Numerical solution of integral equations, fast algorithms and Krein- Sobolev equation

DOI10.1007/BF01389711zbMath0589.65087OpenAlexW1997404279MaRDI QIDQ1074330

Israel Gohberg, Israel Koltracht

Publication date: 1985

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133033

zbMATH Keywords

stabilityfast algorithmsresolventspiecewisecontinuous kernelsdisplacement like kernelsHankel and composite kernelsKrein-Sobolev equationsemiseparable kernels

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items

Efficient solution of linear systems of equations with recursive structure, Second order parallel algorithms for Fredholm integral equations with continuous displacement kernels, Inversion of structured operators, Applications of de Branges Spaces of Vector-Valued Functions, Efficient algorithm for Toeplitz plus Hankel matrices, Krein systems and canonical systems on a finite interval: Accelerants with a jump discontinuity at the origin and continuous potentials, An inverse problem for a class of lacunary canonical systems with diagonal Hamiltonians, Second order parallel algorithms for piecewise smooth displacement kernels, Operator identities corresponding to inverse problems for Dirac systems, Trace formulas for a class of vector-valued Wiener-Hopf like operators. I, Linear complexity parallel algorithms for linear systems of equations with recursive structure, Direct and inverse asymptotic scattering problems for Dirac--Krein systems, On the numerical solution of integral equations with piecewise continuous displacement kernels, \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. IV: Direct and inverse bitangential input scattering problems, \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. V: The inverse input scattering problem for Wiener class and rational \(p\times q\) input scattering matrices, Linear complexity algorithms for semiseparable matrices

Cites Work

• Extensions of kernels of Fredholm operators
• The choice of signal-process models in Kalman-Bucy filtering
• Functional Equations in the Theory of Dynamic Programming--VII. A Partial Differential Equation for the Fredholm Resolvent
• Efficient solution of a Toeplitz-plus-Hankel coefficient matrix system of equations
• The Factorization and Representation of Operators in the Algebra Generated by Toeplitz Operators
• Fredholm resolvents, Wiener-Hopf equations, and Riccati differential equations
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