In linear algebra, the sherman-morrison-woodbury identity says that the inverse of a rank-$k$ correction of some matrix can be computed by doing a rank-k correction to the inverse of the original matrix. This identity is crucial to accelerate the matrix inverse computation when the matrix inv...
本文利用Schur补方法推广了Sherman-Morrison-Woodbury公式,获得了包括华罗庚恒等式在内的许多有用的恒等式. 文档格式: .pdf 文档大小: 101.78K 文档页数: 7页 顶/踩数: 0/0 收藏人数: 6 评论次数: 0 文档热度: 文档分类: 待分类 系统标签: woodburyshermanmorrisonschuridentityformula ...
of Schur complements to matrixidentities and presents an extension of the Sherman-Morrison-Woodbury for-mula, which includes in a lot of matrix identities, such as Hua’s identity andits extensions.Keywords: Sherman-Morrison-Woodbury formula, Hua’s identity, SchurcomplementAMS subject classifications...
from scratch. The Sherman–Morrison–Woodbury formula is straightforward to verify, by showing that the product of the two sides is the identity matrix. How can the formula be derived in the first place? Consider any two matrices and such that and are both defined. The associative law for ma...
The coupling is based on an exact linear algebra identity known as the Sherman-Morrison-Woodbury (SMW) formula. One advantage of this approach is that the FEM matrices are not modified. This is important if a fast “black-box” solver is available for the FEM matrices, these solvers ...
The coupling is based on an exact linear algebra identity known as the Sherman-Morrison-Woodbury (SMW) formula. One advantage of this approach is that the FEM matrices are not modified. This is important if a fast ldquoblack-boxrdquo solver is available for the FEM matrices, these solvers ...
A Sherman-Morrison-Woodbury Identity for Rank Augmenting Matrices with Application to Centering Matrices of the form \\bf{A} + (\\bf{V}_1 + \\bf{W}_1)\\bf{G}(\\bf{V}_2 + \\bf{W}_2)^* A + ( V 1 + W 1 ) G ( V 2 + W 2 ) 鈭 \\bf{A} + (\\bf{V}_1 + ...