Results 121 to 130 of about 13,500,255 (277)

A Survey of Multi-step Quasi-Newton Methods

, 1999
Quasi-Newton methods have been utilized as a standard technique for solving nonlinear optimization problems and nonlinear systems of equations for over thirty years.
J. A. Ford
core  

Fast Injective Mesh Parameterization via Beltrami Coefficient Prolongation

Computer Graphics Forum, EarlyView.
Abstract We present a highly efficient and robust method for free boundary injective parameterization of disk‐like triangle meshes with low isometric distortion. Harmonic function–based approaches, grounded in a strong mathematical framework, are widely employed.
G. Fargion, O. Weber
wiley   +1 more source

Convergence and Stability Improvement of Quasi-Newton Methods by Full-Rank Update of the Jacobian Approximates

AppliedMath
A system of simultaneous multi-variable nonlinear equations can be solved by Newton’s method with local q-quadratic convergence if the Jacobian is analytically available.
Peter Berzi
doaj   +1 more source

Mesh Processing Non‐Meshes via Neural Displacement Fields

Computer Graphics Forum, EarlyView.
Abstract Mesh processing pipelines are mature, but adapting them to newer non‐mesh surface representations—which enable fast rendering with compact file size—requires costly meshing or transmitting bulky meshes, negating their core benefits for streaming applications.
Yuta Noma, Zhecheng Wang, Chenxi Liu, Karan Singh, Alec Jacobson   +4 more
wiley   +1 more source

The Computation of Quasiterminator Orbits in Asteroid Exploration Based on the Quasi-Newton Method

International Journal of Aerospace Engineering
This paper investigates the computational methods of global mapping quasiterminator orbits in asteroid exploration missions. Quasiterminator orbits can serve as a unified term for terminator orbits and their related trajectories, encompassing certain ...
Qian Wang, Yuzhi Wang, Zihao Yao, Shunli Li   +3 more
doaj   +1 more source

Quasi-Newton Methods for Nonlinear Least Squares Focusing on Curvatures

, 2007
. Most existing quasi-Newton methods for nonlinear least squares problems incorporate both linear and nonlinear information in the secant update. These methods exhibit good theoretical properties, but are not especially accurate in practice.
Jerry Eriksson
core  

Progressively Projected Newton's Method

Computer Graphics Forum, EarlyView.
Abstract Newton's Method is widely used to find the solution of complex non‐linear simulation problems. To guarantee a descent direction, it is common practice to clamp the negative eigenvalues of each element Hessian prior to assembly—a strategy known as Projected Newton (PN)—but this perturbation often hinders convergence.
J. A. Fernández‐Fernández, F. Löschner, J. Bender   +2 more
wiley   +1 more source

Modified Quasi-Newton Methods For Large-Scale Unconstrained Optimization [PDF]

, 2003
The focus of this thesis is on finding the unconstrained minimizer of a function, when the dimension n is large. Specifically, we will focus on the wellknown class of optimization methods called the quasi-Newton methods.
Leong, Wah June
core   +1 more source

Combined Quasi-Newton Methods with Two-Dimensional Search for Degenerate Unconstrained Optimization in Machine Learning

Journal of Optimization, Differential Equations and Their Applications
This paper presents a two-dimensional search algorithm for quasi-Newton methods applied to ill-conditioned and degenerate unconstrained optimization problems. At each iteration, the space is decomposed into an orthogonal sum of two subspaces based on the
Viktor M. Zadachyn
doaj   +1 more source

Self-Scaling Parallel Quasi-Newton Methods

, 1998
In this paper, a new class of self-scaling quasi-Newton#SSQN# updates for solving unconstrained nonlinear optimization problems#UNOPs# is proposed.
Paul Kang-Hoh Phua, Weiguo Fan, Yuelin Zeng   +2 more
core