The Resource Matrices and simplex algorithms : a textbook in mathematical programming and its associated mathematical topics, A.R.G. Heesterman

Matrices and simplex algorithms : a textbook in mathematical programming and its associated mathematical topics, A.R.G. Heesterman

Label
Matrices and simplex algorithms : a textbook in mathematical programming and its associated mathematical topics
Title
Matrices and simplex algorithms
Title remainder
a textbook in mathematical programming and its associated mathematical topics
Statement of responsibility
A.R.G. Heesterman
Creator
Subject
Language
eng
Summary
This book provides an introduction to the theory and application of a range of mathematical programming algorithms, a nd to the prerequisite fields of linear algebra and the graphical presentation of a number of rational functions. The algorithms offered cover matrix inversion, linear programming, quadratic programming with linear side-conditions, quadratic programming with quadratic side-conditions, and integer programming. The resolution of mixed systems of equations and inequalities; systems with sign-constrained and free variables; and the accommodation of upper and lower limbs in specified variables without explicitly written restrictions are discussed, for linear programming, as well as for quadratic programming with linear side-conditions. Of the algorithms provided, the sequentially constrained maximization method for solving the general quantitive programming problem is, in part, novel. The other algorithms are, in outline, established methods. There is however, a more direct approach to the problem of the infeasible starting solution and, as a result, a less rigid separation between the traditional I and II than is usual
Cataloging source
DLC
http://library.link/vocab/creatorName
Heesterman, A. R. G
Index
index present
LC call number
QA402.5
LC item number
.H43 1983
Literary form
non fiction
http://library.link/vocab/subjectName
  • Programming (Mathematics)
  • Matrices
  • Matrices
  • Programmation (Mathématiques)
  • Matrices
  • Programming (Mathematics)
  • Wiskundige economie
  • Optimierung
  • Matrix (Mathematik)
  • Mathematik
  • Programmierung
Label
Matrices and simplex algorithms : a textbook in mathematical programming and its associated mathematical topics, A.R.G. Heesterman
Instantiates
Publication
Note
Includes index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
pt. I. Matrices, block-equations, and determinants. Equations-systems and tableaux -- Matrix notation -- Block-equations and matrix-inversion -- Some operators and their use -- Determinants and rank -- pt. II. Graphs and linear programming. Vectors and coordinate-spaces -- Some basic linear programming concepts -- Outline of the simplex algorithm -- The search for a feasible solution -- Mixed systems, upper and lower bounds -- Duality -- Linear programming on the computer -- Parametric variation of the L.P. problem -- pt. III. Some general mathematical programming notions and related matrix algebra. Topology of feasible space areas and its relation to definiteness -- Optimality conditions -- pt. IV. Quadratic programming. Quadratic programming with linear restrictions -- Parametric methods in quadratic programming -- General quadratic programming -- pt. V. Integer programming. Integer programming and some of its applications -- Branching methods -- The use of cuts
Dimensions
25 cm
Extent
x, 790 pages
Isbn
9789027715142
Lccn
82018540
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)08826105
  • (OCoLC)ocm08826105
Label
Matrices and simplex algorithms : a textbook in mathematical programming and its associated mathematical topics, A.R.G. Heesterman
Publication
Note
Includes index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
pt. I. Matrices, block-equations, and determinants. Equations-systems and tableaux -- Matrix notation -- Block-equations and matrix-inversion -- Some operators and their use -- Determinants and rank -- pt. II. Graphs and linear programming. Vectors and coordinate-spaces -- Some basic linear programming concepts -- Outline of the simplex algorithm -- The search for a feasible solution -- Mixed systems, upper and lower bounds -- Duality -- Linear programming on the computer -- Parametric variation of the L.P. problem -- pt. III. Some general mathematical programming notions and related matrix algebra. Topology of feasible space areas and its relation to definiteness -- Optimality conditions -- pt. IV. Quadratic programming. Quadratic programming with linear restrictions -- Parametric methods in quadratic programming -- General quadratic programming -- pt. V. Integer programming. Integer programming and some of its applications -- Branching methods -- The use of cuts
Dimensions
25 cm
Extent
x, 790 pages
Isbn
9789027715142
Lccn
82018540
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)08826105
  • (OCoLC)ocm08826105

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