Quasi-Laguerre Iteration in Solving Symmetric Tridiagonal Eigenvalue Problems

Qiang Du, Ming Jin, T. Y. Li, Zhonggang Zeng

Type: Article

Publication Date: 1996-11-01

Citations: 21

DOI: https://doi.org/10.1137/s1064827594273225

View Publication

Locations

SIAM Journal on Scientific Computing - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	The quasi-Laguerre iteration	1997	Qiang Du Ming Jin Taiyong Li Zhonggang Zeng
+	On the application of Laguerre's method to the polynomial eigenvalue problem	2017	Thomas R. Cameron Nikolas I. Steckley
+	The Laguerre Iteration in Solving the Symmetric Tridiagonal Eigenproblem, Revisited	1994	T. Y. Li Zhonggang Zeng
+ PDF Chat	Implementing the parallel quasi-Laguerre's algorithm for symmetric tridiagonal eigenproblems	1996	T.-Y. Li Xiulin Zou
+	Implementing the Parallel Quasi-Laguerre's Algorithm for Symmetric Tridiagonal Eigenproblems	1999	T. Y. Li Xiulin Zou
+	Improved Laguerre Spectral Methods with Less Round-off Errors and Better Stability	2022	Sheng‐He Huang Haijun Yu
+	LR algorithm with Laguerre shift for symmetric tridiagonal matrices	1972	Janez Grad
+ PDF Chat	On the Dynamics of Laguerre’s Iteration Method for Finding the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math>th Roots of Unity	2014	Pavel Bělı́k HeeChan Kang A. P. Walsh Emma Winegar
+ PDF Chat	On optimal parameter of Laguerre's family of zero-finding methods	2018	L.D. Petković Miodrag S. Petković Beny Neta
+	The guaranteed convergence of Laguerre-like method	2003	Marko D. Petković L.D. Petković Sonja Ilić
+	A parallel modified quasi-laguerre algorithm for symmetric tridiagonal eigenproblems	2001	Li Gui
+ PDF Chat	New Numerical Algorithm for Deflation of Infinite and Zero Eigenvalues and Full Solution of Quadratic Eigenvalue Problems	2020	Zlatko Drmač Ivana Šain Glibić
+	New numerical algorithm for deflation of infinite and zero eigenvalues and full solution of quadratic eigenvalue problems	2019	Zlatko Drmač Ivana Šain Glibić
+	New numerical algorithm for deflation of infinite and zero eigenvalues and full solution of quadratic eigenvalue problems	2019	Zlatko Drmač Ivana Šain Glibić
+	Analysis of Laguerre's method applied to find the roots of unity	2014	Emma Winegar HeeChan Kang A. P. Walsh Pavel Bělı́k
+	Laguerre polynomials	1979	V.K. Srinivasan
+	Numerical Methods for the Tridiagonal Hyperbolic Quadratic Eigenvalue Problem	2006	Bor Plestenjak
+	Generalizations of Laguerre’s Method: Higher Order Methods	1981	Leslie V. Foster
+ PDF Chat	A fast method for solving a block tridiagonal quasi-Toeplitz linear system	2020	Skander Belhaj Hcini Fahd Yulin Zhang
+ PDF Chat	Efficient algorithm for solving tridiagonal quasi-Toeplitz linear systems	2022	Skander Belhaj Hcini Fahd Yulin Zhang

Works That Cite This (13)

Action	Title	Year	Authors
+	Exploiting the parallel divide-and-conquer method to solve the symmetric tridiagonal eigenproblem	2002	José M. Badía Antonio M. Vidal
+ PDF Chat	Implementing the parallel quasi-Laguerre's algorithm for symmetric tridiagonal eigenproblems	1996	T.-Y. Li Xiulin Zou
+ PDF Chat	The quasi-Laguerre iteration	1997	Qiang Du Ming Jin Taiyong Li Zhonggang Zeng
+	Complexity theory and numerical analysis	1997	Steve Smale
+	The Homotopy Continuation Algorithm for the Real Nonsymmetric Eigenproblem: Further Development and Implementation	1999	Taiyong Li Zhonggang Zeng
+	Root-Finding with Eigen-Solving	2007	Victor Y. Pan Brian J. Murphy Rhys Eric Rosholt Dmitriy Ivolgin Yuqing Tang Xiaodong Yan Xinmao Wang
+	TR-2012015: Randomized Matrix Methods for Real and Complex Polynomial Root-Finding	2012	Victor Y. Pan Guoliang Qian Ai-Long Zheng
+	Real root-finding	2007	Victor Y. Pan Brian J. Murphy Rhys Eric Rosholt Guoliang Qian Yuqing Tang
+	An Optimization Framework for Polynomial Zerofinders	2006	A. Melman Bill Gragg
+	TR-2014007: Real Polynomial Root-Finding by Means of Matrix and Polynomial Iterations	2014	Victor Y. Pan

Works Cited by This (4)

Action	Title	Year	Authors
+ PDF Chat	The quasi-Laguerre iteration	1997	Qiang Du Ming Jin Taiyong Li Zhonggang Zeng
+	The Laguerre Iteration in Solving the Symmetric Tridiagonal Eigenproblem, Revisited	1994	T. Y. Li Zhonggang Zeng
+	A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem	1987	Jack Dongarra D. C. Sorensen
+	On the Orthogonality of Eigenvectors Computed by Divide-and-Conquer Techniques	1991	D. C. Sorensen Ping Tang