A computational algorithm for solving nearly penta-diagonal linear systems

DOI10.1016/j.amc.2008.05.012zbMath1157.65340OpenAlexW2074673816MaRDI QIDQ2378972

Shirley Abelman, Serge N. Neossi Nguetchue

Publication date: 14 January 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.05.012

zbMATH Keywords

numerical examplelinear systemsdeterminantsnearly penta-diagonal matricescomputer algebra systems (CAS)

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Symbolic computation and algebraic computation (68W30) Numerical computation of determinants (65F40) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (10)

Symbolic algorithm for solving cyclic penta-diagonal linear systems ⋮ A new algorithm for solving nearly penta-diagonal Toeplitz linear systems ⋮ On the determinant evaluation of quasi penta-diagonal matrices and quasi penta-diagonal Toeplitz matrices ⋮ Inversion of general cyclic heptadiagonal matrices ⋮ A high-order weighted compact high resolution scheme with boundary closures for compressible turbulent flows with shocks ⋮ A fast numerical algorithm for solving nearly penta-diagonal linear systems ⋮ Symbolic algorithm for inverting cyclic pentadiagonal matrices recursively - derivation and implementation ⋮ A note on solving nearly penta-diagonal linear systems ⋮ Boundary value problems for second order linear difference equations: application to the computation of the inverse of generalized Jacobi matrices ⋮ A novel algorithm and its parallelization for solving nearly penta-diagonal linear systems

Cites Work

• A computational algorithm for solving periodic penta-diagonal linear systems
• Thin-film flow of a power-law liquid falling down an inclined plate
• Nonlinear evolution of nonuniformly heated falling liquid films
• Long-wave instabilities of non-uniformly heated falling films

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