Positive definite solutions of some matrix equations
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AbstractIn this paper we investigate some existence questions of positive semi-definite solutions for certain classes of matrix equations known as the generalized Lyapunov equations. We present sufficient and necessary conditions for certain equations and only sufficient for others.
Numerical Analysis, Positive definite matrix, Algebra and Number Theory, Positive definite function, Matrix equation, Fourier transform, Discrete Mathematics and Combinatorics, Geometry and Topology, Lyapunov matrix equation, Bochner’s theorem
Numerical Analysis, Positive definite matrix, Algebra and Number Theory, Positive definite function, Matrix equation, Fourier transform, Discrete Mathematics and Combinatorics, Geometry and Topology, Lyapunov matrix equation, Bochner’s theorem
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