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alternate case: iterative method

Simple rational approximation (714 words) [view diff] exact match in snippet view article find links to article

Edmond Halley. Halley's formula is known as one-point third-order iterative method to solve f ( x ) = 0 {\displaystyle \,f(x)=0} by means of approximating
Iterative and incremental development (1,781 words) [view diff] exact match in snippet view article find links to article
incremental development is any combination of both iterative design (or iterative method) and incremental build model for development. Usage of the term began
Philipp Ludwig von Seidel (178 words) [view diff] exact match in snippet view article find links to article
and Hermann Wiener. The Gauss–Seidel method is a useful numerical iterative method for solving linear systems. Seidel triangle "Philipp Ludwig von Seidel"
Neumann–Neumann methods (562 words) [view diff] exact match in snippet view article find links to article
{\textstyle n_{i}} is the unit normal vector to Γ in each subdomain. An iterative method with iterations k = 0, 1, ... for the approximation of each ui (i =
Descent direction (296 words) [view diff] exact match in snippet view article find links to article
\mathbb {R} } . Computing x ∗ {\displaystyle \mathbf {x} ^{*}} by an iterative method, such as line search defines a descent direction p k ∈ R n {\displaystyle
Early stopping (1,836 words) [view diff] exact match in snippet view article find links to article
regularization used to avoid overfitting when training a model with an iterative method, such as gradient descent. Such methods update the model to make it
Cavity method (540 words) [view diff] exact match in snippet view article find links to article
applicability. It can be regarded as a generalization of the Bethe–Peierls iterative method in tree-like graphs, to the case of a graph with loops that are not
Quickprop (260 words) [view diff] exact match in snippet view article find links to article
Quickprop is an iterative method for determining the minimum of the loss function of an artificial neural network, following an algorithm inspired by the
Fast sweeping method (292 words) [view diff] exact match in snippet view article find links to article
{\displaystyle |\cdot |} is the Euclidean norm. The fast sweeping method is an iterative method which uses upwind difference for discretization and uses Gauss–Seidel
Moore–Penrose inverse (7,712 words) [view diff] case mismatch in snippet view article find links to article
Torsten; Stewart, G. W. (1974). "On the Numerical Properties of an Iterative Method for Computing the Moore–Penrose Generalized Inverse". SIAM Journal
Auction algorithm (802 words) [view diff] exact match in snippet view article find links to article
highest bidders. The original form of the auction algorithm is an iterative method to find the optimal prices and an assignment that maximizes the net
Hans Jörg Stetter (459 words) [view diff] exact match in snippet view article find links to article
astronomer Pedro E. Zadunaisky, Stetter developed in the 1970s an iterative method, now called the defect correction method, for error estimation in ODEs
Andrei Knyazev (mathematician) (904 words) [view diff] exact match in snippet view article
large sparse eigenvalue problems, particularly preconditioning and the iterative method LOBPCG. Knyazev's implementation of LOBPCG is available in many open
Z-matrix (mathematics) (338 words) [view diff] exact match in snippet view article
5-1. Huan T.; Cheng G.; Cheng X. (1 April 2006). "Modified SOR-type iterative method for Z-matrices". Applied Mathematics and Computation. 175 (1): 258–268
Square root algorithms (12,345 words) [view diff] exact match in snippet view article find links to article
{d^{3}}{16N^{6}}}-{\frac {5d^{4}}{128N^{8}}}+\cdots \right)} As an iterative method, the order of convergence is equal to the number of terms used. With
MUSCLE (alignment software) (1,840 words) [view diff] exact match in snippet view article
using the iterative method of alignment. These two methods differ in their ability to handle low similarity sequences with the iterative method providing
Two-body problem in general relativity (6,774 words) [view diff] exact match in snippet view article find links to article
approximation method to be developed was the post-Newtonian expansion, an iterative method in which an initial solution is gradually corrected. More recently
