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Symmetric Matrix Eigenvalue Techniques (CROSBI ID 32535)

Prilog u knjizi | izvorni znanstveni rad

Slapničar, Ivan Symmetric Matrix Eigenvalue Techniques // CRC Handbook of Linear Algebra / Hogben, Leslie (ur.).: Chapman & Hall ; CRC Press, 2007. str. 42:1-42:23

Podaci o odgovornosti

Slapničar, Ivan

engleski

Symmetric Matrix Eigenvalue Techniques

The article describes symmetric matrix eigenvalue techniques: basic methods (power method, inverse iteration, orthogonal iteration and QR iteration), tridiagonalization and implicitly shifted QR method, divide-and-conquer method, bisection and inverse iteration, the method of multiple relatively robust representations, Jacobi method and Lanczos method. For each method we give algorithms, basic theoretical facts and examples. The article concludes by giving comparison of the methods which are implemented in LAPack.

symmetric matrix, eigenvalues, eigenvectors, power method, inverse iteration method, bisection method, tridiagonalization, QR iteration, divide and conquer method, method of relatively robust representations, Jacobi method, Lanczos method

Knjiga CRC Handbook of Linear Algebra daje state-of-the-art pregled linearne algebre, njenih primjena, te numeričke linearne algebre. Radovi u ovoj knjizi su isključivo po pozivu urednika.

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o prilogu

42:1-42:23.

objavljeno

Podaci o knjizi

CRC Handbook of Linear Algebra

Hogben, Leslie

Chapman & Hall ; CRC Press

2007.

1584885106

Povezanost rada

Matematika