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11,588
Convergence Properties of the NelderMead Simplex Method in Low Dimensions
 SIAM Journal of Optimization
, 1998
"... Abstract. The Nelder–Mead simplex algorithm, first published in 1965, is an enormously popular direct search method for multidimensional unconstrained minimization. Despite its widespread use, essentially no theoretical results have been proved explicitly for the Nelder–Mead algorithm. This paper pr ..."
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Cited by 598 (3 self)
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methods, Nelder–Mead simplex methods, nonderivative optimization AMS subject classifications. 49D30, 65K05
Stochastic Perturbation Theory
, 1988
"... . In this paper classical matrix perturbation theory is approached from a probabilistic point of view. The perturbed quantity is approximated by a firstorder perturbation expansion, in which the perturbation is assumed to be random. This permits the computation of statistics estimating the variatio ..."
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Cited by 907 (36 self)
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and the eigenvalue problem. Key words. perturbation theory, random matrix, linear system, least squares, eigenvalue, eigenvector, invariant subspace, singular value AMS(MOS) subject classifications. 15A06, 15A12, 15A18, 15A52, 15A60 1. Introduction. Let A be a matrix and let F be a matrix valued function of A
ON THE GALOIS COHOMOLOGY OF UNIPOTENT ALGEBRAIC GROUPS OVER LOCAL FIELDS
, 906
"... Abstract. In this paper, we give a necessary and sufficient condition for the finiteness of the Galois cohomology of unipotent groups over local fields of positive characteristic. AMS Mathematics Subject Classification (2000): 11E72. ..."
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Cited by 1 (1 self)
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Abstract. In this paper, we give a necessary and sufficient condition for the finiteness of the Galois cohomology of unipotent groups over local fields of positive characteristic. AMS Mathematics Subject Classification (2000): 11E72.
METRIC ENTROPY AND THE SMALL DEVIATION PROBLEM FOR STABLE PROCESSES
, 2007
"... Abstract. The famous connection between metric entropy and small deviation probabilities of Gaussian processes was discovered by Kuelbs and Li in [6] and completed by Li and Linde in 2000 AMS Mathematics Subject Classification: 60052, 60G15. ..."
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Abstract. The famous connection between metric entropy and small deviation probabilities of Gaussian processes was discovered by Kuelbs and Li in [6] and completed by Li and Linde in 2000 AMS Mathematics Subject Classification: 60052, 60G15.
ON A COMMON FIXED POINT FOR SEQUENCE OF SELFMAPPINGS IN GENERALIZED METRIC SPACE
"... Abstract. We prove the existence and uniqueness of a common fixed point for a sequence of mappings on generalized metric space with a contractive condition. AMS Mathematics Subject Classification (2000): 47H10 ..."
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Abstract. We prove the existence and uniqueness of a common fixed point for a sequence of mappings on generalized metric space with a contractive condition. AMS Mathematics Subject Classification (2000): 47H10
9 EXTENSION OF NULLADDITIVE SET FUNCTIONS ON ALGEBRA OF SUBSETS
"... Abstract. In this note an extensiontype theorem for nulladditive fuzzy measures is proved. AMS Mathematics Subject Classification (2000): 28A25 Key words and phrases: nulladditive set function, algebra of subsets ..."
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Abstract. In this note an extensiontype theorem for nulladditive fuzzy measures is proved. AMS Mathematics Subject Classification (2000): 28A25 Key words and phrases: nulladditive set function, algebra of subsets
Universal OneWay Hash Functions and their Cryptographic Applications
, 1989
"... We define a Universal OneWay Hash Function family, a new primitive which enables the compression of elements in the function domain. The main property of this primitive is that given an element x in the domain, it is computationally hard to find a different domain element which collides with x. We ..."
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Cited by 351 (15 self)
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schemes were based on the stronger mathematical assumption that trapdoor oneway functions exist. Key words. cryptography, randomized algorithms AMS subject classifications. 68M10, 68Q20, 68Q22, 68R05, 68R10 Part of this work was done while the authors were at the IBM Almaden Research Center. The first
On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models
 Annals of Applied Probability
, 1995
"... It is now known that the usual traffic condition (the nominal load being less than one at each station) is not sufficient for stability for a multiclass open queueing network. Although there has been some progress in establishing the stability conditions for a multiclass network, there is no unified ..."
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Cited by 357 (27 self)
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, multiclass feedforward networks and firstbufferfirstserved preemptive resume discipline in a reentrant line are positive Harris recurrent under the usual traffic condition. AMS 1991 subject classification: Primary 60K25, 90B22; Secondary 60K20, 90B35. Key words and phrases: multiclass queueing networks
The Univalence of Integral Operators
, 2008
"... Abstract. In this paper we introduce an integral operator and derive some criteria for univalence of this integral operator for analytic functions in the open unit disk. AMS Mathematics Subject Classification (2000): 30C45 Key words and phrases: Integral operator, univalence, starlike ..."
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Cited by 13 (4 self)
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Abstract. In this paper we introduce an integral operator and derive some criteria for univalence of this integral operator for analytic functions in the open unit disk. AMS Mathematics Subject Classification (2000): 30C45 Key words and phrases: Integral operator, univalence, starlike
On Projection Algorithms for Solving Convex Feasibility Problems
, 1996
"... Due to their extraordinary utility and broad applicability in many areas of classical mathematics and modern physical sciences (most notably, computerized tomography), algorithms for solving convex feasibility problems continue to receive great attention. To unify, generalize, and review some of the ..."
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Cited by 331 (43 self)
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of these algorithms, a very broad and flexible framework is investigated . Several crucial new concepts which allow a systematic discussion of questions on behaviour in general Hilbert spaces and on the quality of convergence are brought out. Numerous examples are given. 1991 M.R. Subject Classification. Primary 47H
Results 1  10
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11,588