Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computation of matrix gamma function   Matrix functions with potential applications have a major role in science and
engineering. One of the fundamental matrix functions, which is particularly
important due to its connections with certain matrix differential equations and
other special matrix functions, is the matrix gamma function. This research
article is focused on the numerical computation of this function. Well-known
techniques for the scalar gamma function, such as Lanczos and Spouge methods,
are carefully extended to the matrix case. This extension raises many
challenging issues and several strategies used in the computation of matrix
functions, like Schur decomposition and block Parlett recurrences, need to be
incorporated to turn the methods more effective. We also propose a third
technique based on the reciprocal gamma function that is shown to be
competitive with the other two methods in terms of accuracy, with the advantage
of being rich in matrix multiplications. Strengths and weaknesses of the
proposed methods are illustrated with a set of numerical examples. Bounds for
truncation errors and other bounds related with the matrix gamma function will
be discussed as well.

28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin