{"title":"利用块对称求解代数特征值问题","authors":"Kh.D. Ikramov","doi":"10.1016/0041-5553(90)90103-Y","DOIUrl":null,"url":null,"abstract":"<div><p>Some techniques for utilizing the block structure of a number of classes of special matrices are discussed. These structural features consist of intrablock symmetry and antisymmetry. The purpose of this study is to reduce the computing time and memory requirements for solving spectral problems for such matrices.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 9-16"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90103-Y","citationCount":"1","resultStr":"{\"title\":\"The use of block symmetries to solve algebraic eigenvalue problems\",\"authors\":\"Kh.D. Ikramov\",\"doi\":\"10.1016/0041-5553(90)90103-Y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Some techniques for utilizing the block structure of a number of classes of special matrices are discussed. These structural features consist of intrablock symmetry and antisymmetry. The purpose of this study is to reduce the computing time and memory requirements for solving spectral problems for such matrices.</p></div>\",\"PeriodicalId\":101271,\"journal\":{\"name\":\"USSR Computational Mathematics and Mathematical Physics\",\"volume\":\"30 6\",\"pages\":\"Pages 9-16\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0041-5553(90)90103-Y\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"USSR Computational Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/004155539090103Y\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/004155539090103Y","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The use of block symmetries to solve algebraic eigenvalue problems
Some techniques for utilizing the block structure of a number of classes of special matrices are discussed. These structural features consist of intrablock symmetry and antisymmetry. The purpose of this study is to reduce the computing time and memory requirements for solving spectral problems for such matrices.