Unconstrained Steepest Descent Method for Multicriteria Optimization on Riemannian Manifolds

G. C. Bento; O. P. Ferreira; P. R. Oliveira

doi:10.1007/s10957-011-9984-2

Unconstrained Steepest Descent Method for Multicriteria Optimization on Riemannian Manifolds

Journal of Optimization Theory and Applications ◽

10.1007/s10957-011-9984-2 ◽

2012 ◽

Vol 154 (1) ◽

pp. 88-107 ◽

Cited By ~ 28

Author(s):

G. C. Bento ◽

O. P. Ferreira ◽

P. R. Oliveira

Keyword(s):

Riemannian Manifolds ◽

Multicriteria Optimization ◽

Descent Method ◽

Steepest Descent ◽

Steepest Descent Method

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An Inexact Steepest Descent Method for Multicriteria Optimization on Riemannian Manifolds

Journal of Optimization Theory and Applications ◽

10.1007/s10957-013-0305-9 ◽

2013 ◽

Vol 159 (1) ◽

pp. 108-124 ◽

Cited By ~ 6

Author(s):

G. C. Bento ◽

J. X. da Cruz Neto ◽

P. S. M. Santos

Keyword(s):

Riemannian Manifolds ◽

Multicriteria Optimization ◽

Descent Method ◽

Steepest Descent ◽

Steepest Descent Method

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The self regulation problem as an inexact steepest descent method for multicriteria optimization

European Journal of Operational Research ◽

10.1016/j.ejor.2014.01.002 ◽

2014 ◽

Vol 235 (3) ◽

pp. 494-502 ◽

Cited By ~ 4

Author(s):

G.C. Bento ◽

J.X. Cruz Neto ◽

P.R. Oliveira ◽

A. Soubeyran

Keyword(s):

Multicriteria Optimization ◽

Self Regulation ◽

Descent Method ◽

Steepest Descent ◽

The Self ◽

Steepest Descent Method

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Steepest descent method with a generalized Armijo search for quasiconvex functions on Riemannian manifolds

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.10.010 ◽

2008 ◽

Vol 341 (1) ◽

pp. 467-477 ◽

Cited By ~ 19

Author(s):

E.A. Papa Quiroz ◽

E.M. Quispe ◽

P. Roberto Oliveira

Keyword(s):

Riemannian Manifolds ◽

Descent Method ◽

Steepest Descent ◽

Steepest Descent Method ◽

Quasiconvex Functions

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Iteration-Complexity and Asymptotic Analysis of Steepest Descent Method for Multiobjective Optimization on Riemannian Manifolds

Journal of Optimization Theory and Applications ◽

10.1007/s10957-019-01615-7 ◽

2019 ◽

Vol 184 (2) ◽

pp. 507-533

Author(s):

Orizon P. Ferreira ◽

Mauricio S. Louzeiro ◽

Leandro F. Prudente

Keyword(s):

Multiobjective Optimization ◽

Asymptotic Analysis ◽

Riemannian Manifolds ◽

Descent Method ◽

Steepest Descent ◽

Steepest Descent Method ◽

Iteration Complexity

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Steepest Descent Method Based Transmission Power Control in Vehicular Networks

JOURNAL OF ELECTRONICS INFORMATION TECHNOLOGY ◽

10.3724/sp.j.1146.2009.01441 ◽

2010 ◽

Vol 32 (10) ◽

pp. 2536-2540 ◽

Cited By ~ 1

Author(s):

Yu Zhang ◽

Wei-qiang Xu ◽

Ji-ming Chen ◽

You-xian Sun

Keyword(s):

Power Control ◽

Vehicular Networks ◽

Descent Method ◽

Steepest Descent ◽

Steepest Descent Method ◽

Transmission Power ◽

Transmission Power Control

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Numerical approximation of a Tikhonov type regularizer by a discretized frozen steepest descent method

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.09.022 ◽

2018 ◽

Vol 330 ◽

pp. 488-498

Author(s):

Santhosh George ◽

M. Sabari

Keyword(s):

Numerical Approximation ◽

Descent Method ◽

Steepest Descent ◽

Steepest Descent Method

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FPGA design and implementation of Direct Matrix Inversion based on steepest descent method

2007 50th Midwest Symposium on Circuits and Systems ◽

10.1109/mwscas.2007.4488771 ◽

2007 ◽

Cited By ~ 1

Author(s):

Elie H. Sarraf ◽

Messaoud Ahmed-Ouameur ◽

Daniel Massicotte

Keyword(s):

Descent Method ◽

Matrix Inversion ◽

Steepest Descent ◽

Steepest Descent Method ◽

Fpga Design ◽

Design And Implementation

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Asymptotic Analysis of Vertical Branch-Cut Integral of Shear Waves in a Fluid-Filled Borehole Utilizing the Steepest-Descent Method

Chinese Physics Letters ◽

10.1088/0256-307x/25/2/061 ◽

2008 ◽

Vol 25 (2) ◽

pp. 578-581

Author(s):

Yao Gui-Jin ◽

Song Ruo-Long ◽

Wang Ke-Xie

Keyword(s):

Asymptotic Analysis ◽

Shear Waves ◽

Descent Method ◽

Steepest Descent ◽

Steepest Descent Method ◽

Branch Cut

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The Steepest Descent Method for Orthogonal Polynomials on the Real Line with Varying Weights

International Mathematics Research Notices ◽

10.1093/imrn/rnn075 ◽

2008 ◽

Vol 2008 ◽

Cited By ~ 16

Author(s):

K. T.-R. McLaughlin ◽

P. D. Miller

Keyword(s):

Orthogonal Polynomials ◽

Real Line ◽

Descent Method ◽

Steepest Descent ◽

Steepest Descent Method ◽

The Real

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Hybrid Steepest Descent Method with Variable Parameters for General Variational Inequalities

Journal of Inequalities and Applications ◽

10.1155/2007/19270 ◽

2007 ◽

Vol 2007 (1) ◽

pp. 019270

Author(s):

Yanrong Yu ◽

Rudong Chen

Keyword(s):

Variational Inequalities ◽

Descent Method ◽

Steepest Descent ◽

Steepest Descent Method ◽

Variable Parameters ◽

Hybrid Steepest Descent Method ◽

General Variational Inequalities

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