Extended Application of Alternating Direction Implicit Iteration Model Problem Theory

Eugene L. Wachspress

doi:10.1137/0111073

Extended Application of Alternating Direction Implicit Iteration Model Problem Theory

Journal of the Society for Industrial and Applied Mathematics ◽

10.1137/0111073 ◽

1963 ◽

Vol 11 (4) ◽

pp. 994-1016 ◽

Cited By ~ 66

Author(s):

Eugene L. Wachspress

Keyword(s):

Model Problem ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Extended Application ◽

Iteration Model ◽

Implicit Iteration

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Optimum Alternating-Direction-Implicit Iteration Parameters for a Model Problem

Journal of the Society for Industrial and Applied Mathematics ◽

10.1137/0110025 ◽

1962 ◽

Vol 10 (2) ◽

pp. 339-350 ◽

Cited By ~ 49

Author(s):

E. L. Wachspress

Keyword(s):

Model Problem ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Iteration Parameters ◽

Implicit Iteration

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Alternating Direction Implicit Iteration for Systems with Complex Spectra

SIAM Journal on Numerical Analysis ◽

10.1137/0728045 ◽

1991 ◽

Vol 28 (3) ◽

pp. 859-870 ◽

Cited By ~ 42

Author(s):

Nancy S. Ellner ◽

Eugene L. Wachspress

Keyword(s):

Alternating Direction Implicit ◽

Alternating Direction ◽

Implicit Iteration

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Modified alternating direction-implicit iteration method for linear systems from the incompressible Navier–Stokes equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2011.622375 ◽

2011 ◽

Vol 88 (17) ◽

pp. 3762-3779 ◽

Cited By ~ 1

Author(s):

Yu-Hong Ran ◽

Li Yuan

Keyword(s):

Linear Systems ◽

Iteration Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Implicit Iteration

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Fast Positive-Real Balanced Truncation Via Quadratic Alternating Direction Implicit Iteration

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems ◽

10.1109/tcad.2007.895617 ◽

2007 ◽

Vol 26 (9) ◽

pp. 1725-1731 ◽

Cited By ~ 14

Author(s):

Ngai Wong ◽

Venkataramanan Balakrishnan

Keyword(s):

Balanced Truncation ◽

Positive Real ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Implicit Iteration

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An Optimization Approach to the Shift Selection Problem in Alternating Direction Implicit Iteration

2010 Second International Conference on Computer Modeling and Simulation ◽

10.1109/iccms.2010.216 ◽

2010 ◽

Cited By ~ 1

Author(s):

Zhang Geng

Keyword(s):

Selection Problem ◽

Optimization Approach ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Implicit Iteration

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Quadratic alternating direction implicit iteration for the fast solution of algebraic Riccati equations

2005 International Symposium on Intelligent Signal Processing and Communication Systems ◽

10.1109/ispacs.2005.1595424 ◽

2005 ◽

Cited By ~ 1

Author(s):

Ngai Wong ◽

V. Balakrishnan

Keyword(s):

Riccati Equations ◽

Alternating Direction Implicit ◽

Algebraic Riccati Equations ◽

Alternating Direction ◽

Fast Solution ◽

Implicit Iteration

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Solution of lyapunov equations by alternating direction implicit iteration

Computers & Mathematics with Applications ◽

10.1016/0898-1221(91)90124-m ◽

1991 ◽

Vol 21 (9) ◽

pp. 43-58 ◽

Cited By ~ 92

Author(s):

An Lu ◽

E.L. Wachspress

Keyword(s):

Lyapunov Equations ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Implicit Iteration

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Multi-shift quadratic alternating direction implicit iteration for high-speed positive-real balanced truncation

2006 43rd ACM/IEEE Design Automation Conference ◽

10.1109/dac.2006.229211 ◽

2006 ◽

Cited By ~ 3

Author(s):

N. Wong ◽

V. Balakrishnan

Keyword(s):

High Speed ◽

Balanced Truncation ◽

Positive Real ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Implicit Iteration

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On inexact alternating direction implicit iteration for continuous Sylvester equations

Numerical Linear Algebra with Applications ◽

10.1002/nla.2320 ◽

2020 ◽

Vol 27 (5) ◽

Author(s):

Zhongyun Liu ◽

Yang Zhou ◽

Yulin Zhang

Keyword(s):

Alternating Direction Implicit ◽

Alternating Direction ◽

Implicit Iteration

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A hybrid preconditioner of banded matrix approximation and alternating direction implicit iteration for symmetric Sinc–Galerkin linear systems

Linear Algebra and its Applications ◽

10.1016/s0024-3795(02)00502-5 ◽

2003 ◽

Vol 366 ◽

pp. 317-335 ◽

Cited By ~ 13

Author(s):

Michael K. Ng ◽

Zhong-Zhi Bai

Keyword(s):

Linear Systems ◽

Matrix Approximation ◽

Alternating Direction Implicit ◽

Banded Matrix ◽

Alternating Direction ◽

Implicit Iteration

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