Ho–Kashyap rule (1,151 words) [view diff] exact match in snippet view article find links to article
The Ho–Kashyap algorithm is an iterative method in machine learning for finding a linear decision boundary that separates two linearly separable classes
Waring's problem (3,128 words) [view diff] exact match in snippet view article find links to article
445–463. doi:10.1112/plms/s3-52.3.445. Vaughan, R. C. (1989). "A new iterative method in Waring's problem". Acta Mathematica. 162: 1–71. doi:10.1007/BF02392834
Network utility (323 words) [view diff] case mismatch in snippet view article find links to article
Unix & Linux Commands". Unix.com. Retrieved 15 April 2016. Optimal Iterative Method for Network Utility Maximization with Intertemporal Constraints Utility
Atmospheric sounding (929 words) [view diff] exact match in snippet view article find links to article
singular value decomposition. If the problem is weakly nonlinear, an iterative method such Newton–Raphson may be appropriate. Sometimes the physics is too
Mean shift (1,995 words) [view diff] exact match in snippet view article find links to article
function given discrete data sampled from that function. This is an iterative method, and we start with an initial estimate x {\displaystyle x} . Let a
Sinkhorn's theorem (707 words) [view diff] exact match in snippet view article find links to article
positive number and dividing the second one by the same number. A simple iterative method to approach the double stochastic matrix is to alternately rescale
Deconvolution (1,971 words) [view diff] exact match in snippet view article find links to article
Idriss; Jacquey, Serge (1994). "Algebraic analysis of the Van Cittert iterative method of deconvolution with a general relaxation factor". J. Opt. Soc. Am
Weng Cho Chew (3,183 words) [view diff] exact match in snippet view article find links to article
two-dimensional permittivity distribution using the distorted Born iterative method". IEEE Transactions on Medical Imaging. 9 (2): 218–225. doi:10.1109/42
Carbon nanotube field-effect transistor (4,615 words) [view diff] exact match in snippet view article find links to article
the self-consistent voltage equation is to use the Newton–Raphson iterative method. According to the CNT ballistic transport theory, the drain current
Ramer–Douglas–Peucker algorithm (1,191 words) [view diff] exact match in snippet view article find links to article
complexity to a range between O(n) and O(2n) through the application of an iterative method. The running time for digital elevation model generalization using
Slope (2,704 words) [view diff] exact match in snippet view article find links to article
gradient method to nonlinear optimization Stochastic gradient descent, iterative method for optimizing a differentiable objective function Euclidean distance
Slack bus (1,061 words) [view diff] case mismatch in snippet view article find links to article
required. The following methods are commonly used algorithms: Gauss Iterative Method - V i = 1 Y i i ( P i − j Q i V i − ∑ k = 1 n Y i k V i k ) {\displaystyle
Attribute-driven design (584 words) [view diff] exact match in snippet view article find links to article
book Software architecture in practice the authors describe ADD as an iterative method that, at each iteration, helps the architect to do the following steps:
Julia Robinson (2,168 words) [view diff] case mismatch in snippet view article find links to article
salesman problem". Shortly thereafter she published a paper called "An Iterative Method of Solving a Game" in 1951. In her paper, she proved that the fictitious
MM algorithm (652 words) [view diff] exact match in snippet view article find links to article
\theta _{m+1}=\arg \max _{\theta }g(\theta |\theta _{m})} The above iterative method will guarantee that f ( θ m ) {\displaystyle f(\theta _{m})} will converge
Transimpedance amplifier (1,824 words) [view diff] exact match in snippet view article find links to article
compensation is the resulting small value of the capacitor, and the iterative method often required to optimize the value. There is no explicit formula
GeoModeller (503 words) [view diff] exact match in snippet view article find links to article
constrained inverse modelling of this data. That inversion is based on an iterative method, which is applied to a discrete version of the domain under study.
