Robinson, Stephen M.
Overview
Works:  84 works in 327 publications in 4 languages and 2,344 library holdings 

Genres:  Conference papers and proceedings History 
Roles:  Editor, Author 
Publication Timeline
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Most widely held works about
Stephen M Robinson
 [Oral History Program interview with Stephen M. Robinson, 1980] by Stephen M Robinson( Recording )
Most widely held works by
Stephen M Robinson
Mathematical programming; proceedings of an Advanced Seminar by
T. C Hu(
Book
)
22 editions published in 1973 in English and Undetermined and held by 416 WorldCat member libraries worldwide
22 editions published in 1973 in English and Undetermined and held by 416 WorldCat member libraries worldwide
Mathematical topics in economic theory and computation by
Richard Hollis Day(
Book
)
21 editions published between 1971 and 1972 in English and Undetermined and held by 318 WorldCat member libraries worldwide
21 editions published between 1971 and 1972 in English and Undetermined and held by 318 WorldCat member libraries worldwide
Analysis and computation of fixed points by
Stephen M Robinson(
Book
)
23 editions published between 1980 and 2014 in English and held by 291 WorldCat member libraries worldwide
23 editions published between 1980 and 2014 in English and held by 291 WorldCat member libraries worldwide
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(
Book
)
13 editions published between 1974 and 2014 in English and held by 263 WorldCat member libraries worldwide
13 editions published between 1974 and 2014 in English and held by 263 WorldCat member libraries worldwide
Nonlinear programming 3 : proceedings of the Special Interest Group on Mathematical Programming symposium by
Olvi L Mangasarian(
Book
)
18 editions published between 1978 and 2014 in 3 languages and held by 200 WorldCat member libraries worldwide
Monotone operators and augmented lagrangian methods in nonlinear programming; The convergence of variable metric methods for nonlinearly constrained optimization calculations; A hybrid method for nonlinear programming; Twophase algorithm for nonlinear constraint problems; Quasinewton methods for equality constrained optimization: equivalence of existing methods and a new implementation; An idealized exact penalty function; Exact penalty algorithms for nonlinear programming; A variable metric method for linearly constrained minimization problems; Solving systems of nonlinear equations by broyden's method with project updates; At the interface of modeling and algorithms research; Modeling combinatorial mathematical programming problems by netforms: an illustrative application; On the comparative evaluation of algorithms for mathematical programming problems
18 editions published between 1978 and 2014 in 3 languages and held by 200 WorldCat member libraries worldwide
Monotone operators and augmented lagrangian methods in nonlinear programming; The convergence of variable metric methods for nonlinearly constrained optimization calculations; A hybrid method for nonlinear programming; Twophase algorithm for nonlinear constraint problems; Quasinewton methods for equality constrained optimization: equivalence of existing methods and a new implementation; An idealized exact penalty function; Exact penalty algorithms for nonlinear programming; A variable metric method for linearly constrained minimization problems; Solving systems of nonlinear equations by broyden's method with project updates; At the interface of modeling and algorithms research; Modeling combinatorial mathematical programming problems by netforms: an illustrative application; On the comparative evaluation of algorithms for mathematical programming problems
Nonlinear programming 4 : proceedings of the Nonlinear Programming Symposium 4 by
Olvi L Mangasarian(
Book
)
14 editions published between 1981 and 2014 in English and held by 176 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
14 editions published between 1981 and 2014 in English and held by 176 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
An uneasy alliance : the Mathematics Research Center at the University of Wisconsin, 19561987 by
J Chandra(
Book
)
10 editions published in 2005 in English and held by 70 WorldCat member libraries worldwide
In the post World War II era, the Mathematics Research Center (MRC) was one of the earliest comprehensive examples of collaboration between the government and a university. By taking a broad view of mathematics that embraced both the pure and applied branches, the MRC provided a model of an interdisciplinary effort that interacted very well with the spectrum of sciences. This book deals with the complex and challenging organizational and scientific issues that arose in the operation of this center
10 editions published in 2005 in English and held by 70 WorldCat member libraries worldwide
