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Subjects / keywords: mathematical modeling, approximation theory, computer simulation, control theory and fuzzy theory with applications, optimization theory; Science: Mathematics

The study of inequalities in mathematics is fundamental for understanding areas such as analysis, probability theory, and optimization. Notable inequalities include Jensen's and Young's convolution inequalities. Jensen's...

From the Publisher: Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed wi...

Introduction and Preliminaries. Problems, Algorithms, and Complexity. LINEAR ALGEBRA. Linear Algebra and Complexity. LATTICES AND LINEAR DIOPHANTINE EQUATIONS. Theory of Lattices and Linear Diophantine Equations. Algorit...

Subjects / keywords: Topology optimization; Truss; Topology (electrical circuits); Isotropy; Index (typography); Computer science; General topology; Mathematics; Engineering; Physics; Discrete mathematics; Structural engineering

1. The general discrete inverse problem 2. Monte Carol methods 3. The least-squares criterion 4. Least-absolute values criterion and minimax criterion 5. Functional inverse problems 6. Appendices 7. Problems References I...

Many problems of recent interest in statistics and machine learning can be posed in the framework of convex optimization. Due to the explosion in size and complexity of modern datasets, it is increasingly important to be...

Many problems of recent interest in statistics and machine learning can be posed in the framework of convex optimization. Due to the explosion in size and complexity of modern datasets, it is increasingly important to be...

FOUNDATIONS. The Scope of Integer and Combinatorial Optimization. Linear Programming. Graphs and Networks. Polyhedral Theory. Computational Complexity. Polynomial-Time Algorithms for Linear Programming. Integer Lattices....

Big Data applications are typically associated with systems involving large numbers of users, massive complex software systems, and large-scale heterogeneous computing and storage architectures. The construction of such ...

The MATLAB toolbox YALMIP is introduced. It is described how YALMIP can be used to model and solve optimization problems typically occurring in systems and control theory. In this paper, free MATLAB toolbox YALMIP, devel...

Subjects / keywords: Perspective (graphical); Mathematical optimization; Global optimization; Computer science; Code (set theory); Simple (philosophy); Differential evolution; Optimization problem; Management science; Theoretical computer sc...

Subjects / keywords: Extension (predicate logic); Realization (probability); Maximum likelihood; Mathematics; Likelihood principle; Applied mathematics; Mathematical economics; Calculus (dental); Statistics; Computer science; Mathematical op...

This paper reports on an optimum dynamic progxamming (DP) based time-normalization algorithm for spoken word recognition. First, a general principle of time-normalization is given using time-warping function. Then, two t...

Although the problem of determining the minimum cost path through a graph arises naturally in a number of interesting applications, there has been no underlying theory to guide the development of efficient search procedu...

Multi-objective evolutionary algorithms (MOEAs) that use non-dominated sorting and sharing have been criticized mainly for: (1) their O(MN/sup 3/) computational complexity (where M is the number of objectives and N is th...

Subjects / keywords: Computer science; Flow network; Maximum flow problem; Context (archaeology); Key (lock); Operations research; Mathematical optimization; Game theory; Graph; Flow (mathematics); Graph theory; Management science

Subjects / keywords: Control theory (sociology); Separation principle; Robustness (evolution); Mathematics; LTI system theory; Robust control; Linear matrix inequality; Observer (physics); State observer; Linear system; Computer science; Mat...

Previous article Next article An Algorithm for Least-Squares Estimation of Nonlinear ParametersDonald W. MarquardtDonald W. Marquardthttps://doi.org/10.1137/0111030PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport Ci...

Recently, a number of researchers have investigated a class of graph partitioning algorithms that reduce the size of the graph by collapsing vertices and edges, partition the smaller graph, and then uncoarsen it to const...

A method is described for the minimization of a function of n variables, which depends on the comparison of function values at the (n + 1) vertices of a general simplex, followed by the replacement of the vertex with the...

Subjects / keywords: Model predictive control; Optimal control; Control theory (sociology); Stability (learning theory); Sequence (biology); Mathematical optimization; Horizon; Nonlinear system; Control (management); Time horizon; Mathematic...

Little has been done in the study of these intriguing questions, and I do not wish to give the impression that any extensive set of ideas exists that could be called a "theory." What is quite surprising, as far as the hi...

We introduce a new class of problems called network information flow which is inspired by computer network applications. Consider a point-to-point communication network on which a number of information sources are to be ...