Výsledky vyhledávání - Numerical computation of solutions to systems of equations

A parameter uniform numerical method for 2D singularly perturbed elliptic differential-difference equations

Autoři: null Garima Komal Bansal Kapil K. Sharma

Zdroj: Journal of Applied Mathematics and Computing. 70:6347-6372

Témata: Finite difference methods for boundary value problems involving PDEs, Error bounds for boundary value problems involving PDEs, space shift, differential-difference equation, Numerical computation of solutions to systems of equations, singularly perturbed problem, convection-diffusion problem, Stability and convergence of numerical methods for boundary value problems involving PDEs, 2D elliptic equation, non standard finite difference method

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8036706
https://doi.org/10.1007/s12190-024-02203-3

Estimating Gaussian Mixtures Using Sparse Polynomial Moment Systems: Estimating Gaussian mixtures using sparse polynomial moment systems

Autoři: Lindberg, Julia Améndola, Carlos Rodriguez, Jose Israel

Zdroj: SIAM Journal on Mathematics of Data Science. 7:224-252

Témata: FOS: Computer and information sciences, method of moments, Classification and discrimination, cluster analysis (statistical aspects), Numerical computation of solutions to systems of equations, Point estimation, parameter recovery, sparse polynomial systems, Mathematics - Statistics Theory, 0102 computer and information sciences, Statistics Theory (math.ST), 01 natural sciences, Algebraic statistics, Methodology (stat.ME), Mathematics - Algebraic Geometry, Numerical algebraic geometry, FOS: Mathematics, Gaussian mixture models, 0101 mathematics, Algebraic Geometry (math.AG), 62R01, 65H14, 65H10, 62H30, 62F10, Statistics - Methodology

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2106.15675

THE EFFECTIVE AND MODIFIED JACOBI GRADIENT BASED ITERATIVE ALGORITHMS FOR THE DISCRETE-TIME PERIODIC SYLVESTER MATRIX EQUATIONS: The effective and modified Jacobi gradient based iterative algorithms for the discrete-time periodic Sylvester matrix equations

Autoři: Wu, Xiaowen Huang, Zhengge

Zdroj: Journal of Applied Analysis & Computation. 15:2044-2088

Témata: Iterative numerical methods for linear systems, convergence properties, MJGI algorithm, Numerical computation of solutions to systems of equations, DTPS matrix equations, GDTPS matrix equations, EJGI algorithm

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8010857
https://doi.org/10.11948/20240393

A new two-parameter iteration method for solving absolute value equations

Autoři: Xiao-Yong Xiao Miao Zhang

Zdroj: Japan Journal of Industrial and Applied Mathematics. 42:631-652

Témata: Iterative numerical methods for linear systems, Numerical optimization and variational techniques, Numerical computation of solutions to systems of equations, iteration method, absolute value equations, linear complementarity problem, convergence analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8037186
https://doi.org/10.1007/s13160-024-00687-x

On pseudoinverse-free block maximum residual nonlinear Kaczmarz method for solving large-scale nonlinear system of equations

Autoři: Zhang, Jianhua Wang, Yuqing Zhao, Jing

Zdroj: Japan Journal of Industrial and Applied Mathematics. 41:637-657

Témata: Convex programming, Numerical mathematical programming methods, block nonlinear Kaczmarz method, pseudoinverse-free, Numerical computation of solutions to systems of equations, nonlinear system of equations, star-convexity, \(\mu\)-strongly quasi-convexity

Popis souboru: application/xml

A new adaptive Levenberg–Marquardt parameter with a nonmonotone and trust region strategies for the system of nonlinear equations: A new adaptive Levenberg-Marquardt parameter with a nonmonotone and trust region strategies for the system of nonlinear equations

Autoři: Zahra Rezaeiparsa Ali Ashrafi

Zdroj: Mathematical Sciences. 18:479-491

Témata: Levenberg-Marquardt method, Nonlinear programming, nonmonotone technique, Numerical computation of solutions to systems of equations, cubic convergence, trust region method, nonlinear system

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7915224
https://doi.org/10.1007/s40096-023-00515-2

A diagonal quasi-Newton method based on automatic differentiation for nonlinear equations

Autoři: Huiping Cao Wugang Li

Zdroj: Calcolo. 62

Témata: Numerical mathematical programming methods, Numerical computation of solutions to systems of equations, nonlinear equations, local convergence, diagonal quasi-Newton method, Methods of quasi-Newton type, automatic differentiation, weak direct tangent condition

