On the Lagrange functions of quadratic models that are defined by interpolation*

By M. Powell. 2001

50 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/458b05f0945a407ee43f7be16958e3580616beaf

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Luís Nunes Vicente
2. Katya Scheinberg
3. Andrew R. Conn
4. Ya-Xiang Yuan
5. Christine Annette Shoemaker
6. Rommel G. Regis
7. Gleb Beliakov
8. Tomasa Calvo

In Numerical Analysis

1. Luís Nunes Vicente
2. Katya Scheinberg
3. Andrew R. Conn
4. M. Powell
5. Nikolaos V. Sahinidis
6. Ya-Xiang Yuan
7. Louis J. Durlofsky
8. Rommel G. Regis

In Statistical and Nonlinear Physics

1. Andrew R. Conn
2. Katya Scheinberg
3. Luís Nunes Vicente

Citations in the corpus

• The NEWUOA software for unconstrained optimization without derivatives (2006, methodology): “Further discussion of the efficiency of the updating technique can be found in Powell (2004b). The first discovery of this kind, made in January 2002, is mentioned in Powell (2003). Specifically, by employing the least Frobenius norm updating method, an unconstrained minimization problem with 160 va”
• Geometry of sample sets in derivative-free optimization: polynomial regression and underdetermined interpolation (2008, methodology): “See [15] for a simple derivation of this bound.”
• UOBYQA: unconstrained optimization by quadratic approximation (2002, background): “Moreover, the equations (10) are equivalent to the system ( GQ T + θI ) ( d) = − hQ, (11)”