Image stitching (2,908 words) [view diff] exact match in snippet view article find links to article
RANSAC is an abbreviation for "RANdom SAmple Consensus". It is an iterative method for robust parameter estimation to fit mathematical models from sets
Divide-and-conquer algorithm (2,894 words) [view diff] exact match in snippet view article find links to article
algorithm may yield more accurate results than a superficially equivalent iterative method. For example, one can add N numbers either by a simple loop that adds
Aboodh transform (453 words) [view diff] case mismatch in snippet view article find links to article
Ojo, Gbenga O.; Mahmudov, Nazim I. (January 2021). "Aboodh Transform Iterative Method for Spatial Diffusion of a Biological Population with Fractional-Order"
Wassily Leontief (2,596 words) [view diff] exact match in snippet view article find links to article
Input–output was novel and inspired large-scale empirical work; in 2010 its iterative method was recognized as an early intellectual precursor to Google's PageRank
Ekos Research Associates (2,041 words) [view diff] case mismatch in snippet view article find links to article
applies multi-variable iterative weighting procedures (such as Random Iterative Method or RIM weighting) to adjust its survey samples. These adjustments typically
Isotope dilution (2,595 words) [view diff] exact match in snippet view article find links to article
quantitative analysis by isotope dilution mass spectrometry (IDMS): an iterative method". Fresenius' J. Anal. Chem. 350 (12): 657–658. doi:10.1007/BF00323658
Linear predictor function (2,134 words) [view diff] no match in snippet view article find links to article
regularization constraint (which necessitates a more powerful, typically iterative, method for finding the optimal coefficients). Linear model Linear regression
SnapPea (831 words) [view diff] exact match in snippet view article find links to article
edge equations and cusp (completeness) equations. SnapPea uses an iterative method utilizing Newton's method to search for solutions. If no solution exists
Advanced Very-High-Resolution Radiometer (2,864 words) [view diff] exact match in snippet view article find links to article
ocean, an initial minimum guess to the calibration slope is made. An iterative method is then used to achieve the optimal slope values for Ch. 1 with slope
Daniel B. Szyld (773 words) [view diff] case mismatch in snippet view article find links to article
Alma mater Courant Institute, New York University Thesis A Two-level Iterative Method for Large Sparse Generalized Eigenvalue Calculations (1983) Doctoral
Transcendental equation (2,140 words) [view diff] exact match in snippet view article find links to article
taking the derivative of f ( x ) {\displaystyle f(x)} , is a common iterative method of approximating a root; an initial guess x 0 {\displaystyle x_{0}}
Vladimir Gerdt (736 words) [view diff] case mismatch in snippet view article find links to article
D11-83-511, Dubna, 1983, 171–177. Gerdt, Vladimir P., Aleksey Y.Zharkov. "Iterative Method of Construction of General Solution of the Chew-Low Equation", Proceedings
Broyden's method (1,994 words) [view diff] exact match in snippet view article find links to article
For the DFP method, ϕ k = 1 {\displaystyle \phi _{k}=1} . Anderson's iterative method, which uses a least squares approach to the Jacobian. Schubert's or
Per Martin-Löf (2,874 words) [view diff] exact match in snippet view article find links to article
family. Scand. J. Statist. 1 (1974), no. 2, 49—58. Sundberg, Rolf An iterative method for solution of the likelihood equations for incomplete data from exponential
Richardson–Lucy deconvolution (2,155 words) [view diff] case mismatch in snippet view article find links to article
additive noise) Richardson, William Hadley (1972). "Bayesian-Based Iterative Method of Image Restoration". Journal of the Optical Society of America. 62
Informant (statistics) (2,601 words) [view diff] exact match in snippet view article
model to be estimated and S is the score. The scoring algorithm is an iterative method for numerically determining the maximum likelihood estimator. Note
Kaviraj Sukon (385 words) [view diff] exact match in snippet view article find links to article
general. He invented the two-parameter alternative group explicit (TAGE) iterative method for solving a tridiagonal linear system of equations, which is now
PageRank (8,871 words) [view diff] exact match in snippet view article find links to article
PageRank can be computed either iteratively or algebraically. The iterative method can be viewed as the power iteration method or the power method. The
Peter F. C. Gilbert (870 words) [view diff] exact match in snippet view article find links to article
