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Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Optimization (G.1.6) > Gradient Methods (G.1.6...)
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1-8 of 8
Reviews about "Gradient Methods (G.1.6...)":
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A new gradient method with an optimal stepsize property
Dai Y., Yang X. Computational Optimization and Applications 33(1): 73-88, 2006. Type: Article
The numerical treatment of large linear systems of equations is a major field in computational mathematics. There are two classes of methods: direct methods, which deliver the solution vector after a finite number of arithmetic operati...
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Oct 31 2006 |
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A projected gradient method for vector optimization problems
Drummond L., Iusem A. Computational Optimization and Applications 28(1): 5-29, 2004. Type: Article
Multi-objective optimization has long been an important research topic in both the academic and industrial sectors, and it has many real-world applications. A significant extension is constrained vector-valued optimization, which corre...
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Sep 7 2005 |
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Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization
Zhu C., Byrd R., Lu P., Nocedal J. ACM Transactions on Mathematical Software 23(4): 550-560, 1997. Type: Article
The authors provide an excellent algorithmic description of the software known as L-BFGS-B, an extension of a well-known limited-memory BFGS algorithm and software (due to Liu and Nocedal), L-BFGS. Bound constraints are often not treat...
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Feb 1 1999 |
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Algorithm 734; a Fortran 90 code for unconstrained nonlinear minimization
Buckley A. ACM Transactions on Mathematical Software 20(3): 354-372, 1994. Type: Article
Fortran 90 compilers are now available from a variety of sources for most of the commonly used scientific and engineering computing environments. A big question now for developers of scientific software is whether to use Fortran 90, st...
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Nov 1 1995 |
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Nonlinear parameter estimation: an integrated system in BASIC
Nash J., Walker-Smith M., Marcel Dekker, Inc., New York, NY, 1987. Type: Book (9789780824778194)
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Jan 1 1989 |
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A convergence theorem of Rosen’s gradient projection method
Du D. (ed), Zhang X. Mathematical Programming: Series A 36(2): 135-144, 1986. Type: Article
As suggested by the title, this paper provides a proof that Rosen’s gradient projection algorithm for solving linearly constrained optimization problems converges to a solution. Since the publication of Rosen’s algo...
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Jul 1 1988 |
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A class of filled functions for finding global minimizers of several variables
Ge R., Qin Y. Journal of Optimization Theory and Applications 54(2): 241-252, 1987. Type: Article
The so-called method of the filled function consists in constructing an auxiliary function, the filled function P(x,r,&rgr;), with a maximizer x*-1- that is a known minimizer of the objective function
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Feb 1 1988 |
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Evaluation of step directions in optimization algorithms
Davidon W., Nocedal J. ACM Transactions on Mathematical Software 11(1): 12-19, 1985. Type: Article
In contrast to most studies comparing the performance of optimization algorithms, this paper focuses on an algorithm’s key feature: its choice of search direction. The rules of the game are simple. An initial point and direct...
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Dec 1 1985 |
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