In the unconstrained minimization problem, the Wolfe conditions are a set of inequalities for performing inexact line search, especially in quasiâ€¦Â (More)

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2016

2016

- Hiroyuki Sato
- Comp. Opt. and Appl.
- 2016

This article describes a new Riemannian conjugate gradient method and presents a global convergence analysis. The existingâ€¦Â (More)

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2015

2015

- Maren Mahsereci, Philipp Hennig
- NIPS
- 2015

In deterministic optimization problems, line search routines are a standard tool ensuring stability and efficiency. In theâ€¦Â (More)

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2013

Highly Cited

2013

- Adrian S. Lewis, Michael L. Overton
- Math. Program.
- 2013

We investigate the behavior of quasi-Newton algorithms applied to minimize a nonsmooth function f , not necessarily convex. Weâ€¦Â (More)

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2009

2009

- Gaohang Yu, Lutai Guan, Zengxin Wei
- Applied Mathematics and Computation
- 2009

It is well known that global convergence has not been established for the Polakâ€“RibiÃ¨reâ€“ Polyak (PRP) conjugate gradient methodâ€¦Â (More)

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2007

2007

- Paul Armand
- 2007

This paper proposes a line search technique to satisfy a relaxed form of the strong Wolfe conditions in order to guarantee theâ€¦Â (More)

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2006

Highly Cited

2006

- William W. Hager, Hongchao Zhang
- ACM Trans. Math. Softw.
- 2006

Recently, a new nonlinear conjugate gradient scheme was developed which satisfies the descent condition <b>g</b><sup>T</sup><subâ€¦Â (More)

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2005

Highly Cited

2005

- William W. Hager, Hongchao Zhang
- SIAM Journal on Optimization
- 2005

A new nonlinear conjugate gradient method and an associated implementation, based on an inexact line search, are proposed andâ€¦Â (More)

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2002

2002

In this work, an efficient training algorithm for feedforward neural networks is presented. It is based on a scaled version ofâ€¦Â (More)

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1999

Highly Cited

1999

- Yu-Hong Dai, Ya-Xiang Yuan
- SIAM Journal on Optimization
- 1999

Conjugate gradient methods are widely used for unconstrained optimization, especially large scale problems. However, the strongâ€¦Â (More)

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1997

1997

- Jean Charles Gilbert
- SIAM Journal on Optimization
- 1997

This paper describes a reduced quasi-Newton method for solving equality constrained optimization problems. A major difficultyâ€¦Â (More)

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