In the post World War II era, the Mathematics Research Center (MRC) was one of the earliest comprehensive examples of collaboration between the government and a university. By taking a broad view of mathematics that embraced both the pure and applied branches, the MRC provided a model of an interdisciplinary effort that interacted very well with the spectrum of sciences. This book deals with the complex and challenging organizational and scientific issues that arose in the operation of this center
A characterization of stability in linear programming by
Stephen M Robinson(
Book
)
6 editions published in 1975 in English and held by 7 WorldCat member libraries worldwide
The author proves that a necessary and sufficient condition for the primal and dual solution sets of a solvable, finitedimensional linear programming problem to be stable under small but arbitrary perturbations in the data of the problem is that both of these sets be bounded. The distance from any pair of solutions of the perturbed problem to the solution sets of the original problem is then bounded by a constant multiple of the norm of the perturbations. These results extend earlier work of Williams
6 editions published in 1975 in English and held by 7 WorldCat member libraries worldwide
The author proves that a necessary and sufficient condition for the primal and dual solution sets of a solvable, finitedimensional linear programming problem to be stable under small but arbitrary perturbations in the data of the problem is that both of these sets be bounded. The distance from any pair of solutions of the perturbed problem to the solution sets of the original problem is then bounded by a constant multiple of the norm of the perturbations. These results extend earlier work of Williams
Policy and price stability in the Von Neumann model of a closed economy by
Stephen M Robinson(
Book
)
6 editions published in 1975 in English and German and held by 7 WorldCat member libraries worldwide
The author shows that a necessary and sufficient condition for stability of the set of feasible technologies and growth factors, or of the set of feasible price systems and interest factors, in a von Neumann model is that there exist no equilibria in which the total output of the economy is without value
6 editions published in 1975 in English and German and held by 7 WorldCat member libraries worldwide
The author shows that a necessary and sufficient condition for stability of the set of feasible technologies and growth factors, or of the set of feasible price systems and interest factors, in a von Neumann model is that there exist no equilibria in which the total output of the economy is without value
A sufficient condition for continuity of optimal sets in mathematical programming by
Stephen M Robinson(
Book
)
6 editions published in 1972 in English and held by 7 WorldCat member libraries worldwide
The paper develops a sufficient condition for continuity (as opposed to upper semicontinuity) of the optimal set of a mathematical program. Applications to the theory of economic choice are discussed. (Author)
6 editions published in 1972 in English and held by 7 WorldCat member libraries worldwide
The paper develops a sufficient condition for continuity (as opposed to upper semicontinuity) of the optimal set of a mathematical program. Applications to the theory of economic choice are discussed. (Author)
Inverse sums of monotone operators by
Stephen M Robinson(
Book
)
4 editions published in 1981 in English and held by 6 WorldCat member libraries worldwide
We show that the inverse image of a point under the sum of two monotone operators in R(n) has a special form if a simple condition is imposed on one of the operators. This result is then applied to characterize the form of the solution set of a monotone linear generalized equation. Some known results are recovered as a special case. (Author)
4 editions published in 1981 in English and held by 6 WorldCat member libraries worldwide
We show that the inverse image of a point under the sum of two monotone operators in R(n) has a special form if a simple condition is imposed on one of the operators. This result is then applied to characterize the form of the solution set of a monotone linear generalized equation. Some known results are recovered as a special case. (Author)
An error bound for approximate solutions of Kconvex inequalities by
Stephen M Robinson(
Book
)
5 editions published in 1973 in English and held by 6 WorldCat member libraries worldwide
The paper establishes an error bound for approximate solutions of certain systems of inequalities. The inequalities are required to satisfy a generalized convexity cone in a normed linear space. The bound is expressed in terms of the functional value at the point in question. (Author)
5 editions published in 1973 in English and held by 6 WorldCat member libraries worldwide
The paper establishes an error bound for approximate solutions of certain systems of inequalities. The inequalities are required to satisfy a generalized convexity cone in a normed linear space. The bound is expressed in terms of the functional value at the point in question. (Author)
Regularity and stability for convex multivalued functions by
Stephen M Robinson(
Book
)
5 editions published in 1976 in English and held by 6 WorldCat member libraries worldwide
Multivalued functions with convex graphs are shown to exhibit certain desirable regularity properties when their ranges have internal points. These properties are applied to develop a perturbation theory for convex inequalities, and to extend results on the continuity of convex functions. (Author)
5 editions published in 1976 in English and held by 6 WorldCat member libraries worldwide
Multivalued functions with convex graphs are shown to exhibit certain desirable regularity properties when their ranges have internal points. These properties are applied to develop a perturbation theory for convex inequalities, and to extend results on the continuity of convex functions. (Author)
A subgradient algorithm for solving Kconvex inequalities by
Stephen M Robinson(
Book
)
6 editions published in 1976 in English and held by 6 WorldCat member libraries worldwide
An algorithm is presented for solving a system of Kconvex inequalities. The method requires the computation of a subgradient of the system at each iteration, but differentiability is not required. Global convergence, at least linear and sometimes quadratic, is shown to hold if the inequalities are regular. (Author)
6 editions published in 1976 in English and held by 6 WorldCat member libraries worldwide
An algorithm is presented for solving a system of Kconvex inequalities. The method requires the computation of a subgradient of the system at each iteration, but differentiability is not required. Global convergence, at least linear and sometimes quadratic, is shown to hold if the inequalities are regular. (Author)
Strongly regular generalized equations by
Stephen M Robinson(
Book
)
4 editions published in 1978 in English and held by 6 WorldCat member libraries worldwide
This paper considers generalized equations, which are convenient tools for formulating problems in complementarity and in mathematical programming, as well as variational inequalities. We introduce a regularity condition for such problems and, with its help, prove existence, uniqueness and Lipschitz continuity of solutions to generalized equations with parametric data. Applications to nonlinear programming and to other areas are discussed, and for important classes of such applications the regularity condition given here is shown to be in a certain sense the weakest possible condition under which the stated properties will hold. (Author)
4 editions published in 1978 in English and held by 6 WorldCat member libraries worldwide
This paper considers generalized equations, which are convenient tools for formulating problems in complementarity and in mathematical programming, as well as variational inequalities. We introduce a regularity condition for such problems and, with its help, prove existence, uniqueness and Lipschitz continuity of solutions to generalized equations with parametric data. Applications to nonlinear programming and to other areas are discussed, and for important classes of such applications the regularity condition given here is shown to be in a certain sense the weakest possible condition under which the stated properties will hold. (Author)
Samplepath solution of stochastic variational inequalities by
Gül Gürkan(
Book
)
2 editions published in 1997 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1997 in English and held by 6 WorldCat member libraries worldwide
Samplepath solutions for simulation optimization problems and stochastic variational inequalities by
Gül Gürkan(
Book
)
2 editions published in 1997 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1997 in English and held by 6 WorldCat member libraries worldwide
Firstorder conditions for nonlinear Pareto optimization by
Stephen M Robinson(
Book
)
5 editions published in 1974 in English and French and held by 6 WorldCat member libraries worldwide
It is shown how firstorder optimality conditions for nonlinear Pareto optimization may be derived in a conceptually simple and unified manner in terms of certain multivalued functions associated with the optimization problem. Necessary conditions for general problems and sufficient conditions for convex problems are developed, and the classical multiplier conditions are shown to be related in a simple way to these. (Author)
5 editions published in 1974 in English and French and held by 6 WorldCat member libraries worldwide
It is shown how firstorder optimality conditions for nonlinear Pareto optimization may be derived in a conceptually simple and unified manner in terms of certain multivalued functions associated with the optimization problem. Necessary conditions for general problems and sufficient conditions for convex problems are developed, and the classical multiplier conditions are shown to be related in a simple way to these. (Author)
Extension of Newton's Method to Mixed Systems of Nonlinear Equations and Inequalities by
