剧毒 发表于 2025-3-23 12:05:10
https://doi.org/10.1007/978-0-387-28822-2If . is a non-singular matrix then, in general, it can be factorized in the form . = ., where . is lower-triangular and . is upper-triangular. The factorization, when it exists, is unique to within a non-singular diagonal multiplying factor.NOTCH 发表于 2025-3-23 15:55:45
http://reply.papertrans.cn/43/4208/420737/420737_12.png固执点好 发表于 2025-3-23 21:46:43
https://doi.org/10.1007/978-3-319-41585-7Let . be a matrix of . rows and . columns, .≦.. If and only if the columns are linearly independent, then for any vector . there exists a unique vector . minimizing the Euclidean norm of ..收集 发表于 2025-3-24 00:40:11
http://reply.papertrans.cn/43/4208/420737/420737_14.png值得 发表于 2025-3-24 02:43:32
http://reply.papertrans.cn/43/4208/420737/420737_15.png进入 发表于 2025-3-24 07:59:42
https://doi.org/10.5822/978-1-61091-205-1In an algorithm was described for carrying out the . algorithm for a real symmetric matrix using shifts of origin. This algorithm is described by the relations.where .. is orthogonal, .. is lower triangular and .. is the shift of origin determined from the leading 2×2 matrix of ...Anonymous 发表于 2025-3-24 11:21:45
http://reply.papertrans.cn/43/4208/420737/420737_17.png轻浮女 发表于 2025-3-24 15:44:01
Symmetric Decomposition of a Positive Definite MatrixThe methods are based on the following theorem due to . [.].PLE 发表于 2025-3-24 21:26:37
http://reply.papertrans.cn/43/4208/420737/420737_19.png愤慨一下 发表于 2025-3-25 02:18:59
Symmetric Decomposition of Positive Definite Band MatricesThe method is based on the following theorem. If . is a positive definite matrix of band form such that.then there exists a real non-singular lower triangular matrix . such that