orthogonal matrix

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• Orthogonal matrix — In linear algebra, an orthogonal matrix (less commonly called orthonormal matrix[1]), is a square matrix with real entries whose columns and rows are orthogonal unit vectors (i.e., orthonormal vectors). Equivalently, a matrix Q is orthogonal if… …   Wikipedia

• orthogonal matrix — ortogonalioji matrica statusas T sritis fizika atitikmenys: angl. orthogonal matrix vok. orthogonale Matrix, f rus. ортогональная матрица, f pranc. matrice orthogonale, f …   Fizikos terminų žodynas

• Orthogonal group — Group theory Group theory …   Wikipedia

• Matrix decomposition — In the mathematical discipline of linear algebra, a matrix decomposition is a factorization of a matrix into some canonical form. There are many different matrix decompositions; each finds use among a particular class of problems. Contents 1… …   Wikipedia

• Orthogonal Procrustes problem — The orthogonal Procrustes problem [1] is a matrix approximation problem in linear algebra. In its classical form, one is given two matrices A and B and asked to find an orthogonal matrix R which most closely maps A to B. [2] Specifically …   Wikipedia

• orthogonal — adjective /ɔːˈθɒɡənəl/ a) pertaining to right angles; perpendicular (to) A chord and the radius that bisects it are orthogonal. b) Of two functions, linearly independent; having a zero inner product. The content of the message should be… …   Wiktionary

• Orthogonal — Die Orthogonalität bezeichnet: in der Mathematik das Konzept des Senkrechtstehens und des rechten Winkels (daher die Benennung orthogonal aus dem Griechischen für rechtwinklig); in der Informatik die freie Kombinierbarkeit unabhängiger Konzepte… …   Deutsch Wikipedia

• Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… …   Wikipedia

• Orthogonal diagonalization — In linear algebra, an orthogonal diagonalization of a square matrix is a diagonalization by means of an orthogonal change of coordinates. The following is an orthogonal diagonalization algorithm that diagonalizes a quadratic form q(x) on Rn by… …   Wikipedia

• orthogonal — adjective Etymology: Middle French, from Latin orthogonius, from Greek orthogōnios, from orth + gōnia angle more at gon Date: 1612 1. a. intersecting or lying at right angles b. having perpendicular slopes or tangents at the point of intersection …   New Collegiate Dictionary

• Matrix coefficient — In mathematics, a matrix coefficient (or matrix element) is a function on a group of a special form, which depends on a linear representation of the group and additional data. For the case of a finite group, matrix coefficients express the action …   Wikipedia