Found 409 Documents (Results 1–100)
Newton’s method in practice. II: The iterated refinement Newton method and near-optimal complexity for finding all roots of some polynomials of very large degrees. (English) Zbl 1522.65075
Exact solution approaches for a class of bilevel fractional programs. (English) Zbl 1511.90393
MSC:
90C32
porousMultiphaseFoam v2107: an open-source tool for modeling saturated/unsaturated water flows and solute transfers at watershed scale. (English) Zbl 07699253
Distributed reconstruction of time-varying graph signals via a modified Newton’s method. (English) Zbl 1503.94014
Construction of empirical models via a stepwise fitting of a fractional Newtonian cooling law. (English) Zbl 07610624
Beyond the EM algorithm: constrained optimization methods for latent class model. (English) Zbl 07603812
MSC:
62-XX
Error bound conditions and convergence of optimization methods on smooth and proximally smooth manifolds. (English) Zbl 1490.90224
Operator means of lower triangular matrices. (English) Zbl 1486.22008
Reviewer: Minghua Lin (Xi’an)
A globally convergent interval Newton’s method for computing and bounding real roots of a function with one variable. (English) Zbl 1486.65048
MSC:
65H05
Newton-like methods and polynomiographic visualization of modified Thakur processes. (English) Zbl 07476604
An algorithm for solving a nonlinear boundary value problem with parameter for the Mathieu equation. (English) Zbl 1488.65183
A higher order finite element method with modified graded mesh for singularly perturbed two-parameter problems. (English) Zbl 1455.65121
Rounding error analysis of divided differences schemes: Newton’s divided differences; Neville’s algorithm; Richardson extrapolation; Romberg quadrature; etc. (English) Zbl 1462.65051
MSC:
65G50
A class of complex nonsymmetric algebraic Riccati equations associated with H-matrix. (English) Zbl 1431.65057
A numerical algorithm of solving a quasilinear boundary value problem with parameter for the Duffing equation. (English) Zbl 1488.65181
A Lyapunov-type approach to convergence of the Douglas-Rachford algorithm for a nonconvex setting. (English) Zbl 1417.90118
A least squares finite element method using Elsasser variables for magnetohydrodynamic equations. (English) Zbl 1448.76192
Proofs of some non-singular matrices in optimization theory and algorithm. (Chinese. English summary) Zbl 1463.65157
MSC:
65K10
Newton-Schulz method for solving nonlinear matrix equation \(X^p + A^\ast XA=Q\). (English) Zbl 1404.65044
MSC:
65H10
Connectivity of Julia sets of Newton maps: a unified approach. (English) Zbl 1405.30022
Reviewer: Mohammad Sajid (Buraidah)
Two-stage method of construction of regularizing algorithms for nonlinear ill-posed problems. (English. Russian original) Zbl 1432.65069
Proc. Steklov Inst. Math. 301, Suppl. 1, S173-S190 (2018); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 23, No. 1, 57-74 (2017).
MSC:
65J20
New method for determining search directions for interior-point algorithms in linear optimization. (English) Zbl 1421.90080
Newton’s method for minimizing a convex twice differentiable function on a preconvex set. (English. Russian original) Zbl 1397.90397
Comput. Math. Math. Phys. 58, No. 3, 322-327 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 3, 340-346 (2018).
Inverse, shifted inverse, and Rayleigh quotient iteration as Newton’s method. (English) Zbl 1382.65105
MSC:
65F15
Hybrid second-order iterative algorithm for orthogonal projection onto a parametric surface. (English) Zbl 1427.65028
MSC:
65D18
New uni-parametric family of multipoint methods with memory for systems of nonlinear equations. (English) Zbl 1384.65031
Reviewer: Nikolay Kyurkchiev (Plovdiv)
A new class of numerical continuation method for solving the nonlinear equations. (Chinese. English summary) Zbl 1413.65203
A polynomial time algorithm for computing extinction probabilities of multitype branching processes. (English) Zbl 1378.68074
Discrete Newton’s algorithm for parametric submodular function minimization. (English) Zbl 1418.90226
Eisenbrand, Friedrich (ed.) et al., Integer programming and combinatorial optimization. 19th international conference, IPCO 2017, Waterloo, ON, Canada, June 26–28, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10328, 212-227 (2017).
Newton’s method in practice: finding all roots of polynomials of degree one million efficiently. (English) Zbl 1375.65068
Numerical computations and computer assisted proofs of periodic orbits of the Kuramoto-Sivashinsky equation. (English) Zbl 1370.65047
On deflation and multiplicity structure. (English) Zbl 1387.13063
Reviewer: Amir Hashemi (Isfahan)
Newton’s algorithm for magnetohydrodynamic equations with the initial guess from Stokes-like problem. (English) Zbl 1457.76128
Revisiting the nested fixed-point algorithm in BLP random coefficients demand estimation. (English) Zbl 1396.91392
Gravitational search algorithm based solution for a class of ternary Diophantine equations. (English) Zbl 1401.11160
Regularization and asymptotic solutions of nonlinear singularly perturbed problem with diagonal degeneration of the kernel. (Russian. English summary) Zbl 1359.65304
An efficient numerical solution of fractional optimal control problems by using the Ritz method and Bernstein operational matrix. (English) Zbl 1359.65100
Reviewer: Hans Benker (Merseburg)
Convergence of the gradient projection method and Newton’s method as applied to optimization problems constrained by intersection of a spherical surface and a convex closed set. (English. Russian original) Zbl 1394.90557
Comput. Math. Math. Phys. 56, No. 10, 1716-1731 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 10, 1733-1749 (2016).
