An algorithm for solving generalized algebraic Lyapunov equations in Hilbert space, applications to boundary value problems

DOI10.1017/S0013091500006611zbMath0611.47012OpenAlexW2140275673MaRDI QIDQ3752130

Lucas Jodar

Publication date: 1988

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500006611

zbMATH Keywords

Riesz-Dunford functional calculusalgorithm for solving generalized algebraic Lyapunov operator equations in Hilbert spacesequences of operator valued functionssolutions of boundary value problems related to operator differential equations of Lyapunov type

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) General theory of ordinary differential operators (47E05) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (5)

Shift-Splitting Iteration Method and Its Variants for Solving Continuous Sylvester Equations ⋮ On modified HSS iteration methods for continuous Sylvester equations ⋮ A generalization of the Hermitian and skew-Hermitian splitting iteration method for solving Sylvester equations ⋮ Preconditioned HSS iteration method and its non-alternating variant for continuous Sylvester equations ⋮ Autonomous nonlinear boundary-value problems for the Lyapunov equation in the Hilbert space

Cites Work

• Perturbation of spectral subspaces and solution of linear operator equations
• Beiträge zur Störungstheorie der Spektralzerlegung
• Solving Linear Operator Equations
• On the Operator Equation TX - XV = A
• On the Operator Equation AX + XB = Q
• Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix

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