matrix algebra

  • 41Algebra (ring theory) — In mathematics, specifically in ring theory, an algebra over a commutative ring is a generalization of the concept of an algebra over a field, where the base field K is replaced by a commutative ring R .Any ring can be thought of as an algebra… …

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  • 42algebra, elementary — Introduction       branch of mathematics that deals with the general properties of numbers and the relations between them. Algebra is fundamental not only to all further mathematics and statistics but to the natural sciences, computer science,… …

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  • 43Matrix differential equation — A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and of its derivatives of various orders. A matrix differential equation is one containing more… …

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  • 44Matrix difference equation — A matrix difference equation[1][2] is a difference equation in which the value of a vector (or sometimes, a matrix) of variables at one point in time is related to its own value at one or more previous points in time, using matrices. Occasionally …

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  • 45Algebra of physical space — In physics, the algebra of physical space (APS) is the Clifford or geometric algebra Cl3 of the three dimensional Euclidean space, with emphasis in its paravector structure. The Clifford algebra Cl3 has a faithful representation, generated by… …

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  • 46Matrix addition — In mathematics, matrix addition is the operation of adding two matrices by adding the corresponding entries together. However, there are other operations which could also be considered as a kind of addition for matrices, the direct sum and the… …

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  • 47Matrix-free methods — In computational mathematics, a matrix free method is an algorithm for solving a linear system of equations or an eigenvalue problem that does not store the coefficient matrix explicitly, but accesses the matrix by evaluating matrix vector… …

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  • 48algebra and algebraic structures — Generalized version of arithmetic that uses variables to stand for unspecified numbers. Its purpose is to solve algebraic equations or systems of equations. Examples of such solutions are the quadratic formula (for solving a quadratic equation)… …

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  • 49Matrix equivalence — In linear algebra, two rectangular m by n matrices A and B are called equivalent if for some invertible n by n matrix P and some invertible m by m matrix Q. Equivalent matrices represent the same linear transformation V → W under two… …

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  • 50Matrix Market exchange formats — The Matrix Market exchange formats are a set of human readable, ASCII based file formats designed to facilitate the exchange of matrix data. The file formats were designed and adopted for the Matrix Market, a NIST repository for test data for use …

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