Newton
1. A. B-I, A
Modified Newton-Raphson Method for the Solution of
Systems of Equations,
2. A. B-I, A
Newton-Raphson Method for the Solution of Systems of
Equations, J. Math. Anal. Appl. 15(1966),
243-252
3. A. B-I, Newton's
Method with Modified Functions, Contemp. Math. 204(1997), 39-50
4. L. Yau and A.
B-I, The Newton and
Halley Methods for Complex Roots, Amer. Math. Monthly 105(1998),
806-818
5. Y. Levin and A. B-I, Directional Newton Methods in n Variables, Math. of Computation 71(2002),
237-250
6. Y. Levin and A. B-I, A Newton Method for Systems of m Equations in n Variables,
Nonlinear Analysis 47 (2001), 1961-1971
7. Y. Levin and A. B-I, Directional Halley and Quasi-Halley Methods in n
Variables, , pp. 345-365 in Inherently Parallel Algorithms in
Feasibility and Optimization and Their Applications (D. Butnariu,
Y. Censor and S. Reich, Editors), Elsevier Science, Amsterdam, 2001.
8. Y. Levin, M. Nediak and A. B-I, Direct Approach
to Calculus of Variations via Newton-Raphson Method,
J. of Comput. & Appl. Math. 139(2001), 197-213
9. Y. Levin and A. B-I, The Newton Bracketing Method for Convex Minimization,
Comput. Optimiz. and Appl. 21(2002), 213-229
10. Y. Levin and A. B-I, An Inverse-Free Directional Newton Method for
Solving Systems of Nonlinear Equations, pp 1447-1457 in Progress
in Analysis, Vol. 2 (H.G.W. Begehr, R.P. Gilbert
and M.-W. Wong, Editors), World Scientific,
11. Y. Levin and A. B-I, A Heuristic Method for Large-Scale Multi-Facility
Location Problems, Computers and Oper. Res. 31(2004), 257-272
12. A. B-I and
Y. Levin, The Newton Bracketing Method
for the Minimization of Convex Functions subject to Affine Constraints,
Discrete Applied Mathematics 156(2008),
1977-1987
13. A. B-I, G.
Levin, Y. Levin and B. Rozin, Approximate Methods for Convex Minimization Problems
with Series-Parallel Structure, European Journal of Operations Research
189(2008), 841-855
14. A. B-I and
Y. Levin, The
Newton Bracketing Method for Convex Minimization: Convergence Analysis,
Chapter 4, pp. 49-63 in Fixed-Point Algorithms for Inverse Problems in
Science and Engineering, (H.H. Bauschke, R.S.
Burachik, P.L. Combettes,
V. Elser, D.R. Luke and H. Wolkowicz,
Editors), Springer, 2011
15. A. B-I, An Inverse
Newton Transform, Contemporary Mathematics 568(2012), 27-40
16. A. B-I, Newton's Method: Universality and Geometry, Lecture at Rutgers University, January 25, 2018