Stephen M Robinson(
Book
)
5 editions published in 1971 in English and held by 5 WorldCat member libraries worldwide
The paper shows how Newton's method may be extended, by using linear programming, to solve mixed systems of nonlinear equations and inequalities of the form g(x) <or = 0, f(x) = 0. The number of equations and/or inequalities need not equal the number of variables, and the solutions need not be unique or isolated. An extension of the Kantorovich theorem is proved for this method; it shows, among other things, that the same quadratic rate of convergence holds for this technique as for the conventional version of Newton's method. (Author)
5 editions published in 1971 in English and held by 5 WorldCat member libraries worldwide
The paper shows how Newton's method may be extended, by using linear programming, to solve mixed systems of nonlinear equations and inequalities of the form g(x) <or = 0, f(x) = 0. The number of equations and/or inequalities need not equal the number of variables, and the solutions need not be unique or isolated. An extension of the Kantorovich theorem is proved for this method; it shows, among other things, that the same quadratic rate of convergence holds for this technique as for the conventional version of Newton's method. (Author)
Finitedimensional variational inequalities and complementarity problems by
Francisco Facchinei(
)
2 editions published between 2003 and 2004 in English and held by 0 WorldCat member libraries worldwide
This two volume work presents a comprehensive treatment of the finite dimensional variational inequality and complementarity problem, covering the basic theory, iterative algorithms, and important applications. The authors provide a broad coverage of the finite dimensional variational inequality and complementarity problem beginning with the fundamental questions of existence and uniqueness of solutions, presenting the latest algorithms and results, extending into selected neighboring topics, summarizing many classical source problems, and suggesting novel application domains. This first volume contains the basic theory of finite dimensional variational inequalities and complementarity problems. This book should appeal to mathematicians, economists, and engineers working in the field. A set price of EUR 199 is offered for volume I and II bought at the same time. Please order at: orders@springer.de
2 editions published between 2003 and 2004 in English and held by 0 WorldCat member libraries worldwide
This two volume work presents a comprehensive treatment of the finite dimensional variational inequality and complementarity problem, covering the basic theory, iterative algorithms, and important applications. The authors provide a broad coverage of the finite dimensional variational inequality and complementarity problem beginning with the fundamental questions of existence and uniqueness of solutions, presenting the latest algorithms and results, extending into selected neighboring topics, summarizing many classical source problems, and suggesting novel application domains. This first volume contains the basic theory of finite dimensional variational inequalities and complementarity problems. This book should appeal to mathematicians, economists, and engineers working in the field. A set price of EUR 199 is offered for volume I and II bought at the same time. Please order at: orders@springer.de
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Related Identities
 University of WisconsinMadison Mathematics Research Center Other
 Mangasarian, Olvi L. 1934 Author Editor
 Meyer, Robert R. Editor
 University of WisconsinMadison Computer Sciences Department Editor
 Association for Computing Machinery Special Interest Group on Mathematical Programming
 Hu, T. C. (Te Chiang) 1930 Editor
 Day, Richard Hollis 1933 Author Editor
 United States Office of Naval Research
 University of Wisconsin
 Chandra, J. Author
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Associated Subjects
Algebraic topology Computer scienceMathematics Continuity Convex functions Convex programming Economic developmentMathematical models Economics, Mathematical EconomicsMathematical models Engineering mathematics Equations Evolution equations, Nonlinear Fixed point theory Inequalities (Mathematics) Integral equations Linear complementarity problem Linear programming Mathematical optimization Mathematics MathematicsResearch Military research Monotone operators Nonlinear programming Operations research Programming (Mathematics) Stochastic systemsMathematical models Topological spaces Universities and collegesFaculty University of WisconsinMadison University of WisconsinMadison.Mathematics Research Center Variational inequalities (Mathematics) Von Neumann algebras WisconsinMadison
Alternative Names
Robinson, S. M.
Stephen M. Robinson American mathematician
Stephen M. Robinson Amerikaans wiskundige
Stephen M. Robinson USamerikanischer Mathematiker
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