Unitary Tridiagonalisation in M(4, C)
Rings and Algebras
2007-05-23 v2 Algebraic Geometry
Abstract
A question of interest in Linear Algebra is whether all n x n complex matrices can be unitarily tridiagonalised. The answer for all n not equal to 4 (affirmative or negative) has been known for a while, whereas the case n=4 seems to have remained open. In this paper, we settle the n=4 case in the affirmative. Some machinery from complex algebraic geometry needs to be used.
Keywords
Cite
@article{arxiv.math/0109051,
title = {Unitary Tridiagonalisation in M(4, C)},
author = {Vishwambhar Pati},
journal= {arXiv preprint arXiv:math/0109051},
year = {2007}
}
Comments
14 pages