## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- AIMS Mathematics
- Conference Publications
- Electronic Research Announcements
- Mathematics in Engineering

### Open Access Journals

JIMO

In this paper, we first present a concise representation of
multivariate polynomial, based on which we deduce the calculation
formulae of its derivatives using tensor. Then, we propose a
solution method to determine a global descent direction for the
minimization of general normal polynomial. At a local and non-global
maximizer or saddle point, we could use this method to get a global
descent direction of the objective function. By using the global
descent direction, we can transform an $n$-dimensional optimization
problem into a one-dimensional one. Based on some efficient
algorithms for one dimensional global optimization, we develop an
algorithm to compute the global minimizer of normal multivariate
polynomial. Numerical examples show that the proposed algorithm is
promising.

JIMO

In this paper, a polymorphic uncertain nonlinear programming (PUNP)
model is constructed to formulate the problem of maximizing the
V-belt's fatigue life according to the practical engineering design
conditions. The model is converted into an equivalent interval
programming only involved with interval parameters for any given
degree of membership and confidence level. Then, a deterministic
equivalent formulation (DEF)
for the original model is obtained based on the concept of possibility degree for the order of two interval numbers. An algorithm, called sampling based algorithm, is developed to find a robust optimal design scheme for maximizing the fatigue life of the V-belt.
Case study is employed to demonstrate the validity and the
practicability of the constructed
model and the algorithm.

DCDS-B

In this paper, a new spectral PRP conjugate gradient algorithm is
developed for solving nonconvex unconstrained optimization problems.
The search direction in this algorithm is proved to be a sufficient
descent direction of the objective function independent of line
search. To rule out possible unacceptably short step in the Armijo
line search, a modified Armijo line search strategy is presented.
The obtained step length is improved by employing the properties of
the approximate Wolfe conditions. Under some suitable assumptions,
the global convergence of the developed algorithm is established.
Numerical experiments demonstrate that this algorithm is promising.

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