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orthogonalization process

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

  • 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

  • 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

  • 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

  • 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

  • Kalman filter — Roles of the variables in the Kalman filter. (Larger image here) In statistics, the Kalman filter is a mathematical method named after Rudolf E. Kálmán. Its purpose is to use measurements observed over time, containing noise (random variations)… …   Wikipedia

  • List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra …   Wikipedia

  • Hartree-Fock — In computational physics and computational chemistry, the Hartree Fock (HF) method is an approximate method for the determination of the ground state wavefunction and ground state energy of a quantum many body system.The Hartree Fock method… …   Wikipedia

  • Orthogonality — The line segments AB and CD are orthogonal to each other. Orthogonality occurs when two things can vary independently, they are uncorrelated, or they are perpendicular. Contents 1 Mathematics …   Wikipedia

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