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Understanding local and global maximum and minimum
Understanding local and global maximum and minimum
ORF523_Lec3.pdfLocal versus global minima/
Local versus global minima/
Unconstrained optimization/
Unconstrained optimization/
Optimality conditions
Optimality conditions
The problem of Local Optima
The problem of Local Optima
ORF523_Lec7.pdfConvex functions
Convex functions
AppendixA1-A4 (1).pdfA.1-A.4
A.1-A.4
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Discussion (1).pdfQuestion Sheet 1
Question Sheet 1
Work as a group, discuss each question with your groupmates.
Q92_supplemental__Discussion1 (2).pdfQ92 clarifications
Q92 clarifications
This is an explination and the proof of Q92 in the Question Sheet 1.
Convex_function_justify (4).pdfConvex function justification
Convex function justification
Supplement-TaylorSeriesExpansion.pdfSupplement- Taylor series Expansion
Supplement- Taylor series Expansion
L4_slides.pdfGradient Methods
Gradient Methods
Demo_AMPL.pdfAMPL
AMPL
BOOK.pdfAMPL BOOK
AMPL BOOK
AppendixB1.pdfB1
B1
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nlp_discussio (7) (1).pdfQuestion Sheet 2
Question Sheet 2
Work as a group, discuss each question with your groupmates.
Proofs
An intro to Mathematical theorems
An intro to Mathematical theorems
What is a Theorem, Corollary, Conjecture, Lemma, Proposition, Axiom
What is a Theorem, Corollary, Conjecture, Lemma, Proposition, Axiom
A5-A6.pdfA.5-A.6
A.5-A.6
Proof_ConvergenceResults.pdfProof example: 1.2.1
Proof example: 1.2.1
Proof_ConvergenceRateResults.pdfProof example: 1.3.1
Proof example: 1.3.1
art of reading proofs
art of reading proofs
L6_slides.pdfnewton methods & issues of global convergence
newton methods & issues of global convergence
L7_slides.pdfConjugate direction method and quasi newton method
Conjugate direction method and quasi newton method
Lecture_ConstrainedNLP.pdfOptimality conditions for constrained NLP
Optimality conditions for constrained NLP
text-necessaryCondition.pdfnecessary condition :application
necessary condition :application
Slides1.pdfhighlight:
highlight:
the KKT condition
the KKT condition
L10_slides.pdfLagrange Multiplier
Lagrange Multiplier
karushThesis.pdfKKT origin
KKT origin
LargeKKTExample-new.pdfKKT example: original edition
KKT example: original edition
IMP_slides.pdfBarrier methods
Barrier methods
IPM
IPM
SQP_slides.pdfSQP method
SQP method
An interior Point algo for large scale NLP_Byrd, Hribar, Nocedal.pdfA paper in the optimization algorithm
A paper in the optimization algorithm
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