Numerical analysis of a quadratic matrix equation

Abstract

The quadratic matrix equation AX2 + B X +C = 0 in n ×n matrices arises in applications and is of intrinsic interest as one of the simplest nonlinear matrix equations. We give a complete characterization of solutions in terms of the generalized Schur decomposition and describe and compare various numerical solution techniques. In particular, we give a… (More)

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Cite this paper

@inproceedings{Higham2001NumericalAO, title={Numerical analysis of a quadratic matrix equation}, author={Nicholas J. Higham}, year={2001} }