Iterative methods applied to matrix equations found in calculating spheroidal functions

DOI10.1006/jcph.2000.6448zbMath0964.65019OpenAlexW2095094778MaRDI QIDQ1976848

Yanyan Li

Publication date: 23 November 2000

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.2000.6448

zbMATH Keywords

Hilbert spaceiterative methodLegendre functionseigenvalue problemspower methodexpansion of periodic spheroidal functions

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10) Computation of special functions and constants, construction of tables (65D20) Spherical harmonics (33C55) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Cites Work

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• New techniques for the solution of linear systems by iterative methods
• On the preconditioned Jacobi method for solving large linear systems
• Some convergence results related to the JOR iterative method for symmetric, positive-definite matrices
• On the convergence rate of iterative methods for the solution of positive definite linear equations
• A two-step Jacobi-type iterative method
• Parallel algorithms for the solution of certain large sparse linear systems
• The modified preconditioned jacobi method for iterative solution of linear systems of equations

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