Level repulsion and the dynamical diagonalization of matrices

M.p Pato

Physica A: Statistical Mechanics and its Applications, 2002, vol. 312, issue 1, 153-158

Abstract: 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.

Keywords: Statistical models; Computation techniques; Quantum computation (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:312:y:2002:i:1:p:153-158

DOI: 10.1016/S0378-4371(02)00863-4

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