This paper shows the following properties for the waveform relaxation‐Newton method: (1) the iterative solution converges uniformly and globally under the same condition as the convergence condition for the waveform relaxation method; (2) the waveform Newton method used in the inner loop of the iteration converges locally with the second‐order; (3) the waveform relaxation‐Newton method is slower in the convergence both globally and locally than the waveform relaxation method; (4) the time interval where the error monotone decreases is shorter in the waveform relaxation‐Newton method than in the waveform relaxation method; and (5) the convergence speed asymptotically approaches that of the waveform relaxation method.
|Number of pages||8|
|Journal||Electronics and Communications in Japan (Part III: Fundamental Electronic Science)|
|Publication status||Published - 1989|
All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering