SOLVEBLOK: A Package for Solving Almost Block Diagonal Linear Systems

DOI10.1145/355873.355880zbMath0434.65013OpenAlexW2072541871WikidataQ127516660 ScholiaQ127516660MaRDI QIDQ3873388

R. Weiss, Carl De Boor

Publication date: 1980

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/355873.355880

zbMATH Keywords

spline approximationGaussian eliminationLU decompositionalmost block diagonal systemsblock diagonal formbandmatrix

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Factorization of matrices (15A23) Numerical methods for initial value problems involving ordinary differential equations (65L05) Direct numerical methods for linear systems and matrix inversion (65F05) Software, source code, etc. for problems pertaining to linear algebra (15-04) Linear equations (linear algebraic aspects) (15A06) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

Related Items (11)

Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations ⋮ CALCULATION OF THE SMOOTHING SPLINE WITH WEIGHTED ROUGHNESS MEASURE ⋮ On the numerical solution of partial differential equations defined on domains limited by curves using segmented forms of the tau-lines method ⋮ Codes for almost block diagonal systems ⋮ Linear system solvers for boundary value ODEs ⋮ Parallel treatment of block-bidiagonal matrices in the solution of ordinary differential boundary value problems ⋮ On solving almost block diagonal (staircase) linear systems ⋮ Stability of Block $LU$-Decompositions of Matrices Arising from BVP ⋮ Almost block diagonal linear systems: sequential and parallel solution techniques, and applications ⋮ SOLVEBLOK ⋮ The stability of LU-decompositions of block tridiagonal matrices

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