Keywords: 65G99; 65J15; 49M15; Nonlinear equations; Simple roots; Computational order of convergence; Steffensen's type method;
مقالات ISI (ترجمه نشده)
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Keywords: 49K10; 49M05; 49M15; Trust region; Surrogate models; Numerical optimization;
Keywords: 74R10; 74F10; 65M60; 49M15; 35Q74; Phase-field fracture propagation; Modified Newton's method; Jacobian modification; Line-search; Inexact augmented Lagrangian; Benchmark tests;
Keywords: Unilateral constraint; Hertzian contact; Hyperelasticity; Projection iterative method; Primal dual active set; Augmented Lagrangian74M15; 74G15; 74B05; 74B20; 74S30; 49M15; 90C53; 90C25; 65K15
Keywords: 49M15; 49M29; 74C05; 74S05Elasto-plastic contact; Variational inequality of the 2nd kind; Fenchel duality; Moreau–Yosida/Tikhonov regularization; Path-following; Semismooth Newton
Keywords: 65D10; 65D99; 65G99; 47H17; 49M15; Banach space; Multi-point; Multi-parametric method; Chebyshev-Halley methods; Local convergence; Radius of convergence;
Keywords: Damped Newton method; Banach space; Local/semi-local convergence65H10; 65G99; 49M15
Keywords: 65N30; 65M60; 49M15; 35Q74Finite elements; Error estimation; Adjoint; Dual weighted residuals; Adaptivity
Numerical modeling and investigations of 3D devices with ferroelectric layer fully embedded in a paraelectric environment
Keywords: 82D45; 82D80; 35Q56; 47H10; 65N30; 49M15; Electroactive media; Ferroelectricity; Ginzburg-Landau systems; Finite elements; Inexact Newton methods; Numerical simulations;
On the first degree Fejér–Riesz factorization and its applications to X + A⁎X−1A = Q
Keywords: 39B42; 15A23; 15A24; 47J25; 49M15; 65J15Fejér–Riesz factorization; Nonlinear matrix equation; Alternating projection method; Coordinate-free Newton method
Simplified existence and uniqueness conditions for the zeros and the concavity of the F and G functions of improved Gauss orbit determination from two position vectors
Keywords: Classical two-body problem; Gauss orbit determination; Newton-Raphson iteration; Functions of a real variable; Polynomials; Roots of polynomials; 37N05; 41A25; 49M15; 64H05; 74E30;
Correcting peak deformation in Rosetta's ROSINA/DFMS mass spectrometer
Keywords: 82.80.Ms; 95.55.Pe; 95.55.Ym; 95.75.Pq; 49M15; 90C53; 90C90; 65K10; Mass spectrometry; Planetary instrumentation; Data analysis; Comet atmosphere; Rosetta;
On the convergence of efficient King-Werner-type methods of order 1+2
Keywords: 65G99; 65H10; 65J15; 47H17; 49M15; King's method; Werner's method; Banach space; Local-semilocal convergence analysis; Fréchet-derivative; Efficiency index;
Expanding the applicability of the Secant method under weaker conditions
Keywords: Secant method; Banach space; Majorizing sequence; Divided difference; Local convergence; Semilocal convergence; 65H10; 65G99; 65B05; 65N30; 47H17; 49M15;
Superconvergence of fully discrete rectangular mixed finite element methods of parabolic control problems
Keywords: 49N10; 49M15; 65M25; 65M60Parabolic equations; Optimal control problems; Superconvergence; Fully discrete mixed finite element methods; Postprocessing
Weak convergence conditions for the Newton’s method in Banach space using general majorizing sequences
Keywords: Newton’s method; Banach space; Semilocal convergence; Recurrent functions; Majorizing sequence65K10; 65G99; 49M15
On the alternating direction method of multipliers for nonnegative inverse eigenvalue problems with partial eigendata
Keywords: 49J52; 49M15; 65F18; 90C33Nonnegative matrix; Inverse problem; Alternating direction method of multipliers; Variational inequality
Improved local convergence of Newton’s method under weak majorant condition
Keywords: 65G99; 65K10; 47H17; 49M15; 90C30Newton’s method; Banach space; Majorant condition; Local convergence; Radius of convergence
A Schwarz domain decomposition method with gradient projection for optimal control governed by elliptic partial differential equations
Keywords: 49M15; 49M25; 65N30; 65N55Distributed optimal control; Elliptic partial differential equation; Domain decomposition; Schwarz alternating method; Gradient projection algorithm; Geometric convergence rate
A Newton-like method for nonsmooth variational inequalities
Keywords: 65K10; 65G99; 65H10; 65B05; 47H04; 49M15; 47H17; 14P15Variational inequalities; Aubin-like property; Linear convergence; Slant differentiability; Newton-like method; Set-valued map
A semismooth Newton method for topology optimization
Keywords: 49K20; 49M05; 49M15; 49Q10; 49Q12; Topology optimization; Semismooth Newton method; Topological sensitivity; Topological derivative;
On a class of Newton-like methods for solving nonlinear equations
Keywords: 65K10; 65G99; 65J99; 49M15; 49J53; 47J20; 47H04Newton-like methods; Banach space; Fréchet-derivative; Divided difference; Convergence domain; Newton’s method; Secant method; Nonlinear integral equation of the Chandrasekhar type
A frictionless viscoelastodynamic contact problem with energy consistent properties: Numerical analysis and computational aspects
Keywords: 74M15; 74M20; 74D05; 74H15; 74S05; 49M15; 90C53Dynamic contact; Viscoelasticity; Unilateral contact; Error estimates; Energy-conserving scheme; Numerical simulations
Formulation and analysis of two energy-consistent methods for nonlinear elastodynamic frictional contact problems
Keywords: 74M15; 74M20; 74M10; 74B20; 74H15; 74S30; 49M15; 90C53Contact and friction; Nonlinear elastodynamics; Time integration schemes; Energy-conserving algorithms
A new large-update interior point algorithm for P*(κ)P*(κ) linear complementarity problems
Keywords: 49M15; 65K05; 90C33Large-update interior point method; Kernel function; Complexity; Polynomial algorithm; Linear complementarity problem
On general convergence in extracting radicals via a fundamental family of iteration functions
Keywords: 65D05; 65H05; 65P20; 65S05; 65Y20; 49M15; 40A05; 37F10; 12Y05Root-finding; Newton's method; Iteration functions; Discrete dynamical systems; General convergence
Path-following and augmented Lagrangian methods for contact problems in linear elasticity
Keywords: 49M15; 74M15; 49M37; 65K05Contact problems; Path-following; Semismooth Newton methods; Active sets; Augmented Lagrangians; Primal–dual methods
Concerning the “terra incognita” between convergence regions of two Newton methods
Keywords: 65B05; 65G99; 65J15; 47H17; 49M15; Newton's method; Modified Newton's method; Banach space; Hölder/Lipschitz continuity; Fréchet-derivative; Majorizing principle; Convergence region/radius;