calculus of matrices

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• Calculus (disambiguation) — Calculus is Latin for pebble, and has a number of meanings in English: In mathematics and computer science Calculus , in its most general sense, is any method or system of calculation. To modern theoreticians the answer to the question what is a… …   Wikipedia

• Matrices aléatoires — Matrice aléatoire Une matrice aléatoire est une matrice dont les éléments sont des variables aléatoires. Face à la complexité croissante des spectres nucléaires observés expérimentalement dans les années 1950, Wigner a suggeré de remplacer l… …   Wikipédia en Français

• Matrix calculus — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

• Holomorphic functional calculus — In mathematics, holomorphic functional calculus is functional calculus with holomorphic functions. That is to say, given a holomorphic function fnof; of a complex argument z and an operator T , the aim is to construct an operator:f(T),which in a… …   Wikipedia

• Mueller calculus — is a matrix method for manipulating Stokes vectors, which represent the polarization of incoherent light. It was developed in 1943 by Hans Mueller, then a professor of physics at the Massachusetts Institute of Technology. Light which is… …   Wikipedia

• Jones calculus — In optics one can describe polarization using the Jones calculus, invented by R. C. Jones in 1941. Polarized light is represented by a Jones vector , and linear optical elements are represented by Jones matrices . When light crosses an optical… …   Wikipedia

• Estimation of covariance matrices — In statistics, sometimes the covariance matrix of a multivariate random variable is not known but has to be estimated. Estimation of covariance matrices then deals with the question of how to approximate the actual covariance matrix on the basis… …   Wikipedia

• Multiplicative calculus — In mathematics, multiplicative calculus refers to a number of calculi whose derivative and integral are multiplicative as compared to the classical (or conventional) calculus which is additive and linear. Different examples are given below.… …   Wikipedia

• Functional calculus — In mathematics, a functional calculus is a theory allowing one to apply mathematical functions to mathematical operators. The term was also used previously to refer to the calculus of variations. If f is a function, say a numerical function of a… …   Wikipedia

• Duplication and elimination matrices — In mathematics, especially in linear algebra and matrix theory, the duplication matrix and the elimination matrix are linear transformations used for transforming half vectorizations of matrices into vectorizations or (respectively) vice versa.… …   Wikipedia

• Jordan normal form — In linear algebra, a Jordan normal form (often called Jordan canonical form)[1] of a linear operator on a finite dimensional vector space is an upper triangular matrix of a particular form called Jordan matrix, representing the operator on some… …   Wikipedia