[1]
|
D. Aaid, A. Noui and M. Ouanes, New technique for solving univariate global optimization, Archivum Mathematicum, 53 (2017), 19-33.
|
[2]
|
C. S. Adjiman, I. P. Androulakis and C. A. Floudas, A global optimization method, $\alpha$bb, for general twice-differentiable constrained nlpsii. implementation and computational results, Computers & Chemical Engineering, 22 (1998), 1159-1179.
|
[3]
|
X.-D. Chen and W. Ma, A planar quadratic clipping method for computing a root of a polynomial in an interval, Computers & Graphics, 46 (2015), 89-98.
|
[4]
|
X.-D. Chen and W. Ma, Rational cubic clipping with linear complexity for computing roots of polynomials, Applied Mathematics and Computation, 273 (2016), 1051-1058.
doi: 10.1016/j.amc.2015.10.054.
|
[5]
|
X.-D. Chen, W. Ma and Y. Ye, A rational cubic clipping method for computing real roots of a polynomial, Computer Aided Geometric Design, 38 (2015), 40-50.
doi: 10.1016/j.cagd.2015.08.002.
|
[6]
|
C. De Boor, Applied mathematical sciences, in A Practical Guide To Splines, Vol. 27, (1978), Spriger-Verlag.
|
[7]
|
A. Djamel, N. Amel, Z. Ahmed, O. Mohand and L. T. H. An, A quadratic branch and bound with alienor method for global optimization, in XII Global Optimization Workshop, (2014), 41–44.
|
[8]
|
A. Djamel, N. Amel and O. Mohand, A piecewise quadratic underestimation for global optimization, in The Abstract Book, (2013), 138.
|
[9]
|
P. Jiang, X. Wu and Z. Liu, Polynomials root-finding using a slefe-based clipping method, Communications in Mathematics and Statistics, 4 (2016), 311-322.
doi: 10.1007/s40304-016-0086-1.
|
[10]
|
H. A. Le Thi and M. Ouanes, Convex quadratic underestimation and branch and bound for univariate global optimization with one nonconvex constraint, Rairo-Operations Research, 40 (2006), 285-302.
doi: 10.1051/ro:2006024.
|
[11]
|
H. A. Le Thi, M. Ouanes and A. Zidna, An adapted branch and bound algorithm for approximating real root of a ploynomial, in International Conference on Modelling, Computation and Optimization in Information Systems and Management Sciences, Springer, (2008), 182–189.
|
[12]
|
H. A. Le Thi, M. Ouanes and A. Zidna, Computing real zeros of a polynomial by branch and bound and branch and reduce algorithms, Yugoslav Journal of Operations Research, 24.
doi: 10.2298/YJOR120620004L.
|
[13]
|
M. Ouanes, H. A. Le Thi, T. P. Nguyen and A. Zidna, New quadratic lower bound for multivariate functions in global optimization, Mathematics and Computers in Simulation, 109 (2015), 197-211.
doi: 10.1016/j.matcom.2014.04.013.
|
[14]
|
A. Shpak, Global optimization in one-dimensional case using analytically defined derivatives of objective function, The Computer Science Journal of Moldova, 3 (1995), 168-184.
|