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SNOPT: An SQP Algorithm For LargeScale Constrained Optimization
, 2002
"... Sequential quadratic programming (SQP) methods have proved highly effective for solving constrained optimization problems with smooth nonlinear functions in the objective and constraints. Here we consider problems with general inequality constraints (linear and nonlinear). We assume that first deriv ..."
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Cited by 597 (24 self)
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Sequential quadratic programming (SQP) methods have proved highly effective for solving constrained optimization problems with smooth nonlinear functions in the objective and constraints. Here we consider problems with general inequality constraints (linear and nonlinear). We assume that first derivatives are available, and that the constraint gradients are sparse. We discuss
A Sqp Method For General Nonlinear Programs Using Only Equality Constrained Subproblems
 MATHEMATICAL PROGRAMMING
, 1993
"... In this paper we describe a new version of a sequential equality constrained quadratic programming method for general nonlinear programs with mixed equality and inequality constraints. Compared with an older version [34] it is much simpler to implement and allows any kind of changes of the working s ..."
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Cited by 69 (2 self)
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In this paper we describe a new version of a sequential equality constrained quadratic programming method for general nonlinear programs with mixed equality and inequality constraints. Compared with an older version [34] it is much simpler to implement and allows any kind of changes of the working set in every step. Our method relies on a strong regularity condition. As far as it is applicable the new approach is superior to conventional SQPmethods, as demonstrated by extensive numerical tests.
the Partners of the Americas.
"... TO PRINT THE ENTIRE PAPER: Depending on the viewer you use, you may or may not be able to see more than this cover page. However, if you save the ps file or print it out you will obtain the entire paper: this cover page followed by 51 more pages. Erratum: In equation (5.3) (statement of Proposition ..."
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TO PRINT THE ENTIRE PAPER: Depending on the viewer you use, you may or may not be able to see more than this cover page. However, if you save the ps file or print it out you will obtain the entire paper: this cover page followed by 51 more pages. Erratum: In equation (5.3) (statement of Proposition 5.1) as well as in the last displayed equation in the proof of Proposition 5.1 (expression for λ0 −1 k), MkBk should be B −1 k Mk. (This error is present both in the published version and in this ps file: technical difficulties prevented us from generating a corrected ps file; we apologize.)