ISSN:
1573-2878
Keywords:
High-order methods
;
factorable functions
;
Halley's method
;
method of tangent hyperbolas
;
Nth derivatives
;
polyads
;
tensors
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Factorable functions are shown to have arrays ofNth-order derivatives (tensors) which are naturally computed as sums of generalized outer product matrices (polyads). The computational implications of this for high-order minimization techniques (such as Halley's method of tangent hyperbolas) are investigated. A direct derivation of these high-order techniques is also given.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00938603
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