Linear algebra of factoring a matrix into the product of two matrices with special properties is developed. This is accomplished in terms of the so-called inverse of a matrix subspace which yields an extended notion for the invertibility of a matrix. The product of two matrix subspaces gives ri...
c = a x b vector product n. A vectorc, depending on two other vectorsaandb, whose magnitude is the product of the magnitude ofa, the magnitude ofb, and the sine of the angle betweenaandb. Its direction is perpendicular to the plane throughaandband oriented so that a right-handed rotat...
Four Forms of Matrix Algorithms Given a matrix A∈ℝm×n, we find two non-singular matrices U∈ℝm×m and V∈ℝn×n and perform U−1AV−1=B or equivalently A=UBV, AV−1=UB, U−1A=BV. Many matrix computations can be presented as one of the four forms. We call U...
1)product of matrix矩阵乘积 英文短句/例句 1.The Moore-Penrose Inverse for Product of Two Matrices over PID;PID环上二矩阵乘积的Moore-Penrose逆 2.On Reverse Order Law for {1 ,3M ,4N}-inverse of Two Matrix Product两矩阵乘积的{1,3M,4N}-逆的反序 3.We call a matrix the generalized cyclic...
C. Paige, and R. C. Ward. Computing the SVD of a product of two matrices. SIAM Journal on Scienti c and Statistical Computing, 7:1147{1159, 1986.Heath,M.T.,Laub,A.J.,Paige,C.C.,Ward,R.Computing the SVD of a product of two matrices.SIAM Journal on Scientific and Statistical ...
block matrix A = ( B 0 0 0 ) ∈ M n + r ( R ) A=\begin{pmatrix} B & 0 0 & 0 \end{pmatrix} \in M_{n+r}(R) , B ∈ M n ( R ) B\in M_n(R) , r ≥ 1 r\ge 1 , over a von Neumann regular separative ring R R , is a product of idempotent matrices. Fu...
The reverse order law for {1,3,4}-inverse of the product of two matrices Liu D. and Yang H., The reverse order law for {1,3,4}- inverse of the product of two matrices, Appl. Math. Comput., 215 (12), 4293- 4303... D Liu,H Yang - 《Applied Mathematics & Computation》 被引...
1) Product of two matrices 二个矩阵的积 2) overall interest 二个大局 3) Twelves 《十二个》 1. Love of Sexual Passion: The Representation ofthe Prototye Anima inTwelves; 情欲之爱:阿尼玛原型在《十二个》中的表现 4) Two Areas 二个区域 ...
Two fuzz matrices B and A, of which A is a constant fuzzy matrix,has been considered.The author has established sufficient condition for B A to be constant in previous paper.The results is improved,and the necessary and sufficient conditions are given for B A to be constant in this paper...
kronecker product(矩阵张量乘)