# Search Results: 'convex analysis'

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10 results for "convex analysis"
Convex Optimization & Euclidean Distance Geometry
Paperback: \$100.00
Optimization is the science of making a best choice in the face of conflicting requirements. Any convex optimization problem has geometric interpretation. If a given optimization problem can be... More > transformed to a convex equivalent, then this interpretive benefit is acquired. That is a powerful attraction: the ability to visualize geometry of an optimization problem. Conversely, recent advances in geometry hold convex optimization within their proofs' core. This book is about convex optimization, convex geometry (with particular attention to distance geometry), geometrical problems, and problems that can be transformed into geometrical problems. Euclidean distance geometry is, fundamentally, a determination of point conformation from interpoint distance information; e.g., given only distance information, determine whether there corresponds a realizable configuration of points; a list of points in some dimension that attains the given interpoint distances. 2005 International Edition I< Less
Convex Optimization & Euclidean Distance Geometry
Paperback: \$99.99
Convex Analysis is the calculus of inequalities while Convex Optimization is its application. Analysis is inherently the domain of the mathematician while Optimization belongs to the engineer. In... More > layman’s terms, the mathematical science of Optimization is the study of how to make a good choice when confronted with conflicting requirements. The qualifier Convex means: when an optimal solution is found, then it is guaranteed to be a best solution; there is no better choice. As any Convex Optimization problem has geometric interpretation, this book is about convex geometry (with particular attention to distance geometry), and nonconvex, combinatorial, and geometrical problems that can be relaxed or transformed into convex problems. A virtual flood of new applications follows by epiphany that many problems, presumed nonconvex, can be so transformed. Revised & Enlarged International Paperback Edition III< Less
Convex Optimization Euclidean Distance Geometry 2e
Hardcover: \$139.44
Convex Analysis is an emerging calculus of inequalities while Convex Optimization is its application. Analysis is the domain of the mathematician while Optimization belongs to the engineer. In... More > layman’s terms, the mathematical science of Optimization is a study of how to make a good choice when faced with conflicting requirements. The qualifier Convex means: when an optimal solution is found, then it is guaranteed to be a best solution; there is no better choice. As any convex optimization problem has geometric interpretation, this book is about convex geometry (with particular attention to distance geometry) and nonconvex, combinatorial, and geometrical problems that can be relaxed or transformed into convexity. A virtual flood of new applications follows by epiphany that many problems, presumed nonconvex, can be so transformed. Full Color Interior Hardcover< Less
Convex Optimization Euclidean Distance Geometry 2e
Paperback: \$40.69
Convex Analysis is an emerging calculus of inequalities while Convex Optimization is its application. Analysis is the domain of the mathematician while Optimization belongs to the engineer. In... More > layman’s terms, the mathematical science of Optimization is a study of how to make a good choice when faced with conflicting requirements. The qualifier Convex means: when an optimal solution is found, then it is guaranteed to be a best solution; there is no better choice. As any convex optimization problem has geometric interpretation, this book is about convex geometry (with particular attention to distance geometry) and nonconvex, combinatorial, and geometrical problems that can be relaxed or transformed into convexity. A virtual flood of new applications follows by epiphany that many problems, presumed nonconvex, can be so transformed. This is a BLACK & WHITE paperback. A hardcover with full color interior, as originally conceived, is available at lulu.com/spotlight/dattorro< Less
Learning algorithms and statistical software, with applications to bioinformatics
Paperback: \$50.00
Toby Dylan Hocking's PhD thesis is divided into two parts: learning algorithms and statistical software. Algorithms for segmentation, clustering, and model selection are discussed in the first part,... More > and the second part explains how to implement several statistical software packages in the R language. The content, which includes 47 color figures, should be appreciated by a reader with a background in statistics, data analysis, machine learning, or programming.< Less
Large Scale Methods to Enumerate Extreme Rays and Elementary Modes (b/w print)
