Tridiagonal matrices: Invertibility and conditioning

DOI10.1016/0024-3795(92)90273-DzbMath0819.15006MaRDI QIDQ1185055

Luigi Brugnano, Donato Trigiante

Publication date: 28 June 1992

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

zbMATH Keywords

condition numberconditioninginvertibilitytridiagonal matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items (18)

Bounds for the solutions of a class of tridiagonal linear systems ⋮ The role of difference equations in numerical analysis ⋮ Two-step boundary value methods in the solution of ODEs ⋮ Numerical solution of singular perturbation problems ⋮ The conditioning of Toeplitz band matrices ⋮ Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations ⋮ Tridiagonal matrices: Invertibility and conditioning ⋮ A new spectral method for a class of linear boundary value problems ⋮ A class of symmetric and non-symmetric band matrices via binomial coefficients ⋮ Numerical methods for second order singular perturbation problems ⋮ A parallel direct method for solving initial value problems for ordinary differential equations ⋮ Boundary value methods and BV-stability in the solution of initial value problems ⋮ Tridiagonal splittings in the conditioning and parallel solution of banded linear systems ⋮ NUMERICAL STABILITY OF A HYBRID METHOD FOR PRICING OPTIONS ⋮ Improved SOR method with orderings and direct methods ⋮ Boundary conditions and conditioning in the solution of discrete BVPs ⋮ Stability of some boundary value methods for the solution of initial value problems ⋮ Stability properties of some boundary value methods

Cites Work

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• Estimates for the inverse of tridiagonal matrices arising in boundary- value problems
• Inversion of tridiagonal matrices
• Tridiagonal matrices: Invertibility and conditioning
• Theory of difference equations: Numerical methods and applications
• Sulla determinazione della inversa delle matrici tridiagonali e tridiagonali a blicchi
• Stability and spectral properties of incomplete factorization
• Efficient Algorithms for Computing the Condition Number of a Tridiagonal Matrix
• Accelerated Iterative Methods for the Solution of Tridiagonal Systems on Parallel Computers
• Methods of inverting tridiagonal matrices
• Computational Aspects of Three-Term Recurrence Relations
• Numerical solution of second-order linear difference equations
• Properties of Some Tridiagonal Matrices and Their Application to Boundary Value Problems

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