In mathematics, the class of Z-matrices are those matrices whose off-diagonal entries are less than or equal to zero; that is, the matrices of the form:...

Z-matrix may mean: Z-matrix (chemistry), a table of the locations of atoms comprising a molecule Z-matrix (mathematics), a matrix whose off-diagonal entries...

matrix, K = 1 3 [ Q x x − Q y y − Q z z Q y x + Q x y Q z x + Q x z Q z y − Q y z Q y x + Q x y Q y y − Q x x − Q z z Q z y + Q y z Q x z − Q z x Q z...

In mathematics, a unimodular matrix M is a square integer matrix having determinant +1 or −1. Equivalently, it is an integer matrix that is invertible...

In mathematics, a symmetric matrix M {\displaystyle M} with real entries is positive-definite if the real number x T M x {\displaystyle \mathbf {x} ^{\mathsf...

In mathematics, a Q-matrix is a square matrix whose associated linear complementarity problem LCP(M,q) has a solution for every vector q. M is a Q-matrix...

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...

matrix, binary matrix, relation matrix, Boolean matrix, or (0, 1)-matrix is a matrix with entries from the Boolean domain B = {0, 1}. Such a matrix can...

In mathematics, the Hessian matrix, Hessian or (less commonly) Hesse matrix is a square matrix of second-order partial derivatives of a scalar-valued...

In mathematics, the square root of a matrix extends the notion of square root from numbers to matrices. A matrix B is said to be a square root of A if...

In mathematics, specifically linear algebra, the Woodbury matrix identity – named after Max A. Woodbury – says that the inverse of a rank-k correction...

In the mathematical discipline of linear algebra, a matrix decomposition or matrix factorization is a factorization of a matrix into a product of matrices...

In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. It is used to solve systems...

In probability theory and mathematical physics, a random matrix is a matrix-valued random variable—that is, a matrix in which some or all of its entries...

transformation matrix: S v = [ v x 0 0 0 0 v y 0 0 0 0 v z 0 0 0 0 1 ] . {\displaystyle S_{v}={\begin{bmatrix}v_{x}&0&0&0\\0&v_{y}&0&0\\0&0&v_{z}&0\\0&0&0&1\end{bmatrix}}...

(\mathbb {F} _{p})\end{matrix}}} and a deformation X → X 2 ↓ ↓ Spec ⁡ ( F p ) → Spec ⁡ ( Z / ( p 2 ) ) {\displaystyle {\begin{matrix}X&\to &{\mathfrak {X}}_{2}\\\downarrow...

In mathematics, a ring is an algebraic structure consisting of a set with two binary operations called addition and multiplication, which obey the same...

A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation...

In mathematics, a Hurwitz-stable matrix, or more commonly simply Hurwitz matrix, is a square matrix whose eigenvalues all have strictly negative real part...

In mathematics, the determinant is a scalar-valued function of the entries of a square matrix. The determinant of a matrix A is commonly denoted det(A)...

octonion matrix: M = [ x Z ¯ Y Z y X ¯ Y ¯ X z ] {\displaystyle M={\begin{bmatrix}x&{\overline {Z}}&Y\\Z&y&{\overline {X}}\\{\overline {Y}}&X&z\end{bmatrix}}}...

quantum chemistry method Simulated reality Structural bioinformatics Z-matrix (mathematics) Leach AR (2009). Molecular modelling : principles and applications...

the rings Z / N Z {\displaystyle \mathbb {Z} /N\mathbb {Z} } can be added: ( a + N Z ) + ( b + N Z ) = a + b + N Z {\displaystyle (a+N\mathbb {Z} )+(b+N\mathbb...

In linear algebra, the trace of a square matrix A, denoted tr(A), is the sum of the elements on its main diagonal, a 11 + a 22 + ⋯ + a n n {\displaystyle...

vector calculus, the Jacobian matrix (/dʒəˈkoʊbiən/, /dʒɪ-, jɪ-/) of a vector-valued function of several variables is the matrix of all its first-order partial...

+ | z 3 | 2 ± ( | z 0 | 2 + | z 1 | 2 + | z 2 | 2 + | z 3 | 2 ) 2 − | z 0 2 − z 1 2 − z 2 2 − z 3 2 | 2 = | z 0 | 2 + | z 1 | 2 + | z 2 | 2 + | z 3 |...

z\\z\end{bmatrix}}} After carrying out the matrix multiplication, the homogeneous component w c {\displaystyle w_{c}} will be equal to the value of z...

In mathematics, the polar decomposition of a square real or complex matrix A {\displaystyle A} is a factorization of the form A = U P {\displaystyle A=UP}...

In mathematics, the conjugate transpose, also known as the Hermitian transpose, of an m × n {\displaystyle m\times n} complex matrix A {\displaystyle...

covariance matrix (also known as auto-covariance matrix, dispersion matrix, variance matrix, or variance–covariance matrix) is a square matrix giving the...