Convergence-Theoretics of Classical and Krylov Waveform Relaxation Methods for Differential-Algebraic Equations (Special Section on VLSI Design and CAD Algorithms)

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概要

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• We present theoretical results on the convergence of iterative methods for the solution of linear differential-algebraic equations arising from circuit simulation. The iterative methods considered include the continuous-time and discrete-time waveform relaxation methods and the Krylov subspace methods in function space. The waveform generalized minimal residual method for solving linear differential-algebraic equations in function space is developed, which is one of the waveform Krylov subspace methods. Some new criteria for convergence of these iterative methods are derived. Examples are given to verify the convergence conditions.

• 社団法人電子情報通信学会の論文
• 1997-10-25

著者

• Jiang Y‐l

  Xi'an Jiaotong Univ. Xi'an Chn

• Luk Wai-shing

  The Department Computerweten-schappen Katholieke Universitiet Leuven

• JIANG Yao-Lin

  the Institute of Information & System Sciences, Xi'an Jiaotong University

• WING Omar

  the Department of Information Engineering, The Chinese University of Hong Kong

• Wing O

  Cinese Univ. Hong Kong Hong Kong Chn

関連論文

• Convergence-Theoretics of Classical and Krylov Waveform Relaxation Methods for Differential-Algebraic Equations (Special Section on VLSI Design and CAD Algorithms)

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