Exact and approximate solutions of some operator equations based on the Cayley transform

DOI10.1016/S0024-3795(98)10050-2zbMath0938.47013OpenAlexW2016327333MaRDI QIDQ1809091

Volodymyr L. Makarov, Ivan P. Gavrilyuk

Publication date: 1998

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(98)10050-2

zbMATH Keywords

approximationCayley transformquadratic operator equation

Mathematics Subject Classification ID

Equations involving linear operators, with operator unknowns (47A62)

Related Items

The Cayley Transform as a Time Discretization Scheme ⋮ Quasi-optimal rank-structured approximation to multidimensional parabolic problems by Cayley transform and Chebyshev interpolation ⋮ Topological analysis of eigenvalues in engineering computations ⋮ Approximations of the Mittag-Leffler operator function with exponential accuracy and their applications to solving evolutionary equations with fractional time derivative

Uses Software

• Algorithm 432

Cites Work

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• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• Explicit Solutions of Linear Matrix Equations
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