Rational approximate solutions and error bounds for the nonsymmetric Riccati matrix differential equation

DOI10.1016/0096-3003(92)90008-OzbMath0768.65038OpenAlexW2080132177WikidataQ115363944 ScholiaQ115363944MaRDI QIDQ1194392

Lucas Jodar

Publication date: 27 September 1992

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(92)90008-o

zbMATH Keywords

error boundsmatrix exponentialfirst order systemmatrix Riccati differential equationsrational approximate solutions

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Nonlinear ordinary differential equations and systems (34A34) Synthesis problems (93B50) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (2)

Accurate numerical integration of stiff differential Riccati equations ⋮ Non-blow-up conditions for Riccati-type matrix differential and difference equations

Cites Work

• Numerical integration of the differential matrix Riccati equation
• The Riccati Transformation in the Solution of Boundary Value Problems
• A Riccati Transformation Method for Solving Linear BVP<scp>s</scp>. I: Theoretical Aspects
• Nineteen Dubious Ways to Compute the Exponential of a Matrix
• An Explicit Estimate on the Norm of the Inverse of a Matrix
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