2021-10-22T04:28:55Zhttps://ipsj.ixsq.nii.ac.jp/ej/?action=repository_oaipmhoai:ipsj.ixsq.nii.ac.jp:000139642017-01-12T15:00:00Z00581:00755:00765
An Acceleration Process for Iterated Vectors Generated by a Real Symmetric MatrixAn Acceleration Process for Iterated Vectors Generated by a Real Symmetric Matrixeng論文http://id.nii.ac.jp/1001/00013964/Journal Articlehttps://ipsj.ixsq.nii.ac.jp/ej/?action=repository_action_common_download&item_id=13964&item_no=1&attribute_id=1&file_no=1Copyright (c) 1995 by the Information Processing Society of Japan数値解析Toyota College of Technology 2 - 1 Eisei - Cho Toyota 471 JapanKen, IguchiWe define an acceleration process for iterated vectors generated by a matrix iterative process. We consider here an algorithm in which the acceleration process is applied once after every m+2 iterations of a matrix iterative process. Then our aim is to determine the number m (precisely m+2) required for each application of the acceleration process to be effective. Two examples are given to demonstrate the analytical results and to compare then with Jennings' acceleration process.We define an acceleration process for iterated vectors generated by a matrix iterative process. We consider here an algorithm in which the acceleration process is applied once after every m+2 iterations of a matrix iterative process. Then our aim is to determine the number m (precisely m+2) required for each application of the acceleration process to be effective. Two examples are given to demonstrate the analytical results and to compare then with Jennings' acceleration process.AN00116647情報処理学会論文誌3635195241995-03-151882-77642009-06-29