Level repulsion and the dynamical diagonalization of matrices

A set of first-order coupled equations of motion for eigenvalues and eigenvectors of a generic matrix is derived in terms of the equation of motion for the matrix itself. An efficient method of diagonalization is then constructed by defining an appropriate dynamics for the matrix. A comparison with the standard diagonalization method based on Jacobi transformations is made.

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Year of publication:	2002
Authors:	Pato, M.P
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 312.2002, 1, p. 153-158
Publisher:	Elsevier
Subject:	Statistical models \| Computation techniques \| Quantum computation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010590643