# square matrix

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## square matrix

n. Mathematics
A matrix with equal numbers of rows and columns.

## square matrix

n
(Mathematics) maths a matrix in which the number of rows is equal to the number of columns

## square′ ma′trix

n.
a mathematical matrix in which the number of rows is equal to the number of columns.
[1930–35]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 square matrix - a matrix with the same number of rows and columnsmatrix - (mathematics) a rectangular array of quantities or expressions set out by rows and columns; treated as a single element and manipulated according to rulesdiagonal - (mathematics) a set of entries in a square matrix running diagonally either from the upper left to lower right entry or running from the upper right to lower left entrydiagonal matrix - a square matrix with all elements not on the main diagonal equal to zerodeterminant - a square matrix used to solve simultaneous equationsLatin square - a square matrix of n rows and columns; cells contain n different symbols so arranged that no symbol occurs more than once in any row or columnmagic square - a square matrix of n rows and columns; the first n^2 integers are arranged in the cells of the matrix in such a way that the sum of any row or column or diagonal is the samenonsingular matrix - a square matrix whose determinant is not zerosingular matrix - a square matrix whose determinant is zero
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References in periodicals archive ?
Specially, Gentry, Sahai, and Waters (GSW) used the approximate eigenvector approach to propose a LWE-based FHE scheme in 2013  whose ciphertext is a square matrix, and thus multiplication of ciphertexts is the multiplication of square matrixes that make homomorphic multiplication become very nature and simple.
Item score matrix could be expressed as [F.sub.ixj; a Matrix [M.sub.axi] whose mean value was 0 and variance was [[alpha].sup.2.sub.M] and a random number matrix [N.sub.axj] whose mean value and variance were 0 and [[alpha].sup.2.sub.N] respectively were produced by MATLAB , in which a refers to the dimension of decomposition, [M.sub.axi] refers to a dimensional characteristic square matrix of users, and [N.sub.axj] refers to the a-dimensional characteristic square matrix of item.
For a square matrix with degree k, matrix A [member of] [R.sup.nxn] denoted by A(k) and was defined by recursive operation on k = 2,3, ...:
where each diagonal block [A.sub.i] is a square matrix, for all 1 [less than or equal to] i [less than or equal to] n.
Li, "A family of iterative methods for computing the approximate inverse of a square matrix and inner inverse of a non-square matrix," Applied Mathematics and Computation, vol.
The problem of solving linear equations over the quaternion field H(R), has been studied in  and  making use of quaternionic determinant and inverse square matrix, subjects that will be used in this work.
It is not possible to write such a system in the matrix form, analogous to (2.12) with a square matrix.
For the statically determinate structures  and after inserting in the set of equations (8) the known values of reactions on the supports, matrix A is reduced to a square matrix [K.sub.e] of dimensions 2N x 2N, in two dimensions and 3N x 3N in three dimensions.
AB = ([c.sub.ij]) is a square matrix of n order, where [c.sub.ij] = [[summation].sup.m.sub.k=1] [a.sub.ik] [b.sub.kj] 1, 2, ..., n.
(ii) C is a square matrix, of size m, with elements of vector U on the main diagonal and zero elsewhere:
diag(x) denotes the square matrix. G = [[g.sub.1], [g.sub.2], ..., [g.sub.K]] is the gain vector.

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