Unitary Tridiagonalisation in M(4, C)

Details Unitary Tridiagonalisation in M(4, C) Unitary Tridiagonalisation in M(4, C)

2001-09-07

arxiv.org/abs/math/0109051v2

Proc. Indian Acad. Sci. (Math.Sci.), Vol. 111, No. 4, November 2001, 381-397

Mathematics

Rings and Algebras

14 pages

Scientific paper

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.

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