Ph. Guillaume and M. Masmoudi, Computation of High Order Derivatives in Optimal Shape Design, Numerische Mathematik 67 (1994), 231-250. Home/Search Document Details and Download
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International Linear Algebra Year 1995--1996 CERFACS.. - Also Available (Correct)
....progressively larger number of null space constraint. For relatively small subproblems the null space bases can be computed by ILAY Workshop on Linear Algebra in Optimization April 4 using QR. For some large problems, the block linearly feasible method proved successful. The methods of Sorensen [3] and Wolkowicz [4] are also promising candidates. The talk will present some numerical results. References [1] Natalia Alexandrov and J. Dennis: Multilevel Algorithms for Nonlinear Optimization, in: J. Borggaard et al. Eds. Optimal Design and Control; Birkhuser, Boston, 1995, 1 22. 2] ....
....Multilevel Algorithms for Nonlinear Optimization, in: J. Borggaard et al. Eds. Optimal Design and Control; Birkhuser, Boston, 1995, 1 22. 2] Jaroslaw Sobieszczanski Sobieski: Aircraft optimization by a system approach: Achievements and trends, TR 107622, NASA Langley Research Center, 1992. [3] Sandra Santos and Danny Sorensen: A New Matrix Free Algorithm for the LargeScale Trust Region Subproblem, CAAM TR95 20, Department of Computational and Applied Mathematics, Rice University, June 1995. 4] Henry Wolkowicz, University of Waterloo: Communication to the author, 1995. Time: Wednesday ....
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Ph. Guillaume and M. Masmoudi, Computation of high order derivatives in optimal shape design, Numerische Mathematik, 67 (1994), pp 231-250.
A New Class of Multivariate Padé Approximants - Guillaume Self-citation (Guillaume) (Correct)
....degrees with respect to x and y in the approximant, thus we can very well approximate a function with an asymmetric set of singularity. This often happens in applications where the variables x and y are of different nature, e.g. x is a frequency and y is a shape parameter in electromagnetic [15], 16] ffl this method extends very naturally to n variables: substitute (y 1 ; Delta Delta Delta ; y n Gamma1 ) for y in the preceding algorithm, and apply it recursively. The programming itself is easy in languages like Pascal, C or Fortran. The outline of this paper is as follows. In ....
Ph. Guillaume and M. Masmoudi, Computation of High Order Derivatives in Optimal Shape Design, Numerische Mathematik 67 (1994), 231-250.
A New Global Optimization Algorithm - Masmoudi, Massat (1996) Self-citation (Masmoudi) (Correct)
....example, but, on the other hand, we have the value of these derivatives in a given point. Theoretical research has proved that : the derivative evaluation is inexpensive [10] 15] in the linear case, the derivatives of a function can be calculated with the same precision than the function [6]. These results have induced M. Masmoudi and Ph. Guillaume to introduce the higher order derivative method [5] which permits to obtain an explicit representation of the cost function by its Taylor s expansion. 5.2 Higher Order Derivative Method in the Linear Case. Let A(u) Y (u) B(u) 5.1) a ....
Ph. Guillaume and M. Masmoudi, Computation of high order derivatives in optimal shape design, Numerische Mathematik, 67 (1994), pp. 231--250.
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