square matrix


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square matrix

[′skwer ′mā·triks]
(mathematics)
A matrix with the same number of rows and columns.
References in periodicals archive ?
Let C be a (n+t)x(n+t) square matrix. Suppose each row of ciphertext matrix C is a ciphertext produced by the above basic encryption scheme under the (n+t)xt secret matrix S.
In general, the system of linear equations in max-plus algebra will have no solution, if A is square matrix or if the number of columns in A is more than the number of rows in A.
The square matrix A = {[a.sub.ij]}, i, j = [bar.1,n] is called an M-matrix, if it is non-singular, [a.sub.ij] [less than or equal to] 0, as i [not equal to] j and all the elements of matrix [A.sup.-1] are nonnegative (we denote it as [A.sup.-1] [greater than or equal to] 0).
One can be certain about the existence of the solution when square matrix [K.sub.e] has one of the following properties [11]:
BA = ([d.sub.ij]) is a square matrix of m order, where [d.sub.ij] = [[summation].sup.n.sub.k=1] [b.sub.ik] [a.sub.kj], i, j = 1, 2, ..., m:
(v) S is a square matrix, of size m, which consists of diagonal values, each equal to the sum of rows, elements of matrix M, and zero elsewhere:
The topogenous matrix [T.sub.X] = [[t.sub.ij]] associated to X is the square matrix of size n x n that satisfies:
where [cross product] denotes Kronecker product, vec{x} is the vectorization operator which when it is applied on a given square matrix C [member of] [C.sup.mxm], it concatenates its columns in a column vector [m.sup.2] x 1 such that
For symmetric and square matrix, [Cxx.sup.T] = Cxx and [Cyy.sup.T] = Cyy
A complex reflection [tau] [member of] G(r, n) is associated with a square matrix
Huawei magic cube ONT is a square matrix which can stand upright or lie flat on a desktop.