{"title":"改进逐次逼近法中特征数的误差估计","authors":"S.M. Yaroshko, S.A. Yaroshko","doi":"10.1109/DIPED.1999.822131","DOIUrl":null,"url":null,"abstract":"To solve the eigenvalue problem with a completely continuous operator the modified successive approximation method is used. A method to estimate the linear part of the calculation errors is proposed. The questions of a priori estimation of the calculated characteristic numbers of the operator is discussed.","PeriodicalId":426777,"journal":{"name":"DIPED - 99. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/Workshop (IEEE Cat. No.99TH8402)","volume":"108 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Error estimation of characteristic numbers in the modified successive approximation method\",\"authors\":\"S.M. Yaroshko, S.A. Yaroshko\",\"doi\":\"10.1109/DIPED.1999.822131\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"To solve the eigenvalue problem with a completely continuous operator the modified successive approximation method is used. A method to estimate the linear part of the calculation errors is proposed. The questions of a priori estimation of the calculated characteristic numbers of the operator is discussed.\",\"PeriodicalId\":426777,\"journal\":{\"name\":\"DIPED - 99. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/Workshop (IEEE Cat. No.99TH8402)\",\"volume\":\"108 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"DIPED - 99. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/Workshop (IEEE Cat. No.99TH8402)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DIPED.1999.822131\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"DIPED - 99. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/Workshop (IEEE Cat. No.99TH8402)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.1999.822131","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Error estimation of characteristic numbers in the modified successive approximation method
To solve the eigenvalue problem with a completely continuous operator the modified successive approximation method is used. A method to estimate the linear part of the calculation errors is proposed. The questions of a priori estimation of the calculated characteristic numbers of the operator is discussed.