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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...

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...

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...

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

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...

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...

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...

Materias / palabras clave: 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...

The particle swarm is an algorithm for finding optimal regions of complex search spaces through the interaction of individuals in a population of particles. This paper analyzes a particle's trajectory as it moves in disc...

Suppose x is an unknown vector in Ropf m (a digital image or signal); we plan to measure n general linear functionals of x and then reconstruct. If x is known to be compressible by transform coding with a known transform...

Materias / palabras clave: applied mathematics, analysis, topology, fixed point theory, optimization; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods; Science: Mathematics...

Materias / palabras clave: mathematical modeling, approximation theory, computer simulation, control theory and fuzzy theory with applications, optimization theory; Science: Mathematics

Materias / palabras clave: numerical analysis, approximation theory, applied mathematics, optimization, differential equations, mathematics; Science: Mathematics

Materias / palabras clave: functional analysis and operator theory, partial differential equations, applied mathematics, convex and geometric analysis, control and optimization; Science: Mathematics

Materias / palabras clave: graphs and hypergraphs, network theory, combinatorial optimization, coding theory, block designs; Science: Mathematics

Materias / palabras clave: mathematical modelling, parallel algorithms, scientific computing, optimization, approximation theory, numerical analysis; Science: Mathematics

Materias / palabras clave: numerical analysis, ordinary and partial differential equations, optimization theory, control theory, linear and nonlinear functional analysis, classical analysis; Science: Mathematics

Materias / palabras clave: control, game theory, approximation theory, optimization, mathematics, mechanics; Science: Mathematics