developed Simultaneous Iterative Reconstruction Technique (SIRT) – an iterative method for reconstructing the three-dimensional structure of objects from
Localized molecular orbitals (2,099 words) [view diff] exact match in snippet view article find links to article
method invokes an iterative procedure to localize the orbitals, a non-iterative method has also been recently suggested. Organic chemistry is often discussed
Dirichlet's theorem on arithmetic progressions (3,529 words) [view diff] exact match in snippet view article find links to article
in each of them. We can generate some forms of primes by using an iterative method. For example, we can generate primes of the form 4 n + 3 {\displaystyle
Ferenc Forgó (1,727 words) [view diff] exact match in snippet view article find links to article
1016/0167-188X(87)90039-5. ISSN 0167-188X. Forgó, Ferenc (1990). "An iterative method for solving decomposable nonlinear equation systems". Pure Mathematics
Ultima Underworld: The Stygian Abyss (6,124 words) [view diff] exact match in snippet view article find links to article
done, and we'd say, 'Eh? That's not working.'" He believed that this iterative method was useful overall, but that it entailed an abnormally large workload:
Thermal simulations for integrated circuits (2,063 words) [view diff] exact match in snippet view article find links to article
formulated using either the Ritz or Galerkin method. Finally, a direct or iterative method is employed to solve the system of linear equations. For the thermal
John J. Uicker (1,020 words) [view diff] exact match in snippet view article find links to article
authors list (link) J. J. Uicker, JR., J. Denavit, R. S.Hartengerg, "An iterative method for the Displacement Analysis of Spatial Mechanisms", Journal of Applied
Finite element method (7,797 words) [view diff] exact match in snippet view article find links to article
used only with certain quadrature rules. Loubignac iteration is an iterative method in finite element methods. The crystal plasticity finite element method
Stein-Rosenberg theorem (391 words) [view diff] exact match in snippet view article find links to article
Interpreted in a more practical way, not only is the point Gauss-Seidel iterative method computationally more convenient to use (because of storage requirements)
Product of exponentials formula (1,116 words) [view diff] exact match in snippet view article find links to article
use of nonlinear root-finding methods, such as the Newton-Raphson iterative method (Newton's method). The product of exponentials method uses only two
Slope stability analysis (4,875 words) [view diff] exact match in snippet view article find links to article
{\displaystyle u} is the water pressure at the base of each slice. An iterative method has to be used to solve for F {\displaystyle F} because the factor
Multiple sequence alignment (6,221 words) [view diff] exact match in snippet view article find links to article
Non-homologous exon alignment by an iterative method (a), and by a phylogeny-aware method (b)
Pokémon Sword and Shield (7,317 words) [view diff] exact match in snippet view article find links to article
incorporate all desired elements; this approach replaced their previous iterative method, which became impractical due to the complexities of the game's 3D
Darcy–Weisbach equation (5,131 words) [view diff] exact match in snippet view article find links to article
equation. While the Colebrook–White relation is, in the general case, an iterative method, the Swamee–Jain equation allows fD to be found directly for full flow
Recursion (computer science) (7,388 words) [view diff] exact match in snippet view article
linear search in a list, which is a singly recursive and thus naturally iterative method. Other examples include divide-and-conquer algorithms such as Quicksort
Cellular neural network (10,029 words) [view diff] case mismatch in snippet view article find links to article
is prohibitive, there are mathematical techniques, such as Jacobi’s Iterative Method or Forward-Backward Recursions that can be used to derive the steady
Square root of a matrix (4,560 words) [view diff] exact match in snippet view article find links to article
{\displaystyle Z_{k}} converges to its inverse, A−1/2. Yet another iterative method is obtained by taking the well-known formula of the Babylonian method
Logarithm (11,673 words) [view diff] exact match in snippet view article find links to article
logarithm table that provides a fixed precision. Newton's method, an iterative method to solve equations approximately, can also be used to calculate the
Joseph Rosen (professor) (1,727 words) [view diff] case mismatch in snippet view article
2022-11-01. Richardson, William Hadley (1972-01-01). "Bayesian-Based Iterative Method of Image Restoration*". Journal of the Optical Society of America.
