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Contents

• 1  Introduction
  • 1.1  Overview
  • 1.2  Contents of this Manual
  • 1.3  Prerequisites
• 2  Using the Solvers
• 3  QPOPT details
  • 3.1  Introduction
    • 3.1.1  Overview
    • 3.1.2  The working set
    • 3.1.3  The reduced Hessian
    • 3.1.4  Optimality conditions
  • 3.2  Further Details of the Method
    • 3.2.1  Treatment of simple upper and lower bounds
    • 3.2.2  The initial working set
    • 3.2.3  The anti-cycling procedure
  • 3.3  The Options File
    • 3.3.1  Format of option strings
  • 3.4  Description of the optional parameters
  • 3.5  Optional parameter checklist and default values
  • 3.6  The Summary File
    • 3.6.1  Constraint numbering and status
    • 3.6.2  The iteration log
    • 3.6.3  Summary file from the example problem
  • 3.7  The Print File
    • 3.7.1  Constraint numbering and status
    • 3.7.2  The iteration log
    • 3.7.3  Printing the solution
    • 3.7.4  Interpreting the printout
• 4  MINOS details
  • 4.1  Introduction
    • 4.1.1  Linear Programming
    • 4.1.2  Problems with a Nonlinear Objective
    • 4.1.3  Problems with Nonlinear Constraints
    • 4.1.4  Problem Formulation
    • 4.1.5  Restrictions
  • 4.2  Solver Options
    • 4.2.1  Options for Linear Programming
    • 4.2.2  Options for All Problems
    • 4.2.3  Options for Nonlinear Objectives
    • 4.2.4  Options for All Nonlinear problems
    • 4.2.5  Options for Nonlinear Constraints
    • 4.2.6  Options for Input and Output
  • 4.3  File Output
    • 4.3.1  The PRINT file
    • 4.3.2  The major iteration log
    • 4.3.3  The minor iteration log
    • 4.3.4  Crash statistics
    • 4.3.5  Basis factorization statistics
    • 4.3.6  EXIT conditions
    • 4.3.7  Solution output
    • 4.3.8  The SUMMARY file
• 5  SQOPT details
  • 5.1  Introduction
  • 5.2  Brief description of the method
    • 5.2.1  Formulation of the problem
    • 5.2.2  The main iteration
  • 5.3  The SPECS file
    • 5.3.1  SPECS File Checklist and Defaults
    • 5.3.2  Description of the optional parameters
  • 5.4  File Output
    • 5.4.1  The iteration Log
    • 5.4.2  Basis Factorization Statistics
    • 5.4.3  Crash statistics
    • 5.4.4  EXIT conditions
  • 5.5  Solution Output
    • 5.5.1  The SUMMARY file
  • 5.6  Algorithmic Details
    • 5.6.1  Overview
    • 5.6.2  Definition of the working set
    • 5.6.3  The main iteration
    • 5.6.4  Miscellaneous
• 6  SNOPT details
  • 6.1  Introduction
    • 6.1.1  Problem types
  • 6.2  Description of the SQP method
    • 6.2.1  Constraints and slack variables
    • 6.2.2  Major iterations
    • 6.2.3  Minor iterations
    • 6.2.4  The merit function
    • 6.2.5  Treatment of constraint infeasibilities
  • 6.3  Optional parameters
    • 6.3.1  The SPECS file
    • 6.3.2  SPECS file checklist and defaults
    • 6.3.3  Description of the optional parameters
  • 6.4  File Output
    • 6.4.1  The PRINT file
    • 6.4.2  The major iteration log
    • 6.4.3  The minor iteration log
    • 6.4.4  Basis factorization statistics
    • 6.4.5  Crash statistics
    • 6.4.6  EXIT conditions
    • 6.4.7  Solution output
    • 6.4.8  The SUMMARY file

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