The numerical calculation of the eigenvalues and eigenvectors of a symmetric sparse quindiagonal matrix

DOI10.1080/00207167908803165zbMath0405.65014OpenAlexW1966722566MaRDI QIDQ4191504

C. C. Rick, David J. Evans

Publication date: 1979

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207167908803165

zbMATH Keywords

EigenvaluesEigenvectorsNumerical ResultsBisection AlgorithmElliptic Partial Differential EquationInverse IterationSparse Symmetric Quindiagonal MatrixStorage and Speed RequirementsSturm Sequence

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Boundary value problems for second-order elliptic equations (35J25) Numerical computation of solutions to single equations (65H05) Finite difference methods for boundary value problems involving PDEs (65N06) Real polynomials: location of zeros (26C10)

Related Items (3)

A modified bisection algorithm for the determination of the eigenvalues of a symmetric tridiagonal matrix ⋮ A strategy utilising partial sturm sequences for determining the eigenvalues of a symmetric matrix ⋮ An improved bisection algorithm

Cites Work

• Unnamed Item
• Solution of symmetric and unsymmetric band equations and the calculation of eigenvectors of band matrices
• A recursive algorithm for determining the eigenvalues of a quindiagonal matrix
• Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection

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