Numerical analysis interactive. Understanding the basics, exploring models and applying methods with taramath. (Numerik interaktiv. Grundlagen verstehen, Modelle erforschen und Verfahren anwenden mit taramath.) (German) Zbl 1358.65002
Heidelberg: Springer Spektrum (ISBN 978-3-662-52939-3/pbk; 978-3-662-52940-9/ebook). xiv, 252 p. (2016).
Reviewer: Michael Jung (Dresden)
Measures of the basins of attracting \(n\)-cycles for the relaxed Newton’s method. (English) Zbl 1353.65041
Amat, Sergio (ed.) et al., Advances in iterative methods for nonlinear equations. Cham: Springer (ISBN 978-3-319-39227-1/hbk; 978-3-319-39228-8/ebook). SEMA SIMAI Springer Series 10, 211-245 (2016).
Newton’s method for convex optimization. (English) Zbl 1354.65113
Amat, Sergio (ed.) et al., Advances in iterative methods for nonlinear equations. Cham: Springer (ISBN 978-3-319-39227-1/hbk; 978-3-319-39228-8/ebook). SEMA SIMAI Springer Series 10, 23-56 (2016).
Reviewer: Nada Djuranović-Miličić (Belgrade)
Double iterative algorithm for symmetric solution of matrix equation with high order inverse-power. (Chinese. English summary) Zbl 1363.65084
Numerical optimization with computational errors. (English) Zbl 1347.65112
Springer Optimization and Its Applications 108. Cham: Springer (ISBN 978-3-319-30920-0/hbk; 978-3-319-30921-7/ebook). ix, 304 p. (2016).
Reviewer: Hans Benker (Merseburg)
Fast computation of Gauss quadrature nodes and weights on the whole real line. (English) Zbl 1334.65067
A degree-increasing [\(N\) to \(N+1\)] homotopy for Chebyshev and Fourier spectral methods. (English) Zbl 1334.65122
Numerical solution to generalized Lyapunov/Stein and rational Riccati equations in stochastic control. (English) Zbl 1333.65064
Small-sample statistical condition estimation of large-scale generalized eigenvalue problems. (English) Zbl 1332.65061
Rank deficiencies and bifurcation into affine subspaces for separable parameterized equations. (English) Zbl 1327.65086
A generalized Newton method for absolute value equations associated with circular cones. (English) Zbl 1410.65124
MSC:
65F30
15A24
A numerical study on the robustness and efficiency of the PL homotopy algorithm for solving unconstrained optimization problems. (English) Zbl 1399.65122
Newton’s method for a nonlinear matrix equation. (English) Zbl 1374.65067
Reviewer: Angela Slavova (Sofia)
Double iterative algorithm for symmetric reflexive solution of matrix equation with fractional inverse power. (Chinese. English summary) Zbl 1349.65123
MSC:
65F10
New implementations of the 2-factor method. (English. Russian original) Zbl 1356.65136
Comput. Math. Math. Phys. 55, No. 6, 922-934 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 6, 933-946 (2015).
MSC:
65H10
Using the gravitational emulation local search algorithm to solve the multi-objective flexible dynamic job shop scheduling problem in small and medium enterprises. (English) Zbl 1318.90030
On the solvability condition and numerical algorithm for the parameterized generalized inverse eigenvalue problem. (English) Zbl 1317.65101
On the maximum penalized likelihood approach for proportional hazard models with right censored survival data. (English) Zbl 1506.62121
A meshless RBF method for computing a numerical solution of unsteady Burgers’-type equations. (English) Zbl 1369.65125
About detection substitutions in nonlinear algebraic equations with help of Tarjan’s algorithm. (English) Zbl 1325.65070
Senichenkov, Yuri B. (ed.) et al., Recent advances in mathematical methods in applied sciences. Proceedings of the 2014 international conference on mathematical models and methods in applied sciences (MMMAS ’14) and the 2014 international conference on economics and applied statistics (EAS ’14), Saint Petersburg, Russia, September 23–25, 2014. St. Petersburg: St. Petersburg State University (ISBN 978-1-61804-251-4/pbk). Mathematics and Computers in Science and Engineering Series 32, 146-150 (2014).
