A matrix is a rectangular array of numbers that is usually named by a capital letter: A,B,C,A,B,C, and so on. Each entry in a matrix is referred to as aijaij, such that ii represents the row and jj represents the column. Matrices are often referred to by their dimensions: ...
Singular Value Inequalities of Matrix Sum in Log-majorizations We show some upper bounds for the product of arbitrarily selected singular values of the sum of two matrices. The results are additional to our previous wo... BY Xi,FZ Zhang - 《Acta Mathematica Sinica English》 被引量: 0发表:...
In this paper,we obtain representations for the Drazin inverses of the sum of two matrices. According to thinking of a block matrix split into two triangular matrices,the different prove of the representations for Drazin inverse of the sum of two matrices were given using the property of Drazin...
Generating matrixbinary sequencesumscombinatorial formulæIn this paper, we consider two generalized binary sequences and then give a generalization of a matrix equality proposed as an advanced problem. Then, we derive new certain finite sums including the generalized binary sequences as applications....
Proof that Eigenvalues are the Diagonal Entries of the Upper-Triangular Matrix in Axler 5 Eigenvalues of the sum of a stochastic matrix and a diagonal matrix 10 Are the eigenvalues of the sum of two positive definite matrices increased? 1 Diagonalizable traceless matrices wi...
Sum of Elements—Add input elements Algorithms The block follows the same summation rules as the MATLABsumfunction. Suppose that you have a 2-by-3 matrixU. SettingDimensionto1results in the outputYbeing computed as: Y=∑2i=1U(i,j) ...
Idempotent matrix,a special type in matrix theory,possesses good properties and practical value.The sufficient and necessary conditions for nonsingularity of linear combinations of idempotent matrices were discussed by partitioned matrix... YD Zeng - 《Journal of Fuyang Teachers College》 被引量: 0发...
the sum of the two vectors would be: C = 0.1000 0.2880 0.5659 1.7225 2.2570 3.4754 4.5621 5.4822 5.9049 6.1209 What I do so that only the first element of the result in C gives me 0 ? like this C = 0.0000 0.2880 0.5659 1.7225 2.2570 3.4754 4.5621 ...
The two-person and zero-sum matrix game with probabilistic linguistic information Game theory establishes mathematical models of strategic interactions among rational decision-makers. In many situations, the crisp values of payoffs are d... MiXiaomei,LiaoHuchang,ZengXiao-Jun,... 被引量: 0发表: ...
However, analytical results concerning the corresponding eigenvalue statistics have remained unavailable, even for the sum of two Wishart matrices. This can be attributed to the complicated and rotationally noninvariant nature of the matrix distribution that makes extracting the information about eigenvalues...