TY  - JOUR
ID  - iiasa14072
UR  - https://pure.iiasa.ac.at/id/eprint/14072/
IS  - 4
A1  - Gilbert, J.-C.
Y1  - 1989///
N2  - In optimization in Rn with m nonlinear equality constraints, we study the local convergence of reduced quasi-newton methods, in which the updated matrix is of order n?m. Furthermore, we give necessary and sufficient conditions for superlinear convergence (in one step) and we introduce a device to globalize the local algorithm. It consists in determining a step along an arc in order to decrease an exact penalty function and we give conditions so that asymptotically the step-size will be equal to one. © 1989, Taylor & Francis Group, LLC.
PB  - Taylor and Francis Ltd.
JF  - Optimization
VL  - 20
SN  - 0233-1934
TI  - On the local and global convergence of a reduced Quasi-Newton method1
SP  - 421
AV  - none
EP  - 450
ER  -