Publication

PAPERS:

[1] K. Amini, “Solving rank one revised linear systems by the scaled ABS method ”, ANZIAM Journal, Volume 46, part 2, (2004).

[2] K. Amini, N. Mahdavi-Amiri and M. R. Peyghami “ABS-type methods for solving full row rank linear systems using a new rank two update”, Bulletin of the Australian Mathematical Society,Volume 70, (2004), 17-34.

[3] K. Amini, M. R. Peyghami, “An Interior-Point Methods for Linear Programming Based on a Class of Kernel Functions”, Bulletin of the Australian Mathematical Society,Volume 71, (2005), 139-153.

[4] K. Amini, M. R. Peyghami, “An Interior-Point Algorithm for Linear Optimization Based on a New Kernel Function", Southeast Asian Bulletin of Mathematics 32, 2005, 1-18.

[5] K. Amini, M. R. Peyghami “Complexity analysis of interior-point methods for linear optimization based on some conditions on kernel function”, Applied Mathematics and Computation, Volume 176 (2006), 194-207.

[6] K. Amini and N. Mahdavi-Amiri, “Solving rank one perturbed linear Diophantine systems by the ABS methods”, Accepted to appear Optimization Methods and Software,Volume 21, (2006), 819-831.

[7] K. Amini, N. Mahdavi-Amiri and M. R. Peyghami, “Extended reduced rank two Abaffian update schemes in the ABS-type methods” , Applied Mathematics and Computation