Matrices (mathematics)

commutative, associative algebra of two complex dimensions

matrix with 1/(x_i-y_j) entries

matrix that is symmetric about its center

square matrix (two-dimensional array) containing the distances, taken pairwise, between the elements of a set. Depending upon the application involved, the distance being used to define this matrix may or may not be a metric

type of matrix in algebraic graph theory

a square matrix where all the entries are zero except those on the diagonal going from the lower left corner to the upper right corner

rotation in the plane spanned by two coordinates axes

linear algebra

mathematical concept

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optimization problem

Mathematical equivalence relation

system for describing optical polarization

square matrix that is its own inverse

matrix whose entries are polynomials

thumb|400px|The BLOSUM62 matrix, the amino acids have been grouped and coloured based on Margaret Dayhoff|Margaret Dayhoff's classification scheme. Positive and zero values have been highlighted. In bioinformatics, the BLOSUM (BLOcks SUbstitution Matrix) matrix is a substitution matrix used for sequence alignment of proteins. BLOSUM matrices are used to score alignments between evolutionarily divergent protein sequences. They are based on local alignments. BLOSUM matrices were first introduced in a paper by Steven Henikoff and Jorja Henikoff. They scanned the BLOCKS database for very conserved

matrix equation in the field of control theory

irreducible representation of the rotation group SO

equivalence of matrices under row operations

group consisting of invertible matrices over a field

matrix of values of explanatory variables of a set of objects

square matrix symmetric about both its diagonal and anti-diagonal

Matrix in math with special properties

a square matrix

matrix whose entries are integers

matrix in numerical mathematics

matrix in which all the elements are equal to or greater than zero

infinite matrices with Pascal's triangle as elements

square matrix without an inverse

orthogonal matrix with several useful properties

symmetric with respect to the main skew diagonal

theorem

square matrix whose off-diagonal entries are nonpositive

mathematical model also called the Razumov–Stroganov conjecture

In mathematics, especially linear algebra, an '''M-matrix' is a matrix whose off-diagonal entries are less than or equal to zero (i.e., it is a Z-matrix) and whose eigenvalues have nonnegative real parts. The set of non-singular M-matrices are a subset of the class of P-matrices, and also of the class of inverse-positive matrices (i.e. matrices with inverses belonging to the class of positive matrices). The name M''-matrix was seemingly originally chosen by Alexander Ostrowski in reference to Hermann Minkowski, who proved that if a Z-matrix has all of its row sums positive, then the determinan

In mathematics, a -matrix is a complex square matrix with every principal minor is positive. A closely related class is that of P_0-matrices, which are the closure of the class of -matrices, with every principal minor \geq 0.

matrix used in the Hartree–Fock method of quantum mechanics

Concentration of chemical orbitals on adjacent atoms

type of nonlinear equation that arises in infinite-horizon optimal control problems

type of mathematical matrix

Matrix with exactly one nonzero entry in each row and each column

representation of a matrix as a sum

matrix whose columns are linearly independent solutions of a system of homogeneous linear ordinary differential equations

describes in mathematics a linear transformation which converts the matrix into a column vector

square (0,1) matrix

elementary matrix representing a row-addition transformation

method of constructing an image from multiple viewpoints

recursive algorighm in linear algebra

statistics computed from a sample of data

age-structured model of population growth

matrix formed by applying a finite list of functions pointwise to a fixed column of inputs

polytope

square matrix in which the off-diagonal values are nonnegative

non-diagonalizable matrix; one lacking a basis of eigenvectors

study of matrices and their algebraic properties