orthogonalization
noun see orthogonalize

New Collegiate Dictionary. 2001.

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  • Orthogonalization — In linear algebra, orthogonalization is the process of finding a set of orthogonal vectors that span a particular subspace. Formally, starting with a linearly independent set of vectors {v1,...,vk} in an inner product space (most commonly the… …   Wikipedia

  • orthogonalization — ortogonalizacija statusas T sritis fizika atitikmenys: angl. orthogonalization vok. Orthogonalisierung, f rus. ортогонализация, f pranc. orthogonalisation, f …   Fizikos terminų žodynas

  • orthogonalization — ortogonalizavimas statusas T sritis fizika atitikmenys: angl. orthogonalization vok. Orthogonalisierung, f rus. ортогонализация, f pranc. orthogonalisation, f …   Fizikos terminų žodynas

  • orthogonalization — noun The process of converting a set of functions or vectors into orthogonal ones See Also: orthogonal …   Wiktionary

  • orthogonalization — or·thog·o·nal·iza·tion …   English syllables

  • orthogonalization — ȯ(r)ˌthägənələ̇ˈzāshən, gnəl , (ə)lˌīˈz noun ( s) Etymology: orthogonalize + ation : the replacement of a set of vectors by a linearly equivalent set of orthogonal vectors …   Useful english dictionary

  • Gram-Schmidt orthogonalization — /gram shmit /, Math. a process for constructing an orthogonal basis for a Euclidean space, given any basis for the space. [named after Jörgen Pedersen Gram (1850 1916), Danish mathematician, and Erhard Schmidt (1876 1959), German mathematician] * …   Universalium

  • Gram-Schmidt orthogonalization — /gram shmit /, Math. a process for constructing an orthogonal basis for a Euclidean space, given any basis for the space. [named after Jörgen Pedersen Gram (1850 1916), Danish mathematician, and Erhard Schmidt (1876 1959), German mathematician] …   Useful english dictionary

  • orthogonalize — orthogonalization, n. /awr thog euh nl uyz /, v.t., orthogonalized, orthogonalizing. Math. to make (vectors, functions, etc.) orthogonal. Also, esp. Brit., orthogonalise. [1925 30; ORTHOGONAL + IZE] * * * …   Universalium

  • Gram–Schmidt process — In mathematics, particularly linear algebra and numerical analysis, the Gram–Schmidt process is a method for orthogonalizing a set of vectors in an inner product space, most commonly the Euclidean space R n . The Gram–Schmidt process takes a… …   Wikipedia

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