Matrixes Satisfying Siljak’s Conjecture
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.
|Date of creation:||11 Oct 1981|
|Date of revision:|
|Publication status:||Published in Science Exploration 1.2(1982): pp. 69-76|
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