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Bhatti M. — Practical Optimization Methods
Bhatti M. — Practical Optimization Methods



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Название: Practical Optimization Methods

Автор: Bhatti M.

Аннотация:

Textbook presenting basic optimization theory in a concise manner suitable for students in all branches of engineering, operations research, and management information systems. Approaches the subject from both a theoretical and mathematical style.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 715

Добавлена в каталог: 16.07.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Penalty parameter      628
Penalty parameter, effect on convergence      607
Peressini, A.L.      131 707
Performance of different unconstrained methods      281
Phase I fir II simplex method      350
Physical interpretation of Lagrange multipliers      176
Pierre, DA.      131 707
Pike, R.W.      31 707
PlotSearchPath function      254
Polak — Ribiere formula      262
Polak, E.      302 707
Portfolio management example, ActiveSetQP solution      546
Portfolio management example, Graphical solution      67
Portfolio management example, PrimalDualQP solution      532
Portfolio management example, problem formulation      9
Positive definite matrix      498 646
Positive semidefinite matrix      564
Possible cases using Klconditions      153
Post-optimality analysis      376
Primal affine scaling method for LP      445
Primal affine scaling method for QP      502
Primal dual QP method      520
Primal feasibility      467
Primal LP problem      438
Primal-dual interior point for LP      464
Primal-dual LP algorithm      468
Primal-dual QP algorithm      523
PrimalAffineLP function      455
PrimalAffineLP function, options      455
PrimalAffineQP function      510
PrimalAffineQP function, options      510
PrimalDualLP function      470
PrimalDualLP function, options      470
PrimalDualQP function      524
PrimalDualQP function, options      525
Principal minors      85
PrincipalMinors function      110
Procedure for graphical solution      48
Projection matrix      448
Pshenichnyj, B.N.      629 707
Purchase versus rent example      24
Purification procedure      453
Puthenpura, S.      481 706
Quadratic form      106
Quadratic form, differentiation of      107
Quadratic form, matrix form of      107
Quadratic form, sign of      108
Quadratic interpolation      246
Quadratic Programming (QP)      15 495
QuadraticForm function      110
QuadraticSearch function      249
Quasi-Newton methods      288
QuasiNewtonMethod function      289
QuasiNewtonMethod function, options      289
Range space      481
Range space projection matrix      484
Rank function      87
Rank of a matrix      86
Rao, S.S.      31 707
Rardin, R.L.      31 420 707
Rectangular matrix      76
Reeves, C.R.      303 707
Refined sequential quadratic programming      645
Regularity condition      149
Revised simplex algorithm      390
Revised simplex method      387
RevisedSimplex function      393
RevisedSimplex function, options      393
Row exchanges      322
RSQP function      647
RSQP function, options      647
Salvage value      24 29
Santosa, F.N.      645 647 705
Scales, L.E.      581 707
Scaling objective function      137
Scaling optimization variables      585
Scaling transformation for LP      446
Scaling transformation for QP      564 567
Schechter, R.S.      131 705
Schnabel, R.B.      302 706
Search methods      302
Section search      240
SectionSearch function      241
Sensitivity analysis in NLP      175
Sensitivity analysis, using revised simplex      402
SensitivityAnalysis option of the BasicSimplex function      385
SensitivityAnalysis option of the RevisedSimplex function      406
Sequential linear programming      614
Sequential quadratic programming      620
SERIES function      90
sfdf function      23
Shapiro, J.F.      581 707
Shaw, W.T.      704
Sherali, H.D.      199 420 705
Shetty, C.M.      199 420 705
Shittkowski, K.      302 707
Shor, N.Z.      131 707
Shortest route problem      359
Sign of a quadratic form, eigenvalue test      109
Sign of a quadratic form, principal minors test      109
Simplex method      17 340
Simplex method, matrix form of      387
Simplex method, unusual situations      365
Simplex tableau      344
Single payment compound amount factor (spcaf)      19
Single payment present worth factor (sppwf)      19
Sinking fund deposit factor (sfdf)      21
Slack variables      591
Slack variables, elimination of      592
SLP algorithm      614
SLP function      615
SLP function, options      615
Sofer, A.      199 420 707
Solution of nonlinear equations      100
Solving equations      608
spcaf function      23
sppwf function      23
SQP algorithm      631
SQP function      632
SQP function, options      632
SQP method      581
SQP, refinements to      645
Square matrix      76
Standard form of an optimization problem      13
Standard LP problem      316
Stark, R.M.      31 708
Starkey, C.V.      31 708
Starting feasible solution      340 537
Stationary point      133
Status of constraints      377
Steepest descent method      254
SteepestDescent function      254
SteepestDescent function, options      254
Step length      506 521 537
Step length calculations      231
Steven, G.P.      303 708
Stock cutting example      397
Sufficient conditions for NLP      187
Sufficient conditions for unconstrained problems      133
Suh, N.P.      31 708
Sullivan, F.E.      131 707
Sullivan, W.G.      18 706
Surfaces      96
Switching conditions      151 552
Symmetric matrix      76
Tangent plane      97
TaylorSeriesApprox function      89
Thapa, M.N.      420 705
Tigg, J      704
Time value of money      18
Tire manufacturing plant, PrimalDualLP solution      477
Tire manufacturing plant, problem formulation      5
Tire manufacturing plant, RevisedSimplex solution      415
Transpose of a matrix      76
Tretkoff, C      131 707
Uhl, J.J., Jr.      131 707
Unbounded solution      366
Unconstrained minimization techniques      15 253
UnconstrainedOptimality function      137
UnconstrainedOptimality function, options      137
Uniform series compound amount factor (uscaf)      20
Uniform series present worth factor (uspwf)      21
Unrestricted variables      318
Updating Lagrange multipliers      595 647
uscaf function      23
uspwf function      23
Vector      76
Vector norm      79
Vertex optimum for LP      453
Wagner, D.B.      704
Water treatment facilities      26
Watts, D.G.      13 705
Web page for LP software      420
Weighted sum of functions      14
Wickham-Jones, T.      704
Wicks, E.M.      18 706
Wilde, D.J.      31 707
Wolfram, S.      704
Wright, M.H.      581 585 706
Xie, Y.M.      303 708
Zigzagging in steepest descent method      259
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