Let M = ( m i j ) M=(mij) be a symmetric matrix of order n whose elements lie in an arbitrary field F F , and let G be the graph with vertex set { 1 , … , n } {1,…,n} such that distinct vertices i and j are adjacent if and only if m i j ≠ 0 mij≠0 . We...
2.2 The Inverse of a Matrix(线性代数:逆矩阵) 47:15 2.3 Characterizations of Invertible Matrices(线性代数:可逆矩阵的性质) 26:56 2.4 Partitioned Matrices(线性代数:分块矩阵) 34:11 2.5 Matrix Factorizations(线性代数:矩阵LU分解) 44:24 2.6 The Leontief Input Output Model(线性代数:投入产出模...
"Householder's Tridiagonalization of a Symmetric Matrix," Numerische Mathematik. Vol. 11 (1968), 181-195.Martin, R. S., Reinsch, C., Wilkinson, J. H. (1968) Householder's tridiagonalization of a symmetric matrix. Numer. Math. 11: pp. 181-195...
The well known method proposed by Givens [1] reduces a full symmetric matrix A=(a ik ) of order n by a sequence of appropriately chosen elementary orthogonal transformations (in the following called Jacobi rotations) to tridiagonal form. This is achieved by (n - 1)(n - 2)/2 Jacobi rota...
This special form of singular value decomposition (SVD) is called Takagi factorization. 1, 2 The computation of the Takagi factorization consists of two stages: tridiagonalization and diagonalization. 3 A complex symmetric matrix is first reduced to complex symmetric and tridiagonal form. There are...
Proof of the symmetric matrix will be the point of the thesis. 翻译结果5复制译文编辑译文朗读译文返回顶部 Proved the symmetrical matrix to be possible the diagonalization judgment. 相关内容 a我喜欢读音语 I like the pronunciation language[translate] ...
A diagonal matrix is a square matrix in which all the elements that are NOT in the principal diagonal are zeros and the elements of the principal diagonal can be either zeros or non-zeros. Learn more about a diagonal matrix along with examples.
Then lists the ten basic properties of symmetric matrices and give a simple proof, on this basis that the symmetric matrix diagonalization argument. 翻译结果3复制译文编辑译文朗读译文返回顶部 Went on to list the ten basic properties of symmetric matrix with a simple proof, on the basis of evidenc...
On the Diagonalization of Real Anti-Symmetric Matrix; 关于实反对称矩阵对角化问题的讨论 2. On the condition about simultaneousdiagonalizationof matrixes; 矩阵同时对角化的条件讨论 3. Bezout matrix′sdiagonalizationanatomy; 关于Bezout矩阵的对角化剖析 ...
2) real symmetric matrix 实对称阵 1. The improved Householder method is used to calculate the real symmetric matrix. 将对复H erm ite矩阵求特征值和特征向量的问题转化为求解实对称阵的特征值和特征向量,而实对称阵的求解采用一种改进的三对角Househo lder法。 2. In Entrance Test of Higher ...