Popis souboru: application/xml

A block coordinate descent linear least squares solver by quantile statistics

Autoři: Zhang, Ke Deng, Jin-Yu Jiang, Xiang-Long

Zdroj: Japan Journal of Industrial and Applied Mathematics. 42:787-811

Témata: Iterative numerical methods for linear systems, quantile, Numerical solutions to overdetermined systems, pseudoinverses, Numerical computation of solutions to systems of equations, least squares problem, randomized coordinate descent, Kaczmarz algorithm

Popis souboru: application/xml

Numerical calculation and characteristics of quasi-periodic breathers to the Kadomtsev–Petviashvili-based system: Numerical calculation and characteristics of quasi-periodic breathers to the Kadomtsev-Petviashvili-based system

Autoři: Zhonglong Zhao Yu Wang Pengcheng Xin

Zdroj: Physica D: Nonlinear Phenomena. 472:134497

Témata: Numerical optimization and variational techniques, Gauss-Newton method, KdV equations (Korteweg-de Vries equations), Soliton solutions, Asymptotic behavior of solutions to PDEs, asymptotic properties, Numerical computation of solutions to systems of equations, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Theta functions and curves, Schottky problem, quasi-periodic breathers, Riemann-theta function

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8013485
https://doi.org/10.1016/j.physd.2024.134497

New third-order convex splitting methods and analysis for the phase field crystal equation

Autoři: Ye, Zhijian Zheng, Zhoushun Li, Zhilin

Zdroj: Numerical Algorithms. 98:47-84

Témata: Iterative numerical methods for linear systems, third-order backward difference formula, energy stability, Liquid crystals, Numerical computation of solutions to systems of equations, phase field crystal equation, PDEs in connection with fluid mechanics, convex splitting method, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Statistical mechanics of superfluids, Preconditioners for iterative methods, Spectral, collocation and related methods for boundary value problems involving PDEs, unique solvability, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Popis souboru: application/xml

VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics: VEM-Nitsche fully discrete polytopal scheme for frictionless contact-mechanics

Autoři: Laaziri, Mohamed Masson, Roland

Zdroj: SIAM Journal on Numerical Analysis. 63:81-102

Témata: Nitsche's method, Error bounds for boundary value problems involving PDEs, Finite element methods applied to problems in solid mechanics, Flows in porous media, filtration, seepage, Numerical computation of solutions to systems of equations, poromechanics, fracture networks, fully discrete approach, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Contact in solid mechanics, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), virtual element method, Classical linear elasticity, error estimates, Soil and rock mechanics, contact-mechanics, polytopal method, PDEs in connection with mechanics of deformable solids

Popis souboru: application/xml

An inexact fixed point iteration method for solving absolute value equation

Autoři: Lv, Xin-Mei Miao, Shu-Xin

Zdroj: Japan Journal of Industrial and Applied Mathematics. 41:1137-1148

Témata: Iterative numerical methods for linear systems, fixed point iteration, convergence, absolute value equation, Numerical computation of solutions to systems of equations, matrix-splitting, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7843813
https://doi.org/10.1007/s13160-023-00641-3

Conformable vector Traub’s method for solving nonlinear systems: Conformable vector Traub's method for solving nonlinear systems

Autoři: Wang, Xiaofeng Xu, Jiayi

Zdroj: Numerical Algorithms. 97:1563-1582

Témata: conformable Traub's method, Fractional derivatives and integrals, Numerical computation of solutions to systems of equations, Jacobian matrix, nonlinear systems, stability, conformable Newton's method

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7958572
https://doi.org/10.1007/s11075-024-01762-7

Two classes of spectral three-term derivative-free method for solving nonlinear equations with application

Autoři: Abdulkarim Hassan Ibrahim Mohammed Alshahrani Suliman Al-Homidan

Zdroj: Numerical Algorithms. 96:1625-1645

Témata: large-scale systems, Numerical mathematical programming methods, iterative method, Nonlinear programming, projection method, Numerical computation of solutions to systems of equations, Methods of reduced gradient type, nonlinear equations, derivative-free method

Popis souboru: application/xml

A Symbolic-Numerical Method for Finding a Real Solution of an Arbitrary System of Nonlinear Algebraic Equations: A symbolic-numerical method for finding a real solution of an arbitrary system of nonlinear algebraic equations

