square matrix

n. Mathematics

A matrix with equal numbers of rows and columns.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

square matrix

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

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

square′ ma′trix

a mathematical matrix in which the number of rows is equal to the number of columns.

[1930–35]

ThesaurusAntonymsRelated WordsSynonymsLegend:

Noun

square matrix - a matrix with the same number of rows and columns

matrix - (mathematics) a rectangular array of quantities or expressions set out by rows and columns; treated as a single element and manipulated according to rules

diagonal - (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 entry

diagonal matrix - a square matrix with all elements not on the main diagonal equal to zero

determinant - a square matrix used to solve simultaneous equations

Latin 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 column

magic 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 same

nonsingular matrix - a square matrix whose determinant is not zero

singular matrix - a square matrix whose determinant is zero

Translations

matriz cuadrada

Mentioned in

References in periodicals archive

Specially, Gentry, Sahai, and Waters (GSW) used the approximate eigenvector approach to propose a LWE-based FHE scheme in 2013 [10] 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.

A General Design Method of Constructing Fully Homomorphic Encryption with Ciphertext Matrix

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, ...:

On Max-Plus Algebra and Its Application on Image Steganography

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.

High-Order Iterative Methods for the DMP Inverse

The problem of solving linear equations over the quaternion field H(R), has been studied in [3] and [8] making use of quaternionic determinant and inverse square matrix, subjects that will be used in this work.

Linear systems over Z[[Q.sub.16]] and roots of maps of some 3-complexes into [mathematical expression not reproducible]

It is not possible to write such a system in the matrix form, analogous to (2.12) with a square matrix.

Semi-Implicit Difference Scheme for a Two-Dimensional Parabolic Equation with an Integral Boundary Condition

For the statically determinate structures [10] 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.

Analysis of Tensegrity Structures with Redundancies, by Implementing a Comprehensive Equilibrium Equations Method with Force Densities

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.

Some Discussions about the Error Functions on SO(3) and SE(3) for the Guidance of a UAV Using the Screw Algebra Theory

(ii) C is a square matrix, of size m, with elements of vector U on the main diagonal and zero elsewhere:

A Novel Approach to Reduce the Unicast Bandwidth of an IPTV System in a High-Speed Access Network

diag(x) denotes the square matrix. G = [[g.sub.1], [g.sub.2], ..., [g.sub.K]] is the gain vector.

Estimating Direction of Arrival by Using Two-Dimensional State-Space Balance Method