Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Krylov subspace method for the approximation of bivariate matrix
  functions   Bivariate matrix functions provide a unified framework for various tasks in
numerical linear algebra, including the solution of linear matrix equations and
the application of the Fr\'echet derivative. In this work, we propose a novel
tensorized Krylov subspace method for approximating such bivariate matrix
functions and analyze its convergence. While this method is already known for
some instances, our analysis appears to result in new convergence estimates and
insights for all but one instance, Sylvester matrix equations.

23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci