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pro vyhledávání: '"Richard W. Cottle"'
Autor:
Richard W. Cottle
Publikováno v:
Journal of Optimization Theory and Applications. 175:255-277
An important scientific problem of the seventeenth and eighteenth centuries was to determine the figure of the earth. This problem attracted the attention of many notable people, one of whom was Roger Joseph Boscovich a Jesuit priest and natural scie
Publikováno v:
Mathematical Programming. 160:477-493
We identify a class of Linear Complementarity Problems (LCPs) that are solvable in strongly polynomial time by Lemke's Algorithm (Scheme 1) or by the Parametric Principal Pivoting Method (PPPM). This algorithmic feature for the class of problems unde
Publikováno v:
The New Palgrave Dictionary of Economics ISBN: 9781349951215
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7aceea16c194eb5c0a2a25d9461953e8
https://doi.org/10.1057/978-1-349-95189-5_2839
https://doi.org/10.1057/978-1-349-95189-5_2839
Autor:
Richard W. Cottle, Mukund N. Thapa
This textbook on Linear and Nonlinear Optimization is intended for graduate and advanced undergraduate students in operations research and related fields. It is both literate and mathematically strong, yet requires no prior course in optimization.
Autor:
Mukund N. Thapa, Richard W. Cottle
Publikováno v:
International Series in Operations Research & Management Science ISBN: 9781493970537
The discussion of the Simplex Algorithm for linear programming presented in the previous chapter included two crucial assumptions. The first was that a starting basic feasible solution was known and, moreover, that the system was in canonical form wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c59d07c736953c685bad1ea488878a92
https://doi.org/10.1007/978-1-4939-7055-1_4
https://doi.org/10.1007/978-1-4939-7055-1_4
Autor:
Mukund N. Thapa, Richard W. Cottle
Publikováno v:
International Series in Operations Research & Management Science ISBN: 9781493970537
We now turn to the study of nonlinear programming, also known as nonlinear optimization. In this chapter we discuss the differences between linear and nonlinear programming and state the form of the general nonlinear optimization model. We will see t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d4da72e0a2cadb2c0a6ca7be7d379ee
https://doi.org/10.1007/978-1-4939-7055-1_8
https://doi.org/10.1007/978-1-4939-7055-1_8
Autor:
Richard W. Cottle, Mukund N. Thapa
Publikováno v:
International Series in Operations Research & Management Science ISBN: 9781493970537
As we have observed, the constraints of a meaningful linear program must include at least one linear inequality, but otherwise they may be composed of linear equations, linear inequalities, or some of each.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97b1ff33868d3ecd353de7076cc1d8bf
https://doi.org/10.1007/978-1-4939-7055-1_2
https://doi.org/10.1007/978-1-4939-7055-1_2
Autor:
Mukund N. Thapa, Richard W. Cottle
Publikováno v:
International Series in Operations Research & Management Science ISBN: 9781493970537
In this chapter we take up some additional techniques of a mostly practical nature: the handling of linear programs with explicitly bounded variables; the construction of a starting (feasible) basis; structured linear programs; the steepest-edge rule
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d3bd4d777e09581ea31306c2ff32879a
https://doi.org/10.1007/978-1-4939-7055-1_7
https://doi.org/10.1007/978-1-4939-7055-1_7
Autor:
Richard W. Cottle, Mukund N. Thapa
Publikováno v:
International Series in Operations Research & Management Science ISBN: 9781493970537
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e63861b691872d66d38a71340c72799c
https://doi.org/10.1007/978-1-4939-7055-1_10
https://doi.org/10.1007/978-1-4939-7055-1_10
Autor:
Richard W. Cottle, Mukund N. Thapa
Publikováno v:
International Series in Operations Research & Management Science ISBN: 9781493970537
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab98a3f54f97cabc2d29cdce8a7f17a3
https://doi.org/10.1007/978-1-4939-7055-1_6
https://doi.org/10.1007/978-1-4939-7055-1_6