MSC:
65H10
The calculation of the distance to a nearby defective matrix. (English) Zbl 1340.65072
Reviewer: Rafikul Alam (Guwahati)
A double iterative algorithm for heterogeneous constrained solutions of a discrete time algebraic Riccati matrix equation. (Chinese. English summary) Zbl 1324.65071
High-order methods for computing distances to implicitly defined surfaces. (English) Zbl 1316.65030
MSC:
65D18
Navier-Stokes problem in velocity-pressure formulation: Newton linearization and convergence. (English) Zbl 1318.35068
Modified method of fundamental solutions for the Cauchy problem connected with the Laplace equation. (English) Zbl 1306.65259
The equations of elastostatics in a Riemannian manifold. (English) Zbl 1307.74019
Reviewer: Boris V. Loginov (Ul’yanovsk)
Solving transcendental equations. The Chebyshev polynomial proxy and other numerical rootfinders, perturbation series, and oracles. (English) Zbl 1311.65047
Other Titles in Applied Mathematics 139. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-351-8/pbk; 978-1-611973-52-5/ebook). xviii, 460 p. (2014).
Reviewer: José Manuel Gutiérrez Jimenez (Logrono)
Optimization algorithms on the Grassmann manifold with application to matrix eigenvalue problems. (English) Zbl 1306.65189
Reviewer: Michael Jung (Dresden)
On a posteriori approximation of the set of solutions to a system of quadratic equations using Newton’s method. (Russian, English) Zbl 1299.65100
Sib. Zh. Vychisl. Mat. 17, No. 1, 53-65 (2014); translation in Numer. Analysis Appl. 7, No. 1, 45-56 (2014).
MSC:
65H10
The power method for tensor eigenproblems and limiting directions of Newton iterates. (English) Zbl 1313.65078
A double iterative algorithm for symmetric solution of discrete time algebra Riccati matrix equation. (Chinese. English summary) Zbl 1313.65105
Structure-preserving doubling algorithms – rediscovery redevelopment and applications. (English) Zbl 1303.65027
Ji, Lizhen (ed.) et al., Open problems and surveys of contemporary mathematics. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-278-7/pbk). Surveys of Modern Mathematics 6, 133-193 (2013).
Reviewer: T. C. Mohan (Chennai)
Locating the eigenvalues of matrix polynomials. (English) Zbl 1291.15048
Reviewer: Tin Yau Tam (Auburn)
An implicit finite-difference solution to one-dimensional coupled Burgers’ equations. (English) Zbl 1362.65088
Wiener-Hopf and spectral factorization of real polynomials by Newton’s method. (English) Zbl 1281.65075
Theoretical and numerical study of iteratively truncated Newton’s algorithm. (English) Zbl 1279.65073
Beilina, Larisa (ed.), Applied inverse problems. Select contributions from the first annual workshop on inverse problems, Gothenburg, Sweden, June 2–3, 2011. New York, NY: Springer (ISBN 978-1-4614-7815-7/hbk; 978-1-4614-7816-4/ebook). Springer Proceedings in Mathematics & Statistics 48, 1-14 (2013).
A proximal point algorithm for log-determinant optimization with group Lasso regularization. (English) Zbl 1285.65037
Reviewer: Andrea Walther (Paderborn)
Isosingular sets and deflation. (English) Zbl 1276.65029
Reviewer: Alyson Reeves (Bowie)
A graduate introduction to numerical methods. From the viewpoint of backward error analysis. (English) Zbl 1295.65001
New York, NY: Springer (ISBN 978-1-4614-8452-3/hbk; 978-1-4614-8453-0/ebook). xxxix, 868 p. (2013).
Reviewer: Robert Plato (Siegen)
Fast and accurate computation of Gauss-Legendre and Gauss-Jacobi quadrature nodes and weights. (English) Zbl 1270.65017
Third-order modifications of Newton’s method based on Stolarsky and Gini means. (English) Zbl 1277.65034
Reviewer: Przemyslaw Stpiczynski (Lublin)
Quadratic vector equations. (English) Zbl 1268.15014
Reviewer: Mihail Voicu (Iaşi)
A root-finding algorithm for cubics. (English) Zbl 1262.65056
Reviewer: Hang Lau (Montréal)
Local convergence analysis of several inexact Newton-type algorithms for general nonlinear eigenvalue problems. (English) Zbl 1259.65077
MSC:
65H17
Newtonian nonlinear dynamics for complex linear and optimization problems. (English) Zbl 1264.65090
Nonlinear Systems and Complexity 4. New York, NY: Springer (ISBN 978-1-4614-5911-8/hbk; 978-1-4614-5912-5/ebook). xii, 138 p. (2013).
Reviewer: Werner H. Schmidt (Greifswald)
Optimization of the solution of the parameter-dependent Sylvester equation and applications. (English) Zbl 1253.65062
Numerical simulation of singularly perturbed non-linear elliptic boundary value problems using finite element method. (English) Zbl 1292.65127
Newton’s method for solving the inverse spectral problem. (Ukrainian, English) Zbl 1289.65090
Mat. Metody Fiz.-Mekh. Polya 55, No. 3, 27-34 (2012); translation in J. Math. Sci., New York 194, No. 2, 156-165 (2013).
Reviewer: V. V. Vlasov (Moskva)
MSC:
65F18
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