A block coordinate descent linear least squares solver by quantile statistics

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

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

Subject Terms: 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

File Description: application/xml

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

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

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

Subject Terms: 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

File Description: application/xml

Access URL: http://arxiv.org/abs/2106.15675

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

Authors: Abdulkarim Hassan Ibrahim, Mohammed Alshahrani, Suliman Al-Homidan

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

Subject Terms: Numerical computation of solutions to systems of equations

File Description: application/xml

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

Authors: Xiao-Yong Xiao, Miao Zhang

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

Subject Terms: 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

File Description: application/xml

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

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

Authors: Laaziri, Mohamed, Masson, Roland

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

Subject Terms: 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

File Description: application/xml

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

Authors: Wu, Xiaowen, Huang, Zhengge

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

Subject Terms: 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

File Description: application/xml

Access URL: https://zbmath.org/8010857
https://doi.org/10.11948/20240393

A Modulus-Based Formulation for the Vertical Tensor Complementarity Problem: A modulus-based formulation for the vertical tensor complementarity problem

Authors: Zhao, Xue-Fan, Wu, Shi-Liang, Li, Cui-Xia

Source: Journal of Optimization Theory and Applications. 203:2759-2783

Subject Terms: modulus-based formulation, Nonlinear programming, Numerical computation of solutions to systems of equations, power Lipschitz tensor, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), vertical tensor complementarity problem

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An adaptive hybridizable discontinuous Galerkin method for Darcy–Forchheimer flow in fractured porous media: An adaptive hybridizable discontinuous Galerkin method for Darcy-Forchheimer flow in fractured porous media

Authors: Haitao Leng, Huangxin Chen

Source: Mathematical Models and Methods in Applied Sciences. 34:2497-2536

Subject Terms: a posteriori error estimates, discrete fracture model, Error bounds for boundary value problems involving PDEs, Numerical computation of solutions to systems of equations, Darcy-Forchheimer flow, Stability and convergence of numerical methods for boundary value problems involving PDEs, HDG methods, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, fractured porous media, existence and uniqueness

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

Authors: null Garima, Komal Bansal, Kapil K. Sharma

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

Subject Terms: 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

File Description: application/xml

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

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

Authors: Huiping Cao, Wugang Li

Source: Calcolo. 62

Subject Terms: 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

File Description: application/xml

Solving nonlinear vectorial problems with a stable class of Jacobian-free iterative processes

Authors: Alicia Cordero, Cristina Jordán, Esther Sanabria-Codesal, Juan R. Torregrosa

Contributors: Departamento de Matemática Aplicada, Escuela Técnica Superior de Ingeniería Informática, Escuela Técnica Superior de Ingeniería Aeroespacial y Diseño Industrial, Escuela Técnica Superior de Ingeniería de Telecomunicación, Instituto Universitario de Matemática Multidisciplinar, European Commission, European Regional Development Fund, Universitat Politècnica de València, Repositorio Institucional de la Universitat Politècnica de València Riunet

Source: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Universitat Politècnica de València (UPV)

Subject Terms: convergence, Iterative methods, Numerical computation of solutions to systems of equations, Nonlinear systems, iterative methods, nonlinear systems, stability, 0101 mathematics, Convergence, Stability, 01 natural sciences

File Description: application/pdf; application/xml

Access URL: https://riunet.upv.es/handle/10251/220211

A Hybrid Collocation Method for Long‐Time Simulation of Heat Conduction in Anisotropic Functionally Graded Materials: A hybrid collocation method for long-time simulation of heat conduction in anisotropic functionally graded materials

Authors: Lin Qiu, Fajie Wang, Wenzhen Qu, Ji Lin, Yan Gu, Qing‐Hua Qin

Source: International Journal for Numerical Methods in Engineering. 126

Subject Terms: Iterative numerical methods for linear systems, anisotropic heat conduction, Numerical radial basis function approximation, Numerical computation of solutions to systems of equations, Diffusive and convective heat and mass transfer, heat flow, radial basis function collocation method, Finite difference methods applied to problems in solid mechanics, Computational methods for sparse matrices, Thermal effects in solid mechanics, Krylov deferred correction technique, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for boundary value problems involving PDEs, long-time simulation, PDEs in connection with mechanics of deformable solids, functionally graded materials, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

File Description: application/xml

Access URL: https://zbmath.org/7991422
https://doi.org/10.1002/nme.70002

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

Authors: Ye, Zhijian, Zheng, Zhoushun, Li, Zhilin

Source: Numerical Algorithms. 98:47-84

Subject Terms: 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

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

Authors: Wang, Xiaofeng, Xu, Jiayi

Source: Numerical Algorithms. 97:1563-1582

Subject Terms: 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

File Description: application/xml

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

An inexact fixed point iteration method for solving absolute value equation

Authors: Lv, Xin-Mei, Miao, Shu-Xin

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

Subject Terms: 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)

File Description: application/xml

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

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

Authors: Abdulkarim Hassan Ibrahim, Mohammed Alshahrani, Suliman Al-Homidan

Source: Numerical Algorithms. 96:1625-1645

Subject Terms: 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

File Description: application/xml

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

Authors: Zhang, Jianhua, Wang, Yuqing, Zhao, Jing

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

Subject Terms: 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

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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

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

Source: Journal of Optimization Theory and Applications. 204

Subject Terms: \(VP\)-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

File Description: application/xml

Computing Optimal Partition Problems via Lagrange Multiplier approach: Computing optimal partition problems via Lagrange multiplier approach

Authors: Cheng, Qing, Guo, Jing, Wang, Dong

Source: Journal of Scientific Computing. 102

Subject Terms: Numerical optimization and variational techniques, Eulerian and Hamiltonian graphs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Numerical computation of solutions to systems of equations, Positive solutions to PDEs, PDE constrained optimization (numerical aspects), Lagrange multiplier approach, optimal partition problem, Integro-partial differential equations, gradient flow, Optimization of shapes other than minimal surfaces, Optimization and Control (math.OC), Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs, Mathematics - Optimization and Control

File Description: application/xml

Access URL: http://arxiv.org/abs/2408.15534
https://zbmath.org/7960911
https://doi.org/10.1007/s10915-024-02726-8

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

Authors: Zahra Rezaeiparsa, Ali Ashrafi

Source: Mathematical Sciences. 18:479-491

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

File Description: application/xml

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