1.By means of therank of matrix, line outspreading, it gives some conditions in which a matrix can decompose to two Kronecker products of matrix.对矩阵Kronecker积分解进行研究,通过矩阵的秩,行展开等方法,给出了将一个矩阵分解为两个矩阵Kronecker积的若干条件。 2.In this note,we describe the equi...
1) matrix rank deficiency 矩阵秩缺 2) rank of matrix 矩阵的秩 1. By means of therank of matrix, line outspreading, it gives some conditions in which a matrix can decompose to two Kronecker products of matrix. 对矩阵Kronecker积分解进行研究,通过矩阵的秩,行展开等方法,给出了将一个矩阵分解为...
1.By means of therank of matrix, line outspreading, it gives some conditions in which a matrix can decompose to two Kronecker products of matrix.对矩阵Kronecker积分解进行研究,通过矩阵的秩,行展开等方法,给出了将一个矩阵分解为两个矩阵Kronecker积的若干条件。 2.In this note,we describe the equi...
The rank of a matrix is the number of linearly independent rows of the matrix. It is also called the row rank of the matrix. The row rank of a matrix equals its column rank, the number of linearly independent columns of the matrix. ...
A Remark on Rank Identities of a Class of Matrices This paper discusses the necessary and sufficient conditions for the Sylvester and Frobenius inequality of rank of matrix to be equality,and describes the ... HU Fu-Gao - 《Journal of Wuhan Yejin University of Science & Technology》 被引量...
In this paper,we comprehensively study optimality conditions for rank-constrained matrix optimization(RCMO).By calculating the Clarke tangent and normal cones to a rank-constrained set,along with the given Fr茅chet,Mordukhovich normal cones,we investigate four kinds of stationary points of the RCMO...
Given the following conditions, determine if there are no solutions, a unique solution, or infinite solutions. (Matrix A|B = augmented matrix). Just in case anyone viewing needs a little refresher... Rank = number of non zero rows in the matrix. 1) # of equations : 3 # of unknown...
Rank Conditions on the Multiple-View Matrix ∗ Geometric relationships governing multiple images of points and lines and associated algorithms have been studied to a large extent separately in multiple-view geometry. The previous studies led to a characterization based on multilinear... M Yi,K ...
We develop a notion of \\emph{rank-sparsity incoherence}, expressed as an uncertainty principle between the sparsity pattern of a matrix and its row and column spaces, and use it to characterize both fundamental identifiability as well as (deterministic) sufficient conditions for exact recovery. ...
Let El be a blog and Aεℳnn a square matrix. We say that A is right or left column-regular if the columns of A are right or left SLI respectively. And we make corresponding dual definitions in the obvious way.Page %P Close Plain text Look Inside Other actions Export citation ...