Estimates for the inverse of tridiagonal matrices arising in boundary- value problems

DOI10.1016/0024-3795(86)90232-6zbMath0592.65012OpenAlexW2005189912MaRDI QIDQ1075737

Mitchell D. Smooke, Robert M. M. Mattheij

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90232-6

zbMATH Keywords

convergenceNewton's methodinversenon-uniform gridsdiscrete Jacobian matrices

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Bounds for the solutions of a class of tridiagonal linear systems, On the solution of nonlinear two-point boundary value problems on successively refined grids, On computing of block ILU preconditioner for block tridiagonal systems, Tridiagonal matrices: Invertibility and conditioning, Convergence in the maximum norm of ADI-type methods for parabolic problems, An analytical approach: explicit inverses of periodic tridiagonal matrices, Explicit formula for the inverse of a tridiagonal matrix by backward continued fractions, Estimates for the inverse elements of tridiagonal matrices, Improved bounds for the inverses of diagonally dominant tridiagonal matrices, The inverse of a tridiagonal matrix, INVERSION FORMULAS FOR TRIDIAGONAL MATRICES WITH APPLICATIONS TO BOUNDARY VALUE PROBLEMS^*, Some improvements for two-sided bounds on the inverse of diagonally dominant tridiagonal matrices, On the inverses of general tridiagonal matrices, INVERSES AND EIGENPAIRS OF TRIDIAGONAL TOEPLITZ MATRIX WITH OPPOSITE-BORDERED ROWS, Upper and lower bounds for inverse elements of finite and infinite tridiagonal matrices

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