particular, algebra, a generalized inverse (or, g-inverse) of an element x is an element y that has some properties of an inverse element but not necessarily...

1903. The terms pseudoinverse and generalized inverse are sometimes used as synonyms for the Moore–Penrose inverse of a matrix, but sometimes applied...

semigroups generalize inverse semigroups, the unique element defined this way in a *-regular semigroup is called the generalized inverse or Moore–Penrose...

\end{aligned}}} Some of the properties of inverse matrices are shared by generalized inverses (for example, the Moore–Penrose inverse), which can be defined for any...

Inverse element Inverse function, a function that "reverses" another function Generalized inverse, a matrix that has some properties of the inverse matrix...

In probability theory and statistics, the generalized inverse Gaussian distribution (GIG) is a three-parameter family of continuous probability distributions...

In linear algebra, a constrained generalized inverse is obtained by solving a system of linear equations with an additional constraint that the solution...

single-matrix SVD. The generalized singular value decomposition (GSVD) is a matrix decomposition on a pair of matrices which generalizes the singular value...

Inverse transform sampling (also known as inversion sampling, the inverse probability integral transform, the inverse transformation method, or the Smirnov...

percentile. Some useful properties of the inverse cdf (which are also preserved in the definition of the generalized inverse distribution function) are: F − 1...

set A left inverse function for a mapping between sets A kind of generalized inverse Left-cancellative Loop (algebra), an algebraic structure with identity...

mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists if...

}})}}}} where Σ + {\displaystyle {\boldsymbol {\Sigma }}^{+}} is the generalized inverse and det ∗ {\displaystyle \det \nolimits ^{*}} is the pseudo-determinant...

a formula for the derivative of the inverse function. In multivariable calculus, this theorem can be generalized to any continuously differentiable, vector-valued...

In mathematics, the inverse Laplace transform of a function F ( s ) {\displaystyle F(s)} is a real function f ( t ) {\displaystyle f(t)} that is piecewise-continuous...

number 0, but it can also refer to a more generalized zero element. In elementary mathematics, the additive inverse is often referred to as the opposite number...

In statistics, the inverse Wishart distribution, also called the inverted Wishart distribution, is a probability distribution defined on real-valued positive-definite...

that A or D is singular, substituting a generalized inverse for the inverses on M/A and M/D yields the generalized Schur complement. The Schur complement...

normal variance-mean mixture where the mixing distribution is the generalized inverse Gaussian distribution (GIG). Its probability density function (see...

In mathematics, the Drazin inverse, named after Michael P. Drazin, is a kind of generalized inverse of a matrix. Let A be a square matrix. The index of...

In statistics, a generalized linear model (GLM) is a flexible generalization of ordinary linear regression. The GLM generalizes linear regression by allowing...

distribution Generalized inverse Gaussian distribution Generalized least squares Generalized linear array model Generalized linear mixed model Generalized linear...

stiffness, and it is the inverse of compliance in the fluid flow domain, especially in physiology. It is also the name of the generalized quantity in bond-graph...

{b} } where A−1 is the inverse matrix of A. If A has no inverse, solutions—if any—can be found using its generalized inverse. Matrices and matrix multiplication...

science, an inverse-square law is any scientific law stating that the observed "intensity" of a specified physical quantity is inversely proportional...

sufficiently large k. That is, it is the space of generalized eigenvectors (first sense), where a generalized eigenvector is any vector which eventually becomes...

information network operated by the United States Department of Defense Generalized inverse Gaussian distribution, a distribution in probability theory Gig Gangel...

invGauss, LaplacesDemon, and statmod. Generalized inverse Gaussian distribution Tweedie distributions—The inverse Gaussian distribution is a member of...

natural numbers. Absorbing element Additive inverse Generalized inverse Identity (equation) Identity function Inverse element Monoid Pseudo-ring Quasigroup...

m {\displaystyle a,b\in \mathbb {Z} _{m}} with gcd (a,m) = 1 a generalized inversive congruential sequence ( y n ) n ⩾ 0 {\displaystyle (y_{n})_{n\geqslant...