{"title":"线性代数问题","authors":"Dingyu Xue, YangQuan Chen","doi":"10.1201/9781315367859-4","DOIUrl":null,"url":null,"abstract":"1 Basics 2 Linear Equations 3 Linear Maps 4 Rank One Matrices 5 Algebra of Matrices 6 Eigenvalues and Eigenvectors 7 Inner Products and Quadratic Forms 8 Norms and Metrics 9 Projections and Reflections 10 Similar Matrices 11 Symmetric and Self-adjoint Maps 12 Orthogonal and Unitary Maps 13 Normal Matrices 14 Symplectic Maps 15 Differential Equations 16 Least Squares 17 Markov Chains 18 The Exponential Map 19 Jordan Form 20 Derivatives of Matrices 21 Tridiagonal Matrices 22 Block Matrices 23 Interpolation 24 Dependence on Parameters 25 Miscellaneous Problems","PeriodicalId":290913,"journal":{"name":"Scientific Computing with MATLAB®","volume":"54 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Linear Algebra Problems\",\"authors\":\"Dingyu Xue, YangQuan Chen\",\"doi\":\"10.1201/9781315367859-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"1 Basics 2 Linear Equations 3 Linear Maps 4 Rank One Matrices 5 Algebra of Matrices 6 Eigenvalues and Eigenvectors 7 Inner Products and Quadratic Forms 8 Norms and Metrics 9 Projections and Reflections 10 Similar Matrices 11 Symmetric and Self-adjoint Maps 12 Orthogonal and Unitary Maps 13 Normal Matrices 14 Symplectic Maps 15 Differential Equations 16 Least Squares 17 Markov Chains 18 The Exponential Map 19 Jordan Form 20 Derivatives of Matrices 21 Tridiagonal Matrices 22 Block Matrices 23 Interpolation 24 Dependence on Parameters 25 Miscellaneous Problems\",\"PeriodicalId\":290913,\"journal\":{\"name\":\"Scientific Computing with MATLAB®\",\"volume\":\"54 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-11-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Scientific Computing with MATLAB®\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1201/9781315367859-4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Scientific Computing with MATLAB®","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1201/9781315367859-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
1 Basics 2 Linear Equations 3 Linear Maps 4 Rank One Matrices 5 Algebra of Matrices 6 Eigenvalues and Eigenvectors 7 Inner Products and Quadratic Forms 8 Norms and Metrics 9 Projections and Reflections 10 Similar Matrices 11 Symmetric and Self-adjoint Maps 12 Orthogonal and Unitary Maps 13 Normal Matrices 14 Symplectic Maps 15 Differential Equations 16 Least Squares 17 Markov Chains 18 The Exponential Map 19 Jordan Form 20 Derivatives of Matrices 21 Tridiagonal Matrices 22 Block Matrices 23 Interpolation 24 Dependence on Parameters 25 Miscellaneous Problems