Optimal Alternating Direction Implicit Parameters for Nonsymmetric Systems of Linear Equations

Gerhard Starke

Type: Article

Publication Date: 1991-10-01

Citations: 51

DOI: https://doi.org/10.1137/0728074

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Locations

SIAM Journal on Numerical Analysis - View

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Works That Cite This (24)

Action	Title	Year	Authors
+	SOR for AX−XB=C	1991	Gerhard Starke Wilhelm Niethammer
+	Near-circularity for the rational Zolotarev problem in the complex plane	1992	Gerhard Starke
+	Preconditioned Krylov Subspace Methods for Lyapunov Matrix Equations	1995	Marlis Hochbruck Gerhard Starke
+	Fejér-Walsh points for rational functions and their use in the ADI iterative method	1993	Gerhard Starke
+	Iterative methods for X − AXB = C	1997	Daniela Calvetti N. Levenberg Lothar Reichel
+	Fields of values and the ADI method for non-normal matrices	1993	Gerhard Starke
+	A generalized ADI iterative method	1993	N. Levenberg Lothar Reichel
+	On the Parameter Selection Problem in the Newton-ADI Iteration for Large Scale Riccati Equations	2007	Peter Benner Hermann Mena Jens Saak
+	Optimal ray sequences of rational functions connected with the Zolotarev problem	1994	A. L. Levin Edward B. Saff
+	Optimal Rational Functions for the Generalized Zolotarev Problem in the Complex Plane	2000	B. Le Bailly J.-P. Thiran

Works Cited by This (11)

Action	Title	Year	Authors
+	An Analysis of Block Successive Overrelaxation for a Class of Matrices with Complex Spectra	1988	R. C. Y. Chin Thomas A. Manteuffel
+	ZOLOTAREV PROBLEMS CONNECTED WITH RATIONAL FUNCTIONS	1969	A A Gončar
+	SOR for AX−XB=C	1991	Gerhard Starke Wilhelm Niethammer
+	On a Zolotarev problem in the method of alternating directions	1977	В. И. Лебедев
+	On interpolation by rational functions	1969	Thomas Bagby
+	Hyperbolic capacity and interpolating rational functions II	1966	J. L. Walsh Helen G. Russell
+	Iterative Solution of Elliptic Systems and Applications to the Neutron Diffusion Equations of Reactor Physics	1967	Olof B. Widlund Eugene L. Wachspress
+	Alternating Direction Implicit Iteration for Systems with Complex Spectra	1991	Nancy S. Ellner Eugene L. Wachspress
+	Applications of Transformation Theory: A Legacy from Zolotarev (1847–1878)	1984	John A. Todd
+	Hyperbolic capacity and interpolating rational functions	1965	J. L. Walsh