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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 aNeumann–Neumann methods (538 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=1,2)Descent direction (275 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 pk∈Rn{\displaystylePhilipp 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"Early stopping (1,766 words) [view diff] exact match in snippet view article find links to article
regularization used to avoid overfitting when training a learner with an iterative method, such as gradient descent. Such methods update the learner so as toCavity method (504 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 notAlternating-direction implicit method (3,234 words) [view diff] exact match in snippet view article find links to article
linear algebra, the alternating-direction implicit (ADI) method is an iterative method used to solve Sylvester matrix equations. It is a popular method forK q-flats (2,217 words) [view diff] exact match in snippet view article find links to article
In data mining and machine learning, k q-flats algorithm is an iterative method which aims to partition m observations into k clusters where each clusterQuickprop (254 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 theFast sweeping method (256 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–SeidelMoore–Penrose inverse (7,034 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 JournalAuction algorithm (798 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 netLandweber iteration (989 words) [view diff] exact match in snippet view article find links to article
− y ‖ 2 2 / 2 {\displaystyle \min _{x}\|Ax-y\|_{2}^{2}/2} using an iterative method. The algorithm is given by the update x k + 1 = x k − ω A ∗ ( A x kZ-matrix (mathematics) (315 words) [view diff] exact match in snippet view article
Huan T.; Cheng G.; Cheng X. (1 April 2006). "Modified SOR-type iterative method for Z-matrices". Applied Mathematics and Computation. 175 (1): 258–268Methods of computing square roots (10,917 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. WithAndrei Knyazev (mathematician) (902 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 openHans 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 ODEsTwo-body problem in general relativity (6,141 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 recentlyVariable splitting (472 words) [view diff] exact match in snippet view article find links to article
relaxed problem provides a "warm start", a good initialization of an iterative method for solving the original problem (having only the x variable). ThisTokamak (software) (229 words) [view diff] exact match in snippet view article
exchange with other physics engine possible. Tokamak features a unique iterative method for solving constraints. This is claimed to allow developers to makeNetwork utility (313 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 UtilityEngset formula (588 words) [view diff] exact match in snippet view article find links to article
longer compute the blocking probability directly, and must use an iterative method instead. While a fixed-point iteration is tempting, it has been shownFictitious play (657 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)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 tooAboodh transform (557 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"Mean shift (1,935 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 kernelSinkhorn's theorem (668 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 rescaleDeconvolution (1,960 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. AmDeconvolution (1,960 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. AmCarbon nanotube field-effect transistor (4,523 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 currentRanking (information retrieval) (1,789 words) [view diff] exact match in snippet view article
in the field of economics. In 1941, Wassily Leontief developed an iterative method of valuing a country's sector based on the importance of other sectorsSlack bus (1,035 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 ) {\displaystyleAttribute-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:GeoModeller (495 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.Slope (2,736 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 distanceMM algorithm (648 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 convergeWeng Cho Chew (3,080 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:10.1109/42Image stitching (2,784 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 setsTransimpedance amplifier (1,825 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 formulaDivide-and-conquer algorithm (2,598 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 addsQR algorithm (2,416 words) [view diff] exact match in snippet view article find links to article
Golub & Kahan (1965). The LAPACK subroutine DBDSQR implements this iterative method, with some modifications to cover the case where the singular valuesJulia Robinson (2,176 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.: 7 In her paper, she proved that the fictitiousIsotope dilution (2,470 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/BF00323658SnapPea (828 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 existsLinear 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 regressionAdvanced very-high-resolution radiometer (2,818 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 slopeRichardson–Lucy deconvolution (1,970 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. 62Waring's problem (2,703 words) [view diff] exact match in snippet view article find links to article
Mat. Sb., N. Ser. 12 (54), 225–230 (1943). R. C. Vaughan, "A new iterative method in Waring's problem". Acta Mathematica (162), 1–71 (1989). I. M. VinogradovAlternating conditional expectations (961 words) [view diff] exact match in snippet view article find links to article
