Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A matrix-algebraic algorithm for the Riemannian logarithm on the Stiefel
  manifold under the canonical metric   We derive a numerical algorithm for evaluating the Riemannian logarithm on
the Stiefel manifold with respect to the canonical metric. In contrast to the
existing optimization-based approach, we work from a purely matrix-algebraic
perspective. Moreover, we prove that the algorithm converges locally and
exhibits a linear rate of convergence.

31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph