Mangasarian, Olvi L. 1934Overview
Publication Timeline
Most widely held works by
Olvi L Mangasarian
Nonlinear programming
by Olvi L Mangasarian
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Book
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60 editions published between 1969 and 1994 in 3 languages and held by 1,160 WorldCat member libraries worldwide This reprint of the 1969 book of the same name is a concise, rigorous, yet accessible, account of the fundamentals of constrained optimization theory. Many problems arising in diverse fields such as machine learning, medicine, chemical engineering, structural design, and airline scheduling can be reduced to a constrained optimization problem. This book provides readers with the fundamentals needed to study and solve such problems. Beginning with a chapter on linear inequalities and theorems of the alternative, basics of convex sets and separation theorems are then derived based on these theorems. This is followed by a chapter on convex functions that includes theorems of the alternative for such functions. These results are used in obtaining the saddlepoint optimality conditions of nonlinear programming without differentiability assumptions. Properties of differentiable convex functions are derived and then used in two key chapters of the book, one on optimality conditions for differentiable nonlinear programs and one on duality in nonlinear programming. Generalizations of convex functions to pseudoconvex and quasiconvex functions are given and then used to obtain generalized optimality conditions and duality results in the presence of nonlinear equality constraints. The book has four useful selfcontained appendices on vectors and matrices, topological properties of ndimensional real space, continuity and minimization, and differentiable functions
Nonlinear programming, 2 : proceedings of the Special Interest Group on Mathematical Programming symposium, conducted by the Computer Sciences Department at the University of WisconsinMadison, April 1517, 1974
by Symposium on Nonlinear Programming
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Book
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8 editions published in 1975 in English and held by 266 WorldCat member libraries worldwide
Linear programming with MATLAB
by Michael C Ferris
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Book
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13 editions published in 2007 in English and held by 256 WorldCat member libraries worldwide This textbook provides a selfcontained introduction to linear programming using MATLAB® software to elucidate the development of algorithms and theory. Early chapters cover linear algebra basics, the simplex method, duality, the solving of large linear problems, sensitivity analysis, and parametric linear programming. In later chapters, the authors discuss quadratic programming, linear complementarity, interiorpoint methods, and selected applications of linear programming to approximation and classification problems. Exercises are interwoven with the theory presented in each chapter, and two appendices provide additional information on linear algebra, convexity, nonlinear functions, and on available MATLAB commands, respectively. Readers can access MATLAB codes and associated mex files at a Web site maintained by the authors. Only a basic knowledge of linear algebra and calculus is required to understand this textbook, which is geared toward junior and seniorlevel undergraduate students, firstyear graduate students, and researchers unfamiliar with linear programming
Nonlinear programming 3 : proceedings of the Special Interest Group on Mathematical Programming symposium
by Olvi L Mangasarian
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Book
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9 editions published in 1978 in English and Undetermined and held by 181 WorldCat member libraries worldwide
Nonlinear programming 4 : proceedings of the Nonlinear Programming Symposium 4
by Nonlinear Programming Symposium
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Book
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9 editions published in 1981 in English and held by 175 WorldCat member libraries worldwide An upper triangular matrix method for quadratic programming; Solving quadratic programs by an exact penalty function; QPBased methods for largescale nonlinearly constrained optimization; Numerical experiments with an exact L1, penalty function method; An iterative linear programming algorithm based on an augmented lagrangian; Iterative algorithms for singular minimization problems; A new derivation of symmetric positive definite secant updates; On preconditioned conjugate gradient method; Finding the global minimum of a function of one variable using the methods of constant signed higher order derivatives; On a bundle algorithms for nonsmooth optimization; Convergence results in a class of variable metric subgradient methods; Monotropic programming: descent algorithms and duality
Complementarity : applications, algorithms, and extensions
by Michael C Ferris
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Book
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5 editions published between 2001 and 2011 in English and held by 80 WorldCat member libraries worldwide "This volume contains a collection of papers from experts in the field of complementarity on stateoftheart applications, algorithms, extensions and theory, resulting in a contemporary view of the complete field of complementarity." "The impact of complementarity in such diverse fields as deregulation of electricity markets, engineering mechanics, optimal control and asset pricing is described using both survey and current research articles. The articles outline problem classes where complementarity can be used to model both physical and structural phenomena in ways that lead to new solution approaches. The novel application of complementarity and optimization ideas to problems in the burgeoning fields of machine learning and data mining is covered."
