Matrixes Satisfying Siljak’s Conjecture

Guoqiang Tian

MPRA Paper from University Library of Munich, Germany

Abstract: Siljak’s Conjecture on the existence of a symmetric positive definite matrix V having a specified structure and satisfying Liapunov’s matrix equation A*V+VA= -W is shown to be true in cases when A is an orthogonal matrix; when A is a symmetric matrix; when A is a normal matrix or A is the linear combination of nonnegative coefficient of all these matrixes.

Keywords: Matrix; Siljak’s Conjecture (search for similar items in EconPapers)
JEL-codes: C0 (search for similar items in EconPapers)
Date: 1981-10-11
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Published in Science Exploration 1.2(1982): pp. 69-76

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