Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new algorithm for complex non orthogonal joint diagonalization based
  on Shear and Givens rotations   This paper introduces a new algorithm to approximate non orthogonal joint
diagonalization (NOJD) of a set of complex matrices. This algorithm is based on
the Frobenius norm formulation of the JD problem and takes advantage from
combining Givens and Shear rotations to attempt the approximate joint
diagonalization (JD). It represents a non trivial generalization of the JDi
(Joint Diagonalization) algorithm (Souloumiac 2009) to the complex case. The
JDi is first slightly modified then generalized to the CJDi (i.e. Complex JDi)
using complex to real matrix transformation. Also, since several methods exist
already in the literature, we propose herein a brief overview of existing NOJD
algorithms then we provide an extensive comparative study to illustrate the
effectiveness and stability of the CJDi w.r.t. various system parameters and
application contexts.

17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an