Fast inversion algorithms for a class of structured operator matrices.

DOI10.1016/S0024-3795(03)00475-0zbMath1033.65032MaRDI QIDQ1406290

Israel Gohberg, Yu.S.Eidel'man

Publication date: 9 September 2003

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

zbMATH Keywords

complexitystabilityintegral equationnumerical examplesHilbert spacesdifferential equationboundary value problemquadrature methodsshooting methodlinear bounded operatorslinear algebraic equationsoperator matricesfast inversion algorithmsstructural matricesdiagonal inversion methodmethod of consecutive inversion

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Fredholm integral equations (45B05) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (4)

Fast QR factorization of Cauchy-like matrices ⋮ Neville elimination for rank-structured matrices ⋮ Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations ⋮ A unitary Hessenberg \(QR\)-based algorithm via semiseparable matrices

Cites Work

• Time varying linear systems with boundary conditions and integral operators. I: The transfer operator and its properties
• Integral equation method for coupled Schrödinger equations
• Integral equation method for the continuous spectrum radial Schrödinger equation
• Fast inversion algorithms for diagonal plus semiseparable matrices
• Linear complexity algorithm for semiseparable matrices
• Algorithms for inversion of diagonal plus semiseparable operator matrices
• On the numerical solution of two-point boundary value problems
• On the numerical solution of two‐point boundary value problems II
• A Fast Adaptive Numerical Method for Stiff Two-Point Boundary Value Problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Fast inversion algorithms for a class of structured operator matrices.