Separable Overdetermined Nonlinear Systems

The motivation for this work is the desire to
e ciently solve systems of
nonlinear equations that have both linear and
nonlinear variables. This
type of system is sometimes referred to as a
separable system of
nonlinear equations. In this work, the Shen-Ypma
algorithm is
extended to overdetermined separable systems,
establishing the
connection with the Golub-Pereyra variable projection
method. A new
FORTRAN implementation of the method is provided and
early
developments in the field are surveyed.

Autorentext

Greg completed his Masters Degree in Applied Mathematics atDalhousie University in Halifax, Nova Scotia, Canada. He is currently theChief Technology Officer of ACEnet, a Canadian High Performance Computing consortium. Helives in beautiful Antigonish, Nova Scotia with his wife and three children.

Klappentext

The motivation for this work is the desire toe ciently solve systems of nonlinear equations that have both linear andnonlinear variables. This type of system is sometimes referred to as aseparable system of nonlinear equations. In this work, the Shen-Ypmaalgorithm is extended to overdetermined separable systems,establishing theconnection with the Golub-Pereyra variable projectionmethod. A new FORTRAN implementation of the method is provided andearly developments in the field are surveyed.