Geometric Technicalities

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Geometric Technicalities

This section is a brief explanation of the geometric concepts used to produce the methods employed by sg_min and its subroutines. This information is mostly a recapitulation of material readily available in the differential geometry literature.

Subsections

Manifolds
The Difference Between a Tangent and a Differential
Inner Products, Gradients, and Differentials
Getting Around $\mbox{Stief}(n,k)$
Covariant Differentiation
Inverting the Covariant Hessian (Technical Considerations)

Susan Blackford 2000-11-20