eBook (PDF): \$0.00
A major challenge in systems biology is to improve the understanding of complex metabolic networks. Here, we focus on structural analysis since it requires mainly reaction stoichiometries, in... More > contrary to detailed dynamic methods that are often limited by insufficient knowledge on mechanisms and parameters. Thermodynamic reaction constraints and the steady state assumption reduce the solution space for valid reaction fluxes to a convex polyhedral cone. Pathway analysis methods aim at finding a unique generating set for the flux cone---called extreme rays or elementary modes. We describe critical aspects for an efficient implementation of the double description method for large scale application. The efficiency of introduced techniques is demonstrated with large application examples from combinatorics and systems biology.< Less
Large Scale Methods to Enumerate Extreme Rays and Elementary Modes (color print)
eBook (PDF): \$0.00
A major challenge in systems biology is to improve the understanding of complex metabolic networks. Here, we focus on structural analysis since it requires mainly reaction stoichiometries, in... More > contrary to detailed dynamic methods that are often limited by insufficient knowledge on mechanisms and parameters. Thermodynamic reaction constraints and the steady state assumption reduce the solution space for valid reaction fluxes to a convex polyhedral cone. Pathway analysis methods aim at finding a unique generating set for the flux cone---called extreme rays or elementary modes. We describe critical aspects for an efficient implementation of the double description method for large scale application. The efficiency of introduced techniques is demonstrated with large application examples from combinatorics and systems biology.< Less
Large Scale Methods to Enumerate Extreme Rays and Elementary Modes (color print)
Paperback: \$54.40
A major challenge in systems biology is to improve the understanding of complex metabolic networks. Here, we focus on structural analysis since it requires mainly reaction stoichiometries, in... More > contrary to detailed dynamic methods that are often limited by insufficient knowledge on mechanisms and parameters. Thermodynamic reaction constraints and the steady state assumption reduce the solution space for valid reaction fluxes to a convex polyhedral cone. Pathway analysis methods aim at finding a unique generating set for the flux cone---called extreme rays or elementary modes. We describe critical aspects for an efficient implementation of the double description method for large scale application. The efficiency of introduced techniques is demonstrated with large application examples from combinatorics and systems biology.< Less
Large Scale Methods to Enumerate Extreme Rays and Elementary Modes (b/w print)
Paperback: \$12.40
A major challenge in systems biology is to improve the understanding of complex metabolic networks. Here, we focus on structural analysis since it requires mainly reaction stoichiometries, in... More > contrary to detailed dynamic methods that are often limited by insufficient knowledge on mechanisms and parameters. Thermodynamic reaction constraints and the steady state assumption reduce the solution space for valid reaction fluxes to a convex polyhedral cone. Pathway analysis methods aim at finding a unique generating set for the flux cone---called extreme rays or elementary modes. We describe critical aspects for an efficient implementation of the double description method for large scale application. The efficiency of introduced techniques is demonstrated with large application examples from combinatorics and systems biology.< Less
Theory of Plasticity
Paperback: \$15.55
Equilibrium, constitutive and compatibility relationships. Flexural behaviour. Plastic hinge model. Limit analysis theorems. Plastic admissibility. Virtual work theorem. Reinforce theorem. Collapse... More > load. Greenber-Prager algorithm. Eigenvalues and eigenvectors of the stress tensor. Principal stresses. Hydrostatic, isotropic or mean stress tensor. Deviatoric stress tensor. Haigh-Westergaard space. Resistance criteria for pressure independent materials (metals). Resistance criteria for pressure dependent materials: Mohr criterion, Mohr-Coulomb criterion, Drucker-Prager criterion. Strain decomposition, volumetric strain, specific work. Plasticity applied to a continuum body: Reuss, Von Mises, Prandtl. Elastic strain, permanent (or plastic) strain. Flow rules. Generalized flow rules. Normality rule. Plastic potential. Complementarity rules. Drucker's postulates; normality and convexity. Work-hardenind materials. Hardening rules: isotropic hardening model, Bauschinger effect, kinematic hardening model.< Less

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