Results 31 to 40 of about 147,801 (260)
Fast Converging Implementation of a Region-Based Active Contour Model
Journal of Algorithms & Computational Technology, 2015 PDE-based image segmentation based on the active contour model attracts many researchers due to its high precision of edge detection and the continuity of boundaries.
Haiping Xu, Hanxiang Zheng, Meiqing Wang
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Optimal Conditioning of Quasi-Newton Methods [PDF]
Mathematics of Computation, 1970 Quasi-Newton methods accelerate gradient methods for minimizing a function by approximating the inverse Hessian matrix of the function. Several papers in recent literature have dealt with the generation of classes of approximating matrices as a function of a scalar parameter.
Shanno, D. F., Kettler, P. C.
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Matrix Transformations and Quasi-Newton Methods [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 We first recall some properties of infinite tridiagonal matrices considered as matrix transformations in sequence spaces of the formssξ,sξ∘,sξ(c), orlp(ξ). Then, we give some results on the finite section method for approximating a solution of an infinite linear system.
Boubakeur Benahmed +2 more
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A non-Secant quasi-Newton Method for Unconstrained Nonlinear Optimization
Cogent Engineering, 2022 The Secant equation has long been the foundation of quasi-Newton methods, as updated Hessian approximations satisfy the equation with each iteration. Several publications have lately focused on modified versions of the Secant relation, with promising ...
Issam A.R. Moghrabi
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On exact linesearch quasi-Newton methods for minimizing a quadratic function
, 2017 This paper concerns exact linesearch quasi-Newton methods for minimizing a quadratic function whose Hessian is positive definite. We show that by interpreting the method of conjugate gradients as a particular exact linesearch quasi-Newton method ...
Forsgren, Anders, Odland, Tove
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Scaled memoryless symmetric rank one method for large-scale optimization. [PDF]
, 2011 This paper concerns the memoryless quasi-Newton method, that is precisely the quasi-Newton method for which the approximation to the inverse of Hessian, at each step, is updated from the identity matrix. Hence its search direction can be computed without
Abu Hassan, Malik, Leong, Wah June
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Quasi-Newton Methods, Motivation and Theory [PDF]
SIAM Review, 1977 This paper is an attempt to motivate and justify quasi-Newton methods as useful modifications of Newton's method for general and gradient nonlinear systems of equations. References are given to ample numerical justification; here we give an overview of many of the important theoretical results and each is accompanied by sufficient discussion to make ...
Dennis, J. E. jun., More, Jorge J.
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Unified formulation of a family of iterative solvers for power systems analysis [PDF]
, 2016 This paper illustrates the construction of a new class of iterative solvers for power flow calculations based on the method of Alternating Search Directions.
Borzacchiello, Domenico +4 more
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A robust quasi-newton adaptive filtering algorithm for impulse noise suppression [PDF]
, 2001 This paper studies the problem of robust adaptive filtering in impulse noise environment using the Quasi-Newton (QN) adaptive filtering algorithm. An M-estimate based cost function is minimized instead of the commonly used mean square error (MSE) to ...
Chan, SC, Zou, Y
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ROBUST QUASI-NEWTON EQUATIONS IN QUASI-NEWTON METHOD FOR SOLVING UNCONSTRAINED OPTIMIZATION PROBLEMS
BarekengQuasi-Newton methods are among the most widely used and effective general-purpose algorithms for unconstrained optimization. These methods traditionally rely on the quasi-Newton equation, which serves as the foundation for updating approximations of the
Basim A. Hassan, Manal I. Mohammed
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