part are difficult to compute directly. As an alternative, ACE is an iterative method to calculate the optimal transformations. The procedure of ACE hasVladimir 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", ProceedingsInformant (statistics) (2,661 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. NoteWassily Leontief (2,587 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 PageRankDarcy–Weisbach equation (4,441 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 flowPageRank (8,964 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. TheRecursion (computer science) (7,194 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 QuicksortFinite element method (6,828 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 methodLocalized molecular orbitals (2,076 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 discussedPeter 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 fromJohn J. Uicker (986 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 AppliedPokémon Sword and Shield (5,934 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 3DStein-Rosenberg theorem (366 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)Per Martin-Löf (2,868 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 exponentialThermal simulations for integrated circuits (1,944 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 thermalUltima Underworld: The Stygian Abyss (5,876 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:Product of exponentials formula (1,056 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 twoLogarithm (11,214 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 theDaniel B. Szyld (753 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) DoctoralSquare root of a matrix (4,351 words) [view diff] exact match in snippet view article find links to article
Zk{\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 methodSlope stability analysis (4,762 words) [view diff] exact match in snippet view article find links to article
u{\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 ofWidlar current source (2,400 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-baseFerenc 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 MathematicsMultiple sequence alignment (6,323 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)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 steadyEllipse (14,195 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:List of algorithms (7,908 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 observedIterative proportional fitting (3,211 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". AnnalsJoseph Rosen (professor) (1,700 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.Protein design (7,247 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-eliminationLOBPCG (4,314 words) [view diff] exact match in snippet view article find links to article
we set T:=I{\displaystyle T:=I} and so w:=r{\displaystyle w:=r}. An iterative method xi+1:=xi+αiT(Axi−ρ(xi)Bxi),{\displaystyle x^{i+1}:=x^{i}+\alpha ^{i}T(Ax^{i}-\rhoInverse problem (8,652 words) [view diff] case mismatch in snippet view article find links to article
S2CID 213914582. Patric Figueiredo (December 2014). Development Of An Iterative Method For Solving Multidimensional Inverse Heat Conduction Problems. LehrstuhlWizard of Oz experiment (2,676 words) [view diff] exact match in snippet view article find links to article
addressed the obvious criticism that it would be unrealistic to use an iterative method to build a separate natural language system (dictionaries, syntax)Lambert's problem (2,170 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 moreDetermination of equilibrium constants (5,255 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 calculationsComputational phylogenetics (8,072 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 improvementsEgalitarian item allocation (2,789 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 betterActive contour model (3,857 words) [view diff] exact match in snippet view article find links to article
β(s){\displaystyle \beta (s)} are constant with respect to s{\displaystyle s}, this iterative method can be simplified to v¯i←v¯i−γ{winternal[α∂2v¯∂s2(v¯i)+β∂4v¯∂s4(v¯Perturbation theory (quantum mechanics) (13,442 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 pointsReed–Solomon error correction (11,094 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 valueGhosting (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-processingL1-norm principal component analysis (2,279 words) [view diff] exact match in snippet view article find links to article
the approximate solution of L1-PCA for K=1{\displaystyle K=1}. This iterative method was later generalized for K>1{\displaystyle K>1} components. AnotherNumerical Electromagnetics Code (4,489 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 resultMagic square (22,188 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 squaresIdentity replacement technology (3,950 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 methodPrices of production (15,152 words) [view diff] exact match in snippet view article find links to article
iterative methods to show a convergence of prices and values. The iterative method was first used by George Charasoff in 1910, and subsequently developedElectron backscatter diffraction (13,472 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 backscatterDark-field X-ray microscopy (3,800 words) [view diff] exact match in snippet view article find links to article
Tong, Vivian; Wilkinson, Angus J.; Marrow, T. James (2023-06-01). "An iterative method for reference pattern selection in high-resolution electron backscatterCharge based boundary element fast multipole method (3,390 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) yieldsLattice and bridged-T equalizers (6,856 words) [view diff] exact match in snippet view article find links to article
Attenuation plot for iterative methodSeismic velocity structure (7,558 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