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Partitioned Variable Metric Updates for Large Structured Optimization Problems
Partitioned Variable Metric Updates for Large Structured Optimization Problems,A. Griewank,Ph. L. Toint
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Partitioned Variable Metric Updates for Large Structured Optimization Problems
(
Citations: 23
)
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A. Griewank
,
Ph. L. Toint
Published in 1982.
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Citation Context
(2)
...This is the approach used by Griewank and Toint in [
16
]...
Kristján Jónasson
,
et al.
Corrected sequential linear programming for sparse minimax optimizatio...
...The difficulties of the resulting singular updating problem have been discussed in [
6
] and it was found, both theoretically and in numerical experiments, that the DFP formula may blow up or lead to slow convergence...
...where we again dropped the superscripts k. As done in [
6
], one can easily see that...
...Thus, we see that, if the need arises to update B, then all formulae in the convex class are well defined and it was shown in [
6
] that the resulting B § is also positive semidefinite with nullspace N...
...The numerical results reported in [
6
] are encouraging and further computational experience suggests that the algorithm described above has also good global convergence properties if the BFGS formula is used throughout...
...Neither modification is very pleasing theoretically, because both destroy the restricted transformation invariance of the unmodified scheme discussed in [
6
]...
A. Griewank
,
et al.
Local convergence analysis for partitioned quasiNewton updates
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Citations
(23)
Recognizing underlying sparsity in optimization
(
Citations: 8
)
Sunyoung Kim
,
Masakazu Kojima
,
Philippe L. Toint
Journal:
Mathematical Programming
, vol. 119, no. 2, pp. 273303, 2009
Numerical methods for largescale nonlinear optimization
(
Citations: 25
)
Nicholas I. M. Gould
,
Dominique Orban
,
Philippe L. Toint
Journal:
Acta Numerica
, vol. 14, pp. 299361, 2005
Optimizing partially separable functions without derivatives
(
Citations: 12
)
Benoît Colson
,
Philippe L. Toint
Journal:
Optimization Methods & Software  OPTIM METHOD SOFTW
, vol. 20, no. 45, pp. 493508, 2005
NONLINEAR MODEL PREDICTIVE CONTROL VIA FEASIBILITYPERTURBED SEQUENTIAL QUADRATIC PROGRAMMING
(
Citations: 13
)
MATTHEW J. TENNY
,
STEPHEN J. WRIGHT
,
JAMES B. RAWLINGS
Published in 2002.
On superlinear multipler update methods for partial augmented Lagrangian techniques
(
Citations: 2
)
E. Mijangos
Published in 2002.