Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Iterative Method for Nonconvex Quadratically Constrained Quadratic
  Programs   This paper examines the nonconvex quadratically constrained quadratic
programming (QCQP) problems using an iterative method. One of the existing
approaches for solving nonconvex QCQP problems relaxes the rank one constraint
on the unknown matrix into semidefinite constraint to obtain the bound on the
optimal value without finding the exact solution. By reconsidering the rank one
matrix, an iterative rank minimization (IRM) method is proposed to gradually
approach the rank one constraint. Each iteration of IRM is formulated as a
convex problem with semidefinite constraints. An augmented Lagrangian method,
named extended Uzawa algorithm, is developed to solve the subproblem at each
iteration of IRM for improved scalability and computational efficiency.
Simulation examples are presented using the proposed method and comparative
results obtained from the other methods are provided and discussed.

29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio