Computation of the Eigenelements of a matrix by the ε-algorithm

Claude Brezinski

Type: Article

Publication Date: 1975-01-01

Citations: 24

DOI: https://doi.org/10.1016/0024-3795(75)90113-5

View Publication

Locations

Linear Algebra and its Applications - View

Similar Works

Action	Title	Year	Authors
+	An overview on the eigenvalue computation for matrices	2011	Mohan K. Kadalbajoo Ankit Gupta
+	Analysis of the largest eigenvalue	2004
+ PDF Chat	The Quadratic Eigenvalue Problem	2001	Françoise Tisseur Karl Meerbergen
+	Numerical Computation of the Complex Eigenvalues of a Matrix by solving a Square System of Equations	2015	Richard Ọlatokunbọ Akinọla A. Spence
+	Numerical Methods for Eigenvalue Problems	2012	Steffen Börm Christian Mehl
+	Approximation of Eigenvalues and Eigenvectors	2006	Alfio Quarteroni Riccardo Sacco Fausto Saleri
+	Eigenvalue Algorithms	2011
+ PDF Chat	A Power-like Method for Computing the Dominant Eigenpairs of Large Scale Real Skew-Symmetric Matrices	2024	Qingqing Zheng
+	Algorithms for the Eigenvalue Problem	2015
+	Algorithms and perturbation theory for matrix eigenvalue problems and the singular value decomposition	2011	Roland W. Freund Yuji Nakatsukasa
+	Formulated algorithm for computing dominant eigenvalue and the corresponding eigenvector	2013	Igobi Dodi Kanu
+	Randomized algorithms for Generalized Hermitian Eigenvalue Problems with application to computing Karhunen-Loève expansion	2013	Arvind K. Saibaba Jonghyun Lee Peter K. Kitanidis
+	Accurate computations of eigenvalues of quasi-Cauchy-Vandermonde matrices	2021	Zhao Yang
+	Practical Approaches to Approximate Dominant Eigenvalues in Large Matrices	2024	Frank-Michael Schleif
+	Approximation of Eigenvalues and Eigenvectors	2006	Alfio Quarteroni Riccardo Sacco Fausto Saleri
+	Eigenvalues of a symmetric tridiagonal matrix: A divide-and-conquer approach	1986	A. S. Krishnakumar M. Morf
+	Recursion formulae for the characteristic polynomial of symmetric banded matrices	2008	Werner Kratz Markus Tentler
+	Recursion formulae for the characteristic polynomial of symmetric banded matrices	2007	Werner Kratz Markus Tentler
+	Computing eigenvalues of quasi-generalized Vandermonde matrices to high relative accuracy	2021	Zhao Yang
+	ITERATIVE METHODS FOR COMPUTING EIGENVALUES AND EIGENVECTORS	2011	Maysum Panju

Works That Cite This (17)

Action	Title	Year	Authors
+	Degeneracies of generalized inverse, vector-valued padé approximants	1989	P. R. Graves-Morris C. D. Jenkins
+ PDF Chat	Dynamically accelerating the power iteration with momentum	2024	Christian D. Austin Sara Pollock Yunrong Zhu
+	Convergence and stability analyses for some vector extrapolation methods in the presence of defective iteration matrices	1988	Avram Sidi Jacob Bridger
+	On the Vector-Valued Padé Approximants and the Vector ε-Algorithm	1994	A. Salam
+	On the Algebraic Foundations of the Vector є-Algorithm	1995	David E. Roberts
+	Quotient-difference type generalizations of the power method and their analysis	1990	Avram Sidi William F. Ford
+	The simplified topological $\varepsilon$--algorithms for accelerating sequences in a vector space	2014	Claude Brezinski Michela Redivo‐Zaglia
+	Extrapolation Methods for Vector Sequences	1987	David A. Smith William F. Ford Avram Sidi
+	Bibliography	1991
+ PDF Chat	Numerical Comparisons of Nonlinear Convergence Accelerators	1982	David A. Smith William F. Ford

Works Cited by This (10)

Action	Title	Year	Authors
+	<i>Analysis of Numerical Methods</i>	1967	Eugene Isaacson Herbert B. Keller George H. Weiss
+ PDF Chat	The solution of systems of equations using the 𝜖-algorithm, and an application to boundary-value problems	1974	Claude Brezinski Alain C. Rieu
+	Vector continued fractions	1968	P. Wynn
+ PDF Chat	On the solution of systems of equations by the epsilon algorithm of Wynn	1972	Eckart W. Gekeler
+ PDF Chat	Acceleration techniques for iterated vector and matrix problems	1962	P. Wynn
+	Some results in the theory of the vector ε-algorithm	1974	Claude Brezinski
+	On the Convergence and Stability of the Epsilon Algorithm	1966	P. Wynn
+	A note on the ε-algorithm	1971	J. B. McLeod
+	Non‐linear Transformations of Divergent and Slowly Convergent Sequences	1955	Daniel Shanks
+	XXV.—On Bernoulli's Numerical Solution of Algebraic Equations	1927	A. C. Aitken