Neustadt, Lucien W.
Overview
Works:  35 works in 148 publications in 1 language and 2,558 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author 
Classifications:  QA402.5, 629.8312 
Publication Timeline
.
Most widely held works by
Lucien W Neustadt
Optimization : a theory of necessary conditions by
Lucien W Neustadt(
)
28 editions published between 1976 and 2016 in English and Undetermined and held by 1,110 WorldCat member libraries worldwide
This book presents a comprehensive treatment of necessary conditions for general optimization problems. The presentation is carried out in the context of a general theory for extremal problems in a topological vector space setting. Following a brief summary of the required background, generalized Lagrange multiplier rules are derived for optimization problems with equality and generalized "inequality" constraints. The treatment stresses the importance of the choice of the underlying set over which the optimization is to be performed, the delicate balance between differentiabilitycontinuity requirements on the constraint functionals, and the manner in which the underlying set is approximated by a convex set. The generalized multiplier rules are used to derive abstract maximum principles for classes of optimization problems defined in terms of operator equations in a Banach space. It is shown that special cases include the usual maximum principles for general optimal control problems described in terms of diverse systems such as ordinary differential equations, functional differential equations, Volterra integral equations, and difference equations. Careful distinction is made throughout the analysis between "local" and "global" maximum principles. Originally published in 1977. The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
28 editions published between 1976 and 2016 in English and Undetermined and held by 1,110 WorldCat member libraries worldwide
This book presents a comprehensive treatment of necessary conditions for general optimization problems. The presentation is carried out in the context of a general theory for extremal problems in a topological vector space setting. Following a brief summary of the required background, generalized Lagrange multiplier rules are derived for optimization problems with equality and generalized "inequality" constraints. The treatment stresses the importance of the choice of the underlying set over which the optimization is to be performed, the delicate balance between differentiabilitycontinuity requirements on the constraint functionals, and the manner in which the underlying set is approximated by a convex set. The generalized multiplier rules are used to derive abstract maximum principles for classes of optimization problems defined in terms of operator equations in a Banach space. It is shown that special cases include the usual maximum principles for general optimal control problems described in terms of diverse systems such as ordinary differential equations, functional differential equations, Volterra integral equations, and difference equations. Careful distinction is made throughout the analysis between "local" and "global" maximum principles. Originally published in 1977. The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Computing methods in optimization problems : proceedings by
A. V Balakrishnan(
Book
)
8 editions published between 1964 and 1966 in English and Undetermined and held by 403 WorldCat member libraries worldwide
8 editions published between 1964 and 1966 in English and Undetermined and held by 403 WorldCat member libraries worldwide
Mathematical theory of control; proceedings of a conference held at the University of Southern California, Los Angeles, January
30February 1, 1967 by Conference on the Mathematical Theory of Control(
Book
)
11 editions published in 1967 in English and held by 386 WorldCat member libraries worldwide
11 editions published in 1967 in English and held by 386 WorldCat member libraries worldwide
Computing methods in optimization problems, 2; papers by International Conference on Computing Methods in Optimization Problems(
Book
)
4 editions published in 1969 in English and held by 257 WorldCat member libraries worldwide
4 editions published in 1969 in English and held by 257 WorldCat member libraries worldwide
The mathematical theory of optimal processes by
L. S Pontri︠a︡gin(
Book
)
16 editions published between 1962 and 1986 in English and Undetermined and held by 131 WorldCat member libraries worldwide
16 editions published between 1962 and 1986 in English and Undetermined and held by 131 WorldCat member libraries worldwide
Computing methods in optimization problems : proceedings of a conference held at University of California, Los Angeles January
3031, 1964 by
A. V Balakrishnan(
Book
)
21 editions published between 1964 and 2014 in English and held by 117 WorldCat member libraries worldwide
Computing Methods in Optimization Problems
21 editions published between 1964 and 2014 in English and held by 117 WorldCat member libraries worldwide
Computing Methods in Optimization Problems
Computing methods in optimization problems. papers presented at [the Second International] Conference [on Computing Methods
in Optimization Problems] held at San Remo, Italy, September 913, 1968 by International Conference on Computing Methods in Optimization Problems(
Book
)
10 editions published in 1969 in English and held by 58 WorldCat member libraries worldwide
10 editions published in 1969 in English and held by 58 WorldCat member libraries worldwide
Computing methods in optimization problems 2 by
Los Angeles University of California(
Book
)
9 editions published in 1969 in English and held by 18 WorldCat member libraries worldwide
9 editions published in 1969 in English and held by 18 WorldCat member libraries worldwide
L.S. Pontryagin selected works by
L. S Pontri︠a︡gin(
Book
)
5 editions published in 1986 in English and held by 16 WorldCat member libraries worldwide
5 editions published in 1986 in English and held by 16 WorldCat member libraries worldwide
Mathematical theory of control by
A. V Balakrishnan(
Book
)
7 editions published in 1967 in English and held by 15 WorldCat member libraries worldwide
7 editions published in 1967 in English and held by 15 WorldCat member libraries worldwide
The mathematical theory of optimal processes by
L. S Pontri︠a︡gin(
)
2 editions published between 1986 and 2018 in English and held by 15 WorldCat member libraries worldwide
"The fourth and final volume in this comprehensive set presents the maximum principle as a wide ranging solution to nonclassical, variational problems. This one mathematical method can be applied in a variety of situations, including linear equations with variable coefficients, optimal processes with delay, and the jump condition. As with the three preceding volumes, all the material contained with the 42 sections of this volume is made easily accessible by way of numerous examples, both concrete and abstract in nature."Provided by publisher
2 editions published between 1986 and 2018 in English and held by 15 WorldCat member libraries worldwide
"The fourth and final volume in this comprehensive set presents the maximum principle as a wide ranging solution to nonclassical, variational problems. This one mathematical method can be applied in a variety of situations, including linear equations with variable coefficients, optimal processes with delay, and the jump condition. As with the three preceding volumes, all the material contained with the 42 sections of this volume is made easily accessible by way of numerous examples, both concrete and abstract in nature."Provided by publisher
Proceedings of a conference held at the University of Southern California, Los Angeles, January 30February 1, 1967 by Conference on the Mathematical Theory of Control(
Book
)
1 edition published in 1967 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1967 in English and held by 3 WorldCat member libraries worldwide
Computing methods in optimization problems; proceedings. Edited by A.V. Balakrishnan [and] Lucien W. Neustadt by
Conference on Computing Methods on Optimization Problems(
Book
)
2 editions published between 1964 and 1966 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 1964 and 1966 in English and held by 3 WorldCat member libraries worldwide
Computing methods in optimization problems : papers presented at the 2nd International Conference on Computing Methods in
Optimization Problems, San Remo, Italy, Sept. 913, 1968 by 2d, San Remo, Italy, 1968 International Conference on Computing Methods in Optimization Problems(
Book
)
1 edition published in 1969 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1969 in English and held by 3 WorldCat member libraries worldwide
Necessary conditions for an extremum by
B. N Pshenichnyĭ(
Book
)
2 editions published in 1971 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1971 in English and held by 2 WorldCat member libraries worldwide
The mathematical theory of optimal processes by L. S Pontri{u0361}a︡gin(
)
1 edition published in 1986 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 2 WorldCat member libraries worldwide
Derivation of 3 dimensional trajectory equations for a lifting reentry vehicle(
Book
)
1 edition published in 1960 in English and held by 1 WorldCat member library worldwide
This memorandum presents the equations of motion of a lifting reentry vehicle. They are derived in a form particularly suitable for mechanization on an analog computer. The vehicle is assumed to behave as if it were a point mass moving over a spherical, nonrotating earth which is assumed to be fixed in inertial space
1 edition published in 1960 in English and held by 1 WorldCat member library worldwide
This memorandum presents the equations of motion of a lifting reentry vehicle. They are derived in a form particularly suitable for mechanization on an analog computer. The vehicle is assumed to behave as if it were a point mass moving over a spherical, nonrotating earth which is assumed to be fixed in inertial space
General necessary conditions for optimization problems by Hubert H Halkin(
Book
)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
A general theory of extremals by
Lucien W Neustadt(
Book
)
1 edition published in 1968 in English and held by 1 WorldCat member library worldwide
1 edition published in 1968 in English and held by 1 WorldCat member library worldwide
On synthesizing optimal controls by
Lucien W Neustadt(
Book
)
1 edition published in 1962 in English and held by 1 WorldCat member library worldwide
1 edition published in 1962 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Balakrishnan, A. V. Author Editor
 University of Southern California
 Zadeh, Lotfi A. (Lotfi Asker) Author Editor
 Society for Industrial and Applied Mathematics
 University of California, Berkeley
 Pontri︠a︡gin, L. S. (Lev Semenovich) 19081988 Other Author
 Trirogoff, K. N. Translator
 Boltânskij, Vladimir Grigorʹevič (1925 ...) Contributor
 Gamkrelidze, Revaz Valerianovich (1927 ...) Contributor
 Miŝenko, Evgenij Frolovič (1922 ...) Contributor