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Matrices and Simplex Algorithms - A Textbook in Mathematical Programming and Its Associated Mathematical Topics (Paperback, Softcover reprint of the original 1st ed. 1983)
Loot Price: R1,655
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Matrices and Simplex Algorithms - A Textbook in Mathematical Programming and Its Associated Mathematical Topics (Paperback, Softcover reprint of the original 1st ed. 1983)
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This is a textbook devoted to mathematical programming algorithms
and the mathematics needed to understand such algorithms. It was
mainly written for economists, but the mathematics itself obviously
has relevance for other disciplines. It is a textbook as well a~ in
parts, a contribution to new knowledge. There is, accordingly, a
broad ordering of climbing sophistication, the earlier chapters
being purely for the student, the later chapters being more
specialist and containing some element of novelty on certain
points. The book is edited in five parts. Part I deals with
elementary matrix operations, matrix inversion, determinants, etc.
Part II is mainly devoted to linear programming. As far as
students' readability is concerned, these two parts are elementary
undergraduate material. However, I would claim, in particular with
respect to linear programming, that I do things more efficiently
than the standard textbook approach has it. This refers mainly to
the search for a feasible solution i.e. Chapter 9, and to upper and
lower limits, i.e. Chapter 10. I have also argued that the standard
textbook treatment of degeneracy misses a relevant problem, namely
that of accuracy. In short, I would invite anyone who has the task
of writing or designing an LP-code, to first acquaint himself with
my ideas. viii INTRODUCTION Parts III and IV are concerned with
nonlinear programming.
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