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- Conjugate_gradient_method abstract "In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose matrix is symmetric and positive-definite. The conjugate gradient method is often implemented as an iterative algorithm, applicable to sparse systems that are too large to be handled by a direct implementation or other direct methods such as the Cholesky decomposition. Large sparse systems often arise when numerically solving partial differential equations or optimization problems.The conjugate gradient method can also be used to solve unconstrained optimization problems such as energy minimization. It was mainly developed by Magnus Hestenes and Eduard Stiefel. Magnus Hestenes and Eduard Stiefe in 1952: — The method of conjugate gradients was developed independently by E. Stiefel of the Institute of Applied Mathematics at Zurich and by M. R. Hestenes with the cooperation of J. B. Rosser, G. Forsythe, and L. Paige of the Institute for Numerical Analysis, National Bureau of Standards. [...] Recently, C. Lanczos developed a closely related routine based on his earlier paper on eigenvalue problem.The biconjugate gradient method provides a generalization to non-symmetric matrices. Various nonlinear conjugate gradient methods seek minima of nonlinear equations.".
- Conjugate_gradient_method thumbnail Conjugate_gradient_illustration.svg?width=300.
- Conjugate_gradient_method wikiPageExternalLink jresv45n4p255_A1b.pdf.
- Conjugate_gradient_method wikiPageExternalLink books.html.
- Conjugate_gradient_method wikiPageExternalLink painless-conjugate-gradient.pdf.
- Conjugate_gradient_method wikiPageExternalLink ?p=conjugate.gradient.method.
- Conjugate_gradient_method wikiPageExternalLink lsqr.
- Conjugate_gradient_method wikiPageID "1448821".
- Conjugate_gradient_method wikiPageRevisionID "643328517".
- Conjugate_gradient_method hasPhotoCollection Conjugate_gradient_method.
- Conjugate_gradient_method id "p/c025030".
- Conjugate_gradient_method title "Conjugate gradients, method of".
- Conjugate_gradient_method subject Octave_code.
- Conjugate_gradient_method subject Category:Articles_with_example_pseudocode.
- Conjugate_gradient_method subject Category:Gradient_methods.
- Conjugate_gradient_method subject Category:Numerical_linear_algebra.
- Conjugate_gradient_method type Ability105616246.
- Conjugate_gradient_method type Abstraction100002137.
- Conjugate_gradient_method type Cognition100023271.
- Conjugate_gradient_method type GradientMethods.
- Conjugate_gradient_method type Know-how105616786.
- Conjugate_gradient_method type Method105660268.
- Conjugate_gradient_method type PsychologicalFeature100023100.
- Conjugate_gradient_method type Thing.
- Conjugate_gradient_method comment "In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose matrix is symmetric and positive-definite. The conjugate gradient method is often implemented as an iterative algorithm, applicable to sparse systems that are too large to be handled by a direct implementation or other direct methods such as the Cholesky decomposition.".
- Conjugate_gradient_method label "CG-Verfahren".
- Conjugate_gradient_method label "Conjugate gradient method".
- Conjugate_gradient_method label "Konjugált gradiens módszer".
- Conjugate_gradient_method label "Metoda gradientu sprzężonego".
- Conjugate_gradient_method label "Metodo del gradiente coniugato".
- Conjugate_gradient_method label "Méthode du gradient conjugué".
- Conjugate_gradient_method label "Método del gradiente conjugado".
- Conjugate_gradient_method label "Método do gradiente conjugado".
- Conjugate_gradient_method label "Метод сопряжённых градиентов (для решения СЛАУ)".
- Conjugate_gradient_method label "共役勾配法".
- Conjugate_gradient_method label "켤레기울기법".
- Conjugate_gradient_method seeAlso Preconditioner.
- Conjugate_gradient_method sameAs CG-Verfahren.
- Conjugate_gradient_method sameAs Método_del_gradiente_conjugado.
- Conjugate_gradient_method sameAs Méthode_du_gradient_conjugué.
- Conjugate_gradient_method sameAs Metodo_del_gradiente_coniugato.
- Conjugate_gradient_method sameAs 共役勾配法.
- Conjugate_gradient_method sameAs 켤레기울기법.
- Conjugate_gradient_method sameAs Metoda_gradientu_sprzężonego.
- Conjugate_gradient_method sameAs Método_do_gradiente_conjugado.
- Conjugate_gradient_method sameAs m.052fr3.
- Conjugate_gradient_method sameAs Q1191895.
- Conjugate_gradient_method sameAs Q1191895.
- Conjugate_gradient_method sameAs Conjugate_gradient_method.
- Conjugate_gradient_method wasDerivedFrom Conjugate_gradient_method?oldid=643328517.
- Conjugate_gradient_method depiction Conjugate_gradient_illustration.svg.
- Conjugate_gradient_method isPrimaryTopicOf Conjugate_gradient_method.
