Symbolic algorithm for solving comrade linear systems based on a modified stair-diagonal approach

DOI10.1016/j.aml.2012.10.019zbMath1308.65041OpenAlexW1969833819MaRDI QIDQ2339092

A. A. Karawia

Publication date: 30 March 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.10.019

zbMATH Keywords

tridiagonal matricescomrade matricesSherman-Morrison-Woodbury formulacomputer algebra systems (CAS)

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (4)

A novel elementary algorithm for solving comrade linear systems ⋮ A generalized symbolic Thomas algorithm for the solution of opposite-bordered tridiagonal linear systems ⋮ On the inverse and determinant of general bordered tridiagonal matrices ⋮ On linear-time solvers for comrade linear systems

Uses Software

• Maple
• Mathematica
• Matlab

Cites Work

• Unnamed Item
• Division of generalized polynomials using the comrade matrix
• A new modification of the Rojo method for solving symmetric circulant five-diagonal systems of linear equations
• Two algorithms for solving comrade linear systems
• Numerical algorithms for solving comrade linear systems based on tridiagonal solvers
• Computing the Greatest Common Divisor of Polynomials Using the Comrade Matrix
• Applications of the comrade matrix to linear multivariable systems theory

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