The Lyapunov matrix equation. Matrix analysis from a computational perspective
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🧮 math.NA
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matrixequationlyapunovpropertiessolutionanalysisbrieflycomputational
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Decay properties of the solution $X$ to the Lyapunov matrix equation $AX + X A^T = D$ are investigated. Their exploitation in the understanding of equation matrix properties, and in the development of new numerical solution strategies when $D$ is not low rank but possibly sparse is also briefly discussed.
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