Sentence examples for main diagonal entries from inspiring English sources
In particular, the suggested numerical schemes for the gradient-weighting problem produce an algebraic system of a symmetric and diagonally dominant M-matrix of which the main diagonal entries are all the same positive constant.
Symbol diag(a) denotes a diagonal matrix with its main diagonal entries being vector a.
The operator diag(a) creates a diagonal matrix, whose main diagonal entries equal a.
The trace of a square matrix (the sum of its main diagonal entries, or, equivalently, the sum of its eigenvalues) is denoted by.
Then there exists a diagonal matrix D with positive main diagonal entries such that τ ( A ) ⋅ B = A ⋅ D ( 1 − m ) ⋅ D ⋅ … ⋅ D ⏞ m − 1, where B is a stochastic irreducible M-tensor.
Since is Hermitian matrix, its eigenvalues are arranged in decreasing order, that is, and if is any matrix, its singular values are arranged in decreasing order, that is, The trace of a square matrix (the sum of its main diagonal entries, or, equivalently, the sum of its eigenvalues) is denoted by.
Likewise, (8) where (Σ k i ) gg is the main diagonal entry of Σ k i at row resp.
More generally, and applicable to all matrices, the Jordan decomposition transforms a matrix into Jordan normal form, that is to say matrices whose only nonzero entries are the eigenvalues λ1 to λn of A, placed on the main diagonal and possibly entries equal to one directly above the main diagonal, as shown at the right.
A weight matrix W with zeros on main diagonal and symmetric entries [W]i,j = [W]j,i = C i,D + C j,D is established, where i and j are potential pairs.
However, as it was observed, a weight matrix W with zeros on the main diagonal and symmetric entries, [W]i,j = [W]j,i = Ci, D+ Cj,D (depending on the applicable case, from (8)), describing the weight of the assignment of node i to j, and node j to i (where i and j constitute a potential pair), did not always lead to a symmetric assignment.
The matrix of bandwidths is strictly upper triangular, i.e., all of the entries on the main diagonal and all the entries below the main diagonal are zero.
