TY  - JOUR
AU  - Petrović, Milena
AU  - Valjarević, Dragana
AU  - Ilić, Dejan
AU  - Valjarević, Aleksandar
AU  - Mladenović, Julija
PY  - 2022
UR  - http://gery.gef.bg.ac.rs/handle/123456789/1185
AB  - We propose an improved variant of the accelerated gradient optimization models for solving unconstrained minimization problems. Merging the positive features of either double direction, as well as double step size accelerated gradient models, we define an iterative method of a simpler form which is generally more effective. Performed convergence analysis shows that the defined iterative method is at least linearly convergent for uniformly convex and strictly convex functions. Numerical test results confirm the efficiency of the developed model regarding the CPU time, the number of iterations and the number of function evaluations metrics
PB  - Basel : MDPI
T2  - Mathematics
T1  - An Improved Modification of Accelerated Double Direction and Double Step-Size Optimization Schemes
VL  - 10
IS  - 2
SP  - 259
DO  - 10.3390/math10020259
ER  - 

@article{
author = "Petrović, Milena and Valjarević, Dragana and Ilić, Dejan and Valjarević, Aleksandar and Mladenović, Julija",
year = "2022",
abstract = "We propose an improved variant of the accelerated gradient optimization models for solving unconstrained minimization problems. Merging the positive features of either double direction, as well as double step size accelerated gradient models, we define an iterative method of a simpler form which is generally more effective. Performed convergence analysis shows that the defined iterative method is at least linearly convergent for uniformly convex and strictly convex functions. Numerical test results confirm the efficiency of the developed model regarding the CPU time, the number of iterations and the number of function evaluations metrics",
publisher = "Basel : MDPI",
journal = "Mathematics",
title = "An Improved Modification of Accelerated Double Direction and Double Step-Size Optimization Schemes",
volume = "10",
number = "2",
pages = "259",
doi = "10.3390/math10020259"
}

Petrović, M., Valjarević, D., Ilić, D., Valjarević, A.,& Mladenović, J.. (2022). An Improved Modification of Accelerated Double Direction and Double Step-Size Optimization Schemes. in Mathematics
Basel : MDPI., 10(2), 259.
https://doi.org/10.3390/math10020259

Petrović M, Valjarević D, Ilić D, Valjarević A, Mladenović J. An Improved Modification of Accelerated Double Direction and Double Step-Size Optimization Schemes. in Mathematics. 2022;10(2):259.
doi:10.3390/math10020259 .

Petrović, Milena, Valjarević, Dragana, Ilić, Dejan, Valjarević, Aleksandar, Mladenović, Julija, "An Improved Modification of Accelerated Double Direction and Double Step-Size Optimization Schemes" in Mathematics, 10, no. 2 (2022):259,
https://doi.org/10.3390/math10020259 . .