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Pregled bibliografske jedinice broj: 653499

Symmetric matrix eigenvalue techniques

Slapničar, Ivan
Symmetric matrix eigenvalue techniques // Handbook of linear algebra / Hogben, Leslie (ur.).
Boca Raton : London : New York: Chapman & Hall ; CRC Press, 2013. str. 55-1

CROSBI ID: 653499 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Symmetric matrix eigenvalue techniques

Autori
Slapničar, Ivan

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, pregledni

Knjiga
Handbook of linear algebra

Urednik/ci
Hogben, Leslie

Izdavač
Chapman & Hall ; CRC Press

Grad
Boca Raton : London : New York

Godina
2013

Raspon stranica
55-1

ISBN
9781466507289

Ključne riječi
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

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
023-0372783-1289 - Točni i brzi matrični algoritmi i primjene (Slapničar, Ivan, MZOS ) ( CroRIS)

Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split

Profili:

Avatar Url Ivan Slapničar (autor)

www.crcpress.com

Citiraj ovu publikaciju:

Slapničar, Ivan
Symmetric matrix eigenvalue techniques // Handbook of linear algebra / Hogben, Leslie (ur.).
Boca Raton : London : New York: Chapman & Hall ; CRC Press, 2013. str. 55-1
Slapničar, I. (2013) Symmetric matrix eigenvalue techniques. U: Hogben, L. (ur.) Handbook of linear algebra. Boca Raton : London : New York, Chapman & Hall ; CRC Press, str. 55-1.
@inbook{inbook, author = {Slapni\v{c}ar, Ivan}, editor = {Hogben, L.}, year = {2013}, pages = {55-1-55-23}, keywords = {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}, isbn = {9781466507289}, title = {Symmetric matrix eigenvalue techniques}, keyword = {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}, publisher = {Chapman and Hall ; CRC Press}, publisherplace = {Boca Raton : London : New York} }
@inbook{inbook, author = {Slapni\v{c}ar, Ivan}, editor = {Hogben, L.}, year = {2013}, pages = {55-1-55-23}, keywords = {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}, isbn = {9781466507289}, title = {Symmetric matrix eigenvalue techniques}, keyword = {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}, publisher = {Chapman and Hall ; CRC Press}, publisherplace = {Boca Raton : London : New York} }

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