Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A semi-analytical approach for the positive semidefinite Procrustes
  problem   The positive semidefinite Procrustes (PSDP) problem is the following: given
rectangular matrices $X$ and $B$, find the symmetric positive semidefinite
matrix $A$ that minimizes the Frobenius norm of $AX-B$. No general procedure is
known that gives an exact solution. In this paper, we present a semi-analytical
approach to solve the PSDP problem. First, we characterize completely the set
of optimal solutions and identify the cases when the infimum is not attained.
This characterization requires the unique optimal solution of a smaller PSDP
problem where $B$ is square and $X$ is diagonal with positive diagonal
elements. Second, we propose a very efficient strategy to solve the PSDP
problem, combining the semi-analytical approach, a new initialization strategy
and the fast gradient method. We illustrate the effectiveness of the new
approach, which is guaranteed to converge linearly, compared to
state-of-the-art methods.

22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga