Inverses

Abstract

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