Separable Overdetermined Nonlinear Systems - Lukeman, Greg
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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.

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Produktbeschreibung
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.
Autorenporträt
Greg completed his Masters Degree in Applied Mathematics at
Dalhousie
University in Halifax, Nova Scotia, Canada. He is currently the
Chief Technology Officer
of ACEnet, a Canadian High Performance Computing consortium. He
lives in beautiful
Antigonish, Nova Scotia with his wife and three children.