Autoři: Quoc-Nam Tran

Zdroj: Journal of Symbolic Computation. 26:739-760

Témata: numerical examples, Gauss-Newton method, convergence, Algebra and Number Theory, overdetermined system, Numerical computation of solutions to systems of equations, 0211 other engineering and technologies, 02 engineering and technology, symbolic-numerical methods, Symbolic computation and algebraic computation, reduction algorithm, 01 natural sciences, Real polynomials: location of zeros, Computational Mathematics, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), underdetermined system, Computational aspects of field theory and polynomials, system of nonlinear algebraic equations, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1268451
https://doi.org/10.1006/jsco.1998.0237
https://dblp.uni-trier.de/db/journals/jsc/jsc26.html#Tran98
https://core.ac.uk/display/82224121
https://www.sciencedirect.com/science/article/pii/S0747717198902371
https://www.sciencedirect.com/science/article/abs/pii/S0747717198902371

A class of relaxed-inertial derivative-free projection method beyond monotonicity with application

Autoři: Abdulkarim Hassan Ibrahim Mohammed Alshahrani Suliman Al-Homidan

Zdroj: Arabian Journal of Mathematics. 14:53-84

Témata: Numerical computation of solutions to systems of equations

Popis souboru: application/xml

Numerical solutions for systems of 'qualitative' nonlinear algebraic equations by fuzzy logic: Numerical solutions for systems of qualitative' nonlinear algebraic equations by fuzzy logic

Autoři: Emmanuel G. Collins Majura F. Selekwa

Zdroj: Fuzzy Sets and Systems. 150:599-609

Témata: Design, Newton's method, Numerical computation of solutions to systems of equations, underdetermined system, consistent system, 0202 electrical engineering, electronic engineering, information engineering, Fuzzy and other nonstochastic uncertainty mathematical programming, 02 engineering and technology, comparison of methods, Analysis, Fuzzy mathematical programming, system of algebraic equations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2153565
https://doi.org/10.1016/j.fss.2004.06.008
https://dblp.uni-trier.de/db/journals/fss/fss150.html#SelekwaC05
http://www.sciencedirect.com/science/article/pii/S0165011404002611
https://www.sciencedirect.com/science/article/pii/S0165011404002611
https://doi.org/10.1016/j.fss.2004.06.008

Construction of iteration functions for the simultaneous computation of the solutions of equations and algebraic systems

Autoři: Anne-Mercedes Bellido

Zdroj: Numerical Algorithms. 6:317-351

Témata: Newton-like iteration methods, numerical examples, systems of algebraic equations, Numerical computation of solutions to systems of equations, Computational aspects of field theory and polynomials, Numerical computation of solutions to single equations, local quadratic convergence, 0101 mathematics, Durand-Kerner method, 01 natural sciences, Real polynomials: location of zeros, performance

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/553668
https://doi.org/10.1007/bf02142677
https://dblp.uni-trier.de/db/journals/na/na6.html#Bellido94
https://link.springer.com/article/10.1007/BF02142677
https://ui.adsabs.harvard.edu/abs/1994NuAlg...6..317B/abstract
https://link.springer.com/content/pdf/10.1007/BF02142677.pdf

An Optimized Iterative Method for Numerical Solution of Large Systems of Equations Based on the Extremal Property of Zeroes of Chebyshev Polynomials: An optimized iterative method for numerical solution of large systems of equations based on the extremal property of zeroes of Chebyshev polynomials

Autoři: V. A. Zheligovsky O. M. Podvigina

Zdroj: Journal of Scientific Computing. 12:433-464

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, maximal eigenvalue, eigenvector, convergence, Newton's method, iterative method, Numerical computation of solutions to systems of equations, large systems, Chebyshev polynomials, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1217802
https://doi.org/10.1023/a:1025681013942
https://dl.acm.org/doi/10.1023/A%3A1025681013942
https://link.springer.com/article/10.1023/A%3A1025681013942

On the Bound of the Solution Set for the Vertical Tensor Complementarity Problem: On the bound of the solution set for the vertical tensor complementarity problem

Autoři: Wang, Hai-Ying Fu, Zu-Feng Wu, Shi-Liang

Zdroj: Journal of Optimization Theory and Applications. 204

Témata: \(VP\)-tensor set, bound of the solution set, Nonlinear programming, Numerical computation of solutions to systems of equations, \(VR_0\)-tensor set, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), vertical tensor complementarity problem

Popis souboru: application/xml