• Thumbnail for Gauss–Newton algorithm
    The GaussNewton algorithm is used to solve non-linear least squares problems, which is equivalent to minimizing a sum of squared function values. It is...
    26 KB (4,177 words) - 23:00, 11 June 2025
  • in least squares curve fitting. The LMA interpolates between the GaussNewton algorithm (GNA) and the method of gradient descent. The LMA is more robust...
    22 KB (3,211 words) - 07:50, 26 April 2024
  • Thumbnail for List of things named after Carl Friedrich Gauss
    Gauss–Kronrod quadrature formula GaussNewton algorithm Gauss–Legendre algorithm Gauss's complex multiplication algorithm Gauss's theorem may refer to the divergence...
    14 KB (1,119 words) - 17:17, 14 July 2025
  • Several researchers have developed algorithms for computing Gauss–Legendre quadrature nodes and weights based on the Newton–Raphson method for finding roots...
    13 KB (1,631 words) - 12:44, 23 July 2025
  • Powell's dog leg method (category Optimization algorithms and methods)
    D. Powell. Similarly to the Levenberg–Marquardt algorithm, it combines the GaussNewton algorithm with gradient descent, but it uses an explicit trust...
    6 KB (879 words) - 07:48, 13 December 2024
  • Thumbnail for Newton's method
    analysis, the Newton–Raphson method, also known simply as Newton's method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces...
    71 KB (9,136 words) - 10:06, 10 July 2025
  • Thumbnail for Newton's method in optimization
    such as Deep Neural Networks. Quasi-Newton method Gradient descent GaussNewton algorithm Levenberg–Marquardt algorithm Trust region Optimization Nelder–Mead...
    12 KB (1,864 words) - 10:11, 20 June 2025
  • Thumbnail for Gaussian elimination
    normal equations of least-squares problems. The algorithm that is taught in high school was named for Gauss only in the 1950s as a result of confusion over...
    33 KB (4,369 words) - 22:29, 19 June 2025
  • {T}}\ \Delta \mathbf {y} .} These equations form the basis for the GaussNewton algorithm for a non-linear least squares problem. Note the sign convention...
    28 KB (4,539 words) - 08:58, 21 March 2025
  • spaces Newton's method in optimization Nonlinear optimization BFGS method: a nonlinear optimization algorithm GaussNewton algorithm: an algorithm for solving...
    72 KB (7,951 words) - 17:13, 5 June 2025
  • Thumbnail for Isaac Newton
    time of when Newton lived, what he had done was much the better half. Mathematician E.T. Bell ranked Newton alongside Carl Friedrich Gauss and Archimedes...
    175 KB (18,745 words) - 23:01, 30 July 2025
  • Thumbnail for Early life of Isaac Newton
    Philosophy of Newton GaussNewton algorithm History of calculus List of independent discoveries Newton's cannonball Newton disc Newton fractal Newton's inequalities...
    47 KB (7,089 words) - 00:28, 18 July 2025
  • averaging. The GaussNewton method may also be used with the minimum number of measurements. While the Gauss-Newton NLLS iterative algorithm is widely used...
    73 KB (9,850 words) - 04:55, 2 August 2025
  • Thumbnail for Least squares
    Least squares (category Optimization algorithms and methods)
    {T}}\Delta \mathbf {y} .} These are the defining equations of the GaussNewton algorithm. The model function, f, in LLSQ (linear least squares) is a linear...
    36 KB (5,243 words) - 23:15, 19 June 2025
  • Thumbnail for Expectation–maximization algorithm
    such as gradient descent, conjugate gradient, or variants of the GaussNewton algorithm. Unlike EM, such methods typically require the evaluation of first...
    50 KB (7,512 words) - 16:40, 23 June 2025
  • Thumbnail for Global Positioning System
    by iteration on a linearized form of the equations, such as the GaussNewton algorithm. The GPS was initially developed assuming use of a numerical least-squares...
    185 KB (19,205 words) - 16:49, 1 August 2025
  • Sir Isaac Newton. Newtonianism, the philosophical principle of applying Newton's methods in a variety of fields GaussNewton algorithm Newton–Cotes formulas...
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  • Thumbnail for Isaac Newton Telescope
    The Isaac Newton Telescope or INT is a 2.54 m (100 in) optical telescope run by the Isaac Newton Group of Telescopes at Roque de los Muchachos Observatory...
    23 KB (1,681 words) - 17:45, 6 January 2025
  • Thumbnail for Carl Friedrich Gauss
    Johann Carl Friedrich Gauss (/ɡaʊs/ ; German: Gauß [kaʁl ˈfʁiːdʁɪç ˈɡaʊs] ; Latin: Carolus Fridericus Gauss; 30 April 1777 – 23 February 1855) was a German...
    181 KB (17,957 words) - 06:24, 31 July 2025
  • Thumbnail for Isaac Newton's apple tree
    Isaac Newton's apple tree at Woolsthorpe Manor represents the inspiration behind Sir Isaac Newton's theory of gravity. While the precise details of Newton's...
    49 KB (4,294 words) - 01:36, 29 July 2025
  • generalized GaussNewton method is a generalization of the least-squares method originally described by Carl Friedrich Gauss and of Newton's method due...
    856 bytes (73 words) - 16:09, 28 September 2024
  • Thumbnail for Isaac Newton Group of Telescopes
    The Isaac Newton Group of Telescopes or ING consists of three optical telescopes: the William Herschel Telescope, the Isaac Newton Telescope, and the Jacobus...
    1 KB (123 words) - 11:51, 2 February 2024
  • calculating the initial coefficients β i {\displaystyle \beta _{i}} , the Gauss-Newton algorithm is used to refine them. The R and T matrices that minimize the reprojection...
    15 KB (2,342 words) - 08:49, 15 May 2024
  • Thumbnail for Fluxion
    Fluxions were introduced by Isaac Newton to describe his form of a time derivative (a derivative with respect to time). Newton introduced the concept in 1665...
    6 KB (704 words) - 02:23, 10 July 2025
  • Gradient descent (category Optimization algorithms and methods)
    Broyden–Fletcher–Goldfarb–Shanno algorithm Davidon–Fletcher–Powell formula Nelder–Mead method GaussNewton algorithm Hill climbing Quantum annealing CLS...
    39 KB (5,600 words) - 19:08, 15 July 2025
  • points of Gauss–Legendre quadrature. The Gauss–Legendre method based on s points has order 2s. All Gauss–Legendre methods are A-stable. The Gauss–Legendre...
    8 KB (1,246 words) - 04:15, 27 February 2025
  • Non-linear least squares GaussNewton algorithm BHHH algorithm — variant of GaussNewton in econometrics Generalized GaussNewton method — for constrained...
    70 KB (8,327 words) - 09:12, 7 June 2025
  • Thumbnail for Matrix completion
    algorithm, alternating minimization-based algorithm, Gauss-Newton algorithm, and discrete-aware based algorithm. The rank minimization problem is NP-hard. One...
    39 KB (6,402 words) - 08:00, 12 July 2025
  • GaussNewton algorithm. This algorithm is very slow but better ones have been proposed such as the project out inverse compositional (POIC) algorithm...
    7 KB (946 words) - 17:43, 29 December 2024
  • Gamma variate GAUSS (software) Gauss's inequality Gauss–Kuzmin distribution Gauss–Markov process Gauss–Markov theorem GaussNewton algorithm Gaussian function...
    87 KB (8,280 words) - 18:37, 30 July 2025