Iterative solution of linear programs
by Olvi L Mangasarian
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Book
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3 editions published in 1979 in English and held by 59 WorldCat member libraries worldwide
Computational optimization : a tribute to Olvi Mangasarian
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Book
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1 edition published in 1999 in English and held by 38 WorldCat member libraries worldwide
Error bounds for nondegenerate monotone linear complementarity problems
by Olvi L Mangasarian
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Book
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4 editions published between 1985 and 1988 in English and held by 7 WorldCat member libraries worldwide
Nonlinear programming, 3 / proceedings of the Special Interest Group on Mathematical Programming symposium, conducted by the Computer Sciences Department at the University of WisconsinMadison, July 1113, 1977
by Symposium on Nonlinear Programming
(
Book
)
2 editions published in 1978 in English and held by 6 WorldCat member libraries worldwide
Asynchronous parallel successive overrelaxation for the symmetric linear complementarity problem
by R De Leone
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Book
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3 editions published in 1988 in English and held by 5 WorldCat member libraries worldwide
New error bounds for the linear complementarity problem
by Olvi L Mangasarian
(
Book
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2 editions published in 1993 in English and held by 5 WorldCat member libraries worldwide Abstract: "New local and global error bounds are given for both nonmonotone and monotone linear complementarity problems. Comparisons of various residuals used in these error bounds are given. A possible candidate for a 'best' error bound emerges from our comparison as the sum of two natural residuals."
Optimal simplex tableau characterization of unique and bounded solutions of linear programs
by Olvi L Mangasarian
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Book
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2 editions published in 1980 in English and held by 5 WorldCat member libraries worldwide
Dual, feasible direction algorithms
by Olvi L Mangasarian
(
Book
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3 editions published in 1972 in English and Undetermined and held by 5 WorldCat member libraries worldwide
Mathematical programming in neural networks
by Olvi L Mangasarian
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Book
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1 edition published in 1992 in English and held by 4 WorldCat member libraries worldwide Abstract: "This paper highlights the role of mathematical programming, particularly linear programming, in training neural networks. A neural network description is given in terms of separating planes in the input space that suggests the use of linear programming for determining these planes. A more standard description in terms of a mean square error in the output space is also given, which leads to the use of unconstrained minimization techniques for training a neural network. The linear programming approach is demonstrated by a brief description of a system for breast cancer diagnosis that has been in use for the last four years at a major medical facility."
Nuclear feature extraction for breast tumor diagnosis
by Nick Street
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Book
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1 edition published in 1992 in English and held by 4 WorldCat member libraries worldwide After 569 images were analyzed in this fashion, different combinations of features were tested to find those which best separate benign from malignant samples. Tenfold crossvalidation accuracy of 97% was achieved using a single separating plane on three of the thirty features: mean texture, worst area and worst smoothness. This represents an improvement over the best diagnostic results in the medical literature. The system is currently in use at the University of Wisconsin Hospitals. The same feature set has also been utilized in the much more difficult task of predicting distant recurrence of malignancy in patients, resulting in an accuracy of 86%."
Parallel constraint distribution
by Michael C Ferris
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Book
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2 editions published in 1990 in English and held by 4 WorldCat member libraries worldwide Abstract: "Constraints of a mathematical program are distributed among parallel processors together with an appropriately constructed augmented Lagrangian for each processor which contains Lagrangian information on the constraints handled by the other processors. Lagrange multiplier information is then exchanged between processors. Convergence is established under suitable conditions for strongly convex quadratic programs and for general convex programs."
Multicategory discrimination via linear programming
by Kristin P Bennett
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Book
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1 edition published in 1992 in English and held by 4 WorldCat member libraries worldwide For this case it is shown that the null solution is never a unique solver of the linear program and occurs only under the rather rare condition when the mean of each point set equals the mean of the means of the other k1 sets. This makes the proposed linear computational programming formulation useful for approximately discriminating between k sets that are not piecewiselinear separable. Computational results are reported for three previously available databases."
Cancer diagnosis via linear programming
by Olvi L Mangasarian
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Book
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2 editions published in 1990 in English and held by 4 WorldCat member libraries worldwide Abstract: "This report describes informally a diagnostic system that has been in operation at University of Wisconisn [sic] Hospitals for the past 17 months. The system, which has correctly diagnosed 165 out of 166 cases in that period, is based on linear programming and can also be viewed as a neural network."
Parallel successive overrelaxation methods for symmetric linear complementarity problems and linear programs
by Olvi L Mangasarian
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Book
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4 editions published in 1986 in English and Undetermined and held by 4 WorldCat member libraries worldwide A parallel successive overrelaxation (SOR) method is proposed for the solution of the fundamental symmetric linear complementarity problem. Convergence is established under a relaxation factor which approaches the classical value of 2 for a loosely coupled problem. The parallel SOR algorithm is then applied to solve the symmetric linear complementarity problem associated with the least norm solution of a linear program more
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Algebras, Linear Algorithms Artificial intelligence CancerDiagnosis Convergence Economics Engineering mathematics Errors Expert systems (Computer science) Image processing Information theory Iterative methods (Mathematics) Linear complementarity problem Linear programming Linear programmingData processing Mathematical optimization Mathematical optimizationData processing Mathematics MATLAB Neural circuitry Neural networks (Computer science) Nonlinear programming Nonlinear programmingData processing Nonlinear theories Parallel processing (Electronic computers) Programming (Mathematics) Quadratic programming Relaxation methods (Mathematics) Simplexes (Mathematics)

Alternative Names
Mangasarian, O. L.
Mangasarian, O. L. 1934
Mangasarian, O. L. (Olvi L.), 1934
Mangasarian, Olvi Leon 1934
マンガサリアン, O. L
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