JP Journal of Algebra, Number Theory and Applications
Volume 1, Issue 2, Pages 87 - 114
(August 2001)
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ON PRESERVING STRUCTURED MATRICES USING DOUBLE BRACKET
OPERATORS: TRIDIAGONAL AND TOEPLITZ MATRICES
Kenneth R. Driessel (U. S. A), Irvin R. Hentzel (U. S. A) and Wasin So (U. S. A)
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Abstract: In the algebra of square
matrices over the complex numbers,
denotes
Two problems are solved: (1) Find all
Hermitian matrices M which have the
following property: For every Hermitian matrix
A, if A is tridiagonal, then so
is (2)
Find all Hermitian matrices M which
have the following property: For every
Hermitian matrix A, if A is
Toeplitz, then so is |
Keywords and phrases: structured
matrices, tridiagonal, Toeplitz. |
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