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Universalium. 2010.
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
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
Procédé de Gram-Schmidt — En algèbre linéaire, dans un espace préhilbertien (c est à dire un espace vectoriel sur le corps des réels ou celui des complexes, muni d un produit scalaire), le procédé de Gram Schmidt[1] est un algorithme pour construire, à partir d une… … Wikipédia en Français
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
Arnoldi iteration — In numerical linear algebra, the Arnoldi iteration is an eigenvalue algorithm and an important example of iterative methods. Arnoldi finds the eigenvalues of general (possibly non Hermitian) matrices; an analogous method for Hermitian matrices is … Wikipedia
Lie group decomposition — In mathematics, Lie group decompositions are used to analyse the structure of Lie groups and associated objects, by showing how they are built up out of subgroups. They are essential technical tools in the representation theory of Lie groups and… … Wikipedia
Differential geometry of curves — This article considers only curves in Euclidean space. Most of the notions presented here have analogues for curves in Riemannian and pseudo Riemannian manifolds. For a discussion of curves in an arbitrary topological space, see the main article… … Wikipedia
Iwasawa decomposition — In mathematics, the Iwasawa decomposition KAN of a semisimple Lie group generalises the way a square real matrix can be written as a product of an orthogonal matrix and an upper triangular matrix (a consequence of Gram Schmidt orthogonalization) … Wikipedia
Zernike polynomials — Plots of the values in the unit disk.In mathematics, the Zernike polynomials are a sequence of polynomials that are orthogonal on the unit disk. Named after Frits Zernike, they play an important role in geometrical optics. DefinitionsThere are… … Wikipedia
Morse-Palais lemma — In mathematics, the Morse Palais lemma is a result in the calculus of variations and theory of Hilbert spaces. Roughly speaking, it states that a smooth enough function near a critical point can be expressed as a quadratic form after a suitable… … Wikipedia
