Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A gradient descent akin method for inequality constrained optimization   We propose a first-order method for solving inequality constrained
optimization problems. The method is derived from our previous work [12], a
modified search direction method (MSDM) that applies the singular-value
decomposition of normalized gradients. In this work, we simplify its
computational framework to a "gradient descent akin" method, i.e., the search
direction is computed using a linear combination of the negative and normalized
objective and constraint gradient. The main focus of this work is to provide a
mathematical aspect to the method. We analyze the global behavior and
convergence of the method using a dynamical systems approach. We then prove
that the resulting trajectories find local solutions by asymptotically
converging to the central path(s) for the logarithmic barrier interior-point
method under the so-called relative convex condition. Numerical examples are
reported, which include both common test examples and applications in shape
optimization.

37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom