Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Time-Varying Semidefinite Programming: Geometry of the Trajectory of
  Solutions   In many applications, solutions of convex optimization problems must be
updated on-line, as functions of time. In this paper, we consider time-varying
semidefinite programs (TV-SDP), which are linear optimization problems in the
semidefinite cone whose coefficients (input data) depend on time. We are
interested in the geometry of the solution (output data) trajectory, defined as
the set of solutions depending on time.We propose an exhaustive description of
the geometry of the solution trajectory. As our main result, we show that only
6 distinct behaviors can be observed at a neighborhood of a given point along
the solution trajectory. Each possible behavior is then illustrated by an
example.

13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat