Author: Heinz König
Publisher:
ISBN:
Category : Programming (Mathematics)
Languages : en
Pages : 268
Book Description
Mathematical Programming at Oberwolfach
Author: Heinz König
Publisher:
ISBN:
Category : Programming (Mathematics)
Languages : en
Pages : 268
Book Description
Publisher:
ISBN:
Category : Programming (Mathematics)
Languages : en
Pages : 268
Book Description
MATHEMATICAL PROGRAMMING AT OBERWOLFACH
Author: Heinz König
Publisher:
ISBN: 9780720483000
Category :
Languages : en
Pages : 0
Book Description
Publisher:
ISBN: 9780720483000
Category :
Languages : en
Pages : 0
Book Description
Mathematical Programming at Oberwolfach II
Author: M. L. Balinski
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 268
Book Description
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 268
Book Description
Mathematical Programming at Oberwolfach II
Author: Bernhard H. Korte
Publisher:
ISBN: 9780044876915
Category : Mathematical optimization
Languages : en
Pages : 0
Book Description
Publisher:
ISBN: 9780044876915
Category : Mathematical optimization
Languages : en
Pages : 0
Book Description
Mathematical programming at Oberwolfach. [1]
Author: Bernhard Korte
Publisher:
ISBN:
Category :
Languages : nl
Pages : 257
Book Description
Publisher:
ISBN:
Category :
Languages : nl
Pages : 257
Book Description
Mathematical Programming Study
Author: H. König
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Mathematical Programming at Oberwolfach, I
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 257
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 257
Book Description
Mathematical Programming at Oberwolfach II
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Optimization and Operations Research
Author: W. Oettli
Publisher: Springer Science & Business Media
ISBN: 3642463290
Category : Business & Economics
Languages : de
Pages : 310
Book Description
The variable metric algorithm is widely recognised as one of the most efficient ways of solving the following problem:- Locate x* a local minimum point n ( 1) of f(x) x E R Considerable attention has been given to the study of the convergence prop- ties of this algorithm especially for the case where analytic expressions are avai- ble for the derivatives g. = af/ax. i 1 ••• n • (2) ~ ~ In particular we shall mention the results of Wolfe (1969) and Powell (1972), (1975). Wolfe established general conditions under which a descent algorithm will converge to a stationary point and Powell showed that two particular very efficient algorithms that cannot be shown to satisfy \,olfe's conditions do in fact converge to the minimum of convex functions under certain conditions. These results will be st- ed more completely in Section 2. In most practical problems analytic expressions for the gradient vector g (Equ. 2) are not available and numerical derivatives are subject to truncation error. In Section 3 we shall consider the effects of these errors on Wolfe's convergent prop- ties and will discuss possible modifications of the algorithms to make them reliable in these circumstances. The effects of rounding error are considered in Section 4, whilst in Section 5 these thoughts are extended to include the case of on-line fu- tion minimisation where each function evaluation is subject to random noise.
Publisher: Springer Science & Business Media
ISBN: 3642463290
Category : Business & Economics
Languages : de
Pages : 310
Book Description
The variable metric algorithm is widely recognised as one of the most efficient ways of solving the following problem:- Locate x* a local minimum point n ( 1) of f(x) x E R Considerable attention has been given to the study of the convergence prop- ties of this algorithm especially for the case where analytic expressions are avai- ble for the derivatives g. = af/ax. i 1 ••• n • (2) ~ ~ In particular we shall mention the results of Wolfe (1969) and Powell (1972), (1975). Wolfe established general conditions under which a descent algorithm will converge to a stationary point and Powell showed that two particular very efficient algorithms that cannot be shown to satisfy \,olfe's conditions do in fact converge to the minimum of convex functions under certain conditions. These results will be st- ed more completely in Section 2. In most practical problems analytic expressions for the gradient vector g (Equ. 2) are not available and numerical derivatives are subject to truncation error. In Section 3 we shall consider the effects of these errors on Wolfe's convergent prop- ties and will discuss possible modifications of the algorithms to make them reliable in these circumstances. The effects of rounding error are considered in Section 4, whilst in Section 5 these thoughts are extended to include the case of on-line fu- tion minimisation where each function evaluation is subject to random noise.
Introduction to Mathematical Programming
Author: N. K. Kwak
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 376
Book Description
This text presents current and classical mathematical programming techniques at an introductory level. It provides case problems to stimulate interest and is aimed for undergraduate courses in management science, operations and decision research, and applied mathematics.
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 376
Book Description
This text presents current and classical mathematical programming techniques at an introductory level. It provides case problems to stimulate interest and is aimed for undergraduate courses in management science, operations and decision research, and applied mathematics.