Piecewise interpolants on matrix Lie groups

DOI10.1016/S0893-9659(00)00158-0zbMath0974.22008OpenAlexW2074582742WikidataQ115338643 ScholiaQ115338643MaRDI QIDQ5938923

Tiziano Politi, C. Mastroserio

Publication date: 7 August 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(00)00158-0

zbMATH Keywords

matrix Lie groupsnumerical methods on Lie groupsPadé mapspiecewise interpolants

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Algorithms for approximation of functions (65D15)

Cites Work

• The Cayley transform in the numerical solution of unitary differential systems
• Modeling and solution of some mechanical problems on Lie groups
• On real logarithms of nearby matrices and structured matrix interpolation
• The Newton iteration on Lie groups
• Applications of the Cayley approach in the numerical solution of matrix differential systems on quadratic groups
• Polynomial and rational matrix interpolation: theory and control applications
• Improving the Efficiency of Matrix Operations in the Numerical Solution of Stiff Ordinary Differential Equations
• On the solution of linear differential equations in Lie groups

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