Widlar current source (2,726 words) [view diff] exact match in snippet view article find links to article
problem is finding the current when the resistor values are known. An iterative method is described next. Assume the current source is biased so the collector-base
Fictitious play (774 words) [view diff] case mismatch in snippet view article find links to article
and Woodstock: Princeton University Press. Robinson, J. (1951) "An Iterative Method of Solving a Game", Annals of Mathematics 54, 296–301. Shapley L. (1964)
List of algorithms (7,925 words) [view diff] exact match in snippet view article find links to article
theorem RANSAC (an abbreviation for "RANdom SAmple Consensus"): an iterative method to estimate parameters of a mathematical model from a set of observed
Protein design (7,716 words) [view diff] exact match in snippet view article find links to article
Diels-Alder reaction. Furthermore, Stephen Mayo and coworkers developed an iterative method to design the most efficient known enzyme for the Kemp-elimination
LOBPCG (4,443 words) [view diff] exact match in snippet view article find links to article
:= I {\displaystyle T:=I} and so w := r {\displaystyle w:=r} . An iterative method x i + 1 := x i + α i T ( A x i − ρ ( x i ) B x i ) , {\displaystyle
Iterative proportional fitting (3,464 words) [view diff] exact match in snippet view article find links to article
method. Transportation Research 15B, 239-248. Stephan, F. F. (1942). "Iterative method of adjusting frequency tables when expected margins are known". Annals
Ellipse (16,581 words) [view diff] exact match in snippet view article find links to article
Gauss's arithmetic-geometric mean; this is a quadratically converging iterative method (see here for details). The exact infinite series is: C 2 π a = 1 −
Lambert's problem (2,431 words) [view diff] exact match in snippet view article find links to article
containing an algorithm for providing an accurate guess for the householder iterative method that is as accurate as Gooding's Procedure while computationally more
Inverse problem (9,119 words) [view diff] case mismatch in snippet view article find links to article
number (link) Patric Figueiredo (December 2014). Development Of An Iterative Method For Solving Multidimensional Inverse Heat Conduction Problems. Lehrstuhl
Computational phylogenetics (8,227 words) [view diff] exact match in snippet view article find links to article
alignment by maximizing a cladogram score, and its companion POY uses an iterative method that couples the optimization of the phylogenetic tree with improvements
L1-norm principal component analysis (2,336 words) [view diff] exact match in snippet view article find links to article
approximate solution of L1-PCA for K = 1 {\displaystyle K=1} . This iterative method was later generalized for K > 1 {\displaystyle K>1} components. Another
Egalitarian item allocation (2,988 words) [view diff] exact match in snippet view article find links to article
{n}}\cdot \log ^{3}n)} -approximation algorithm. Their algorithm uses an iterative method for rounding a fractional matching on a tree. They also provide better
Active contour model (4,066 words) [view diff] exact match in snippet view article find links to article
\beta (s)} are constant with respect to s {\displaystyle s} , this iterative method can be simplified to v ¯ i ← v ¯ i − γ { w internal [ α ∂ 2 v ¯ ∂ s
Ghosting (medical imaging) (1,639 words) [view diff] exact match in snippet view article
reconstruction of the image, which can contain ghosting artifacts. The iterative method is then applied to reduce the ghosting artifacts. As this is a post-processing
Reed–Solomon error correction (12,685 words) [view diff] exact match in snippet view article find links to article
The final value of C is the error locator polynomial, Λ(x). Another iterative method for calculating both the error locator polynomial and the error value
Perturbation theory (quantum mechanics) (16,011 words) [view diff] exact match in snippet view article
particular energies; or the Dyson series, obtained by applying the iterative method to the time evolution operator, which is one of the starting points
Numerical Electromagnetics Code (4,490 words) [view diff] exact match in snippet view article find links to article
integral equation (MFIE) for closed, conducting surfaces. It uses an iterative method to calculate the currents in a set of wires, and the fields that result
Determination of equilibrium constants (7,173 words) [view diff] exact match in snippet view article find links to article
molar absorbances of all "coloured" species are found by using the non-iterative method of linear least-squares, one wavelength at a time. The calculations
Identity replacement technology (3,954 words) [view diff] exact match in snippet view article find links to article
online and through social media. The targeted-identity-protection-iterative method(TIP-IM) is used for this type of image-privacy protection. The method
Magic square (21,971 words) [view diff] exact match in snippet view article find links to article
multiplicative magic squares include: Still using Ali Skalli's non iterative method, it is possible to produce an infinity of multiplicative magic squares
Electron backscatter diffraction (13,759 words) [view diff] exact match in snippet view article find links to article
Abdalrhaman; Tong, Vivian; Wilkinson, Angus J.; Marrow, T. James (2023). "An iterative method for reference pattern selection in high-resolution electron backscatter
Charge based boundary element fast multipole method (3,485 words) [view diff] exact match in snippet view article find links to article
initial guess is refined, etc. This solution employs the simple Jacobi iterative method. The more rigorous generalized minimum residual method (GMRES) yields
Dark-field X-ray microscopy (3,881 words) [view diff] exact match in snippet view article find links to article
Vivian; Wilkinson, Angus J.; Marrow, T. James (1 June 2023). "An iterative method for reference pattern selection in high-resolution electron backscatter
Lattice and bridged-T equalizers (6,828 words) [view diff] exact match in snippet view article find links to article
Attenuation plot for iterative method
Seismic velocity structure (7,596 words) [view diff] exact match in snippet view article find links to article
events. Full Waveform Inversion (FWI) Full Waveform Inversion is an iterative method used to fine-tune models of the Earth's subsurface by adjusting them