Eigenvectors of the Successive Over-Relaxation Process, and its Combination with Chebyshev Semi-Iteration | Zendy

Garry J. Tee | Zendy

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Eigenvectors of the Successive Over-Relaxation Process, and its Combination with Chebyshev Semi-Iteration

Author(s) -

Garry J. Tee

Publication year - 1963

Publication title -

the computer journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.319

H-Index - 64

eISSN - 1460-2067

pISSN - 0010-4620

DOI - 10.1093/comjnl/6.3.250

Subject(s) - chebyshev filter , eigenvalues and eigenvectors , chebyshev iteration , convergence (economics) , mathematics , chebyshev polynomials , process (computing) , relaxation (psychology) , iterative and incremental development , iterative method , mathematical proof , decomposition , mathematical optimization , algorithm , mathematical analysis , computer science , geometry , physics , psychology , social psychology , software engineering , ecology , quantum mechanics , economics , biology , economic growth , operating system

summary:In the paper, the system of $n$ linear algebraic equations $Ax=b$ with 2-cyclic matrix is considered. Methods are derived which converge to the solution $x$ faster than the optimal successive overrelaxation iterative method

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