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IEEE Transactions on Signal Processing, ISSN 1053-587X, 06/2019, Volume 67, Issue 11, pp. 2868 - 2883
This paper introduces the stochastic Fejér-monotone hybrid steepest descent method (S-FM-HSDM) to solve affinely constrained and composite convex minimization... 
Signal processing algorithms | composite | convex | RLS | Stochastic approximation | Convex functions | Hilbert space | Indexes | Task analysis | Optimization | Convergence | online learning | ALGORITHM | ENGINEERING, ELECTRICAL & ELECTRONIC | Sequences | Distance learning | Steepest descent method | Optimization techniques | Random variables | Descent
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2016, Volume 48, Issue 3, pp. 2076 - 2118
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 01/2019, Volume 60, Issue 1, p. 11504
We formulate a 3 × 3 Riemann–Hilbert problem to solve the Cauchy problem for the Sasa–Satsuma equation on the line, which allows us to give a representation... 
SOLITON-SOLUTIONS | NLS EQUATION | SCHRODINGER-EQUATION | RIEMANN-HILBERT PROBLEMS | OPTICAL SOLITONS | HIROTA EQUATION | PHYSICS, MATHEMATICAL | Asymptotic properties | Steepest descent method | Cauchy problem
Journal Article
Mathematical Programming, ISSN 0025-5610, 10/2012, Volume 135, Issue 1-2, pp. 413 - 436
The possibilities inherent in steepest descent methods have been considerably amplified by the introduction of the Barzilai-Borwein choice of step-size, and... 
Mathematics Subject Classification : 90C06 | 90C26 | 65K05 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | QUASI-NEWTON MATRICES | BARZILAI | Availability | Conjugate gradient method | Mathematical analysis | Steepest descent method | Minimization | Vectors (mathematics) | Optimization | Stands
Journal Article
IMA Journal of Numerical Analysis, ISSN 0272-4979, 10/2013, Volume 33, Issue 4, pp. 1416 - 1435
In recent years, it has become increasingly clear that the critical issue in gradient methods is the choice of the step length, whereas using gradient as the... 
quadratic optimization | Hessian spectral properties | steepest descent methods | MATHEMATICS, APPLIED | BARZILAI | STEPSIZE | BEHAVIOR | GRADIENT-METHOD | ALGORITHMS | Algorithms
Journal Article
Journal of Applied Physics, ISSN 0021-8979, 05/2014, Volume 115, Issue 17, p. 17
We present a steepest descent energy minimization scheme for micromagnetics. The method searches on a curve that lies on the sphere which keeps the magnitude... 
PHYSICS, APPLIED | GRADIENT METHODS | Landau theory | Usage | Research | Magnetization | Hysteresis | Central processing units--CPUs | Microprocessors | Hysteresis loops | Energy conservation | Steepest descent method | Optimization | Physics - Computational Physics
Journal Article
physica status solidi (b), ISSN 0370-1972, 11/2018, Volume 255, Issue 11, p. n/a
Atomic resolution holography techniques, including X‐ray fluorescence holography, photoelectron holography, and neutron holography, provide new knowledge about... 
atomic structure | dopants | atomic resolution holography | photoelectron holography | X‐ray fluorescence holography | neutron holography | X-ray fluorescence holography | Methods | Algorithms
Journal Article
2011, Encyclopedia of Mathematics and Its Applications, ISBN 1107002583, Volume 141, viii, 243
"The author describes the recently developed theory of Hadamard expansions applied to the high-precision (hyperasymptotic) evaluation of Laplace and... 
Asymptotic expansions | Integral equations | Asymptotic theory | Laplace transformation
Book
2007, Cambridge series on statistical and probabilistic mathematics, ISBN 9780521872508, xi, 564
Book
IEEE Transactions on Antennas and Propagation, ISSN 0018-926X, 08/2013, Volume 61, Issue 8, pp. 4183 - 4193
Journal Article
IMA Journal of Numerical Analysis, ISSN 0272-4979, 04/2018, Volume 38, Issue 2, pp. 720 - 742
Abstract The limited memory steepest descent method (LMSD) proposed by Fletcher is an extension of the Barzilai–Borwein ‘two-point step size’ strategy for... 
quadratic optimization | R-linear rate of convergence | limited memory methods | steepest descent methods | Barzilai-Borwein methods | unconstrained optimization | MATHEMATICS, APPLIED | BARZILAI | GRADIENT-METHOD | Mathematics
Journal Article
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, ISSN 0022-3239, 02/2020, Volume 184, Issue 2, pp. 507 - 533
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2005, Volume 175, Issue 2, pp. 395 - 414
In this work we propose a Cauchy-like method for solving smooth unconstrained vector optimization problems. When the partial order under consideration is the... 
Pareto optimality | Quasi-Féjer convergence | Steepest descent | [formula omitted]-convexity | Vector optimization | K-convexity | MULTICRITERIA OPTIMIZATION | MATHEMATICS, APPLIED | Quasi-Fejer convergence | steepest descent | vector optimization | pareto optimality | EQUILIBRIUM-ANALYSIS
Journal Article
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