Structure preserving piecewise polynomial interpolation for definite matrices

DOI10.1016/0024-3795(94)90182-1zbMath0807.15019OpenAlexW2023652622WikidataQ126594617 ScholiaQ126594617MaRDI QIDQ1329922

Luca Dieci

Publication date: 15 August 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90182-1

zbMATH Keywords

polynomial interpolationHermitian Lyapunov and Riccati differential equationssmooth Hermitian positive (semi)definite matrix function

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Matrices over function rings in one or more variables (15A54)

Uses Software

• pchip

Cites Work

• Unnamed Item
• Piecewise monotone spline interpolation
• Initial value methods for boundary value problems. Theory and application of invariant imbedding
• Monotone Piecewise Cubic Interpolation
• Numerical Integration of the Differential Riccati Equation and Some Related Issues
• Optimal state estimation in high noise
• Monotoneity Properties of Solutions of Hermitian Riccati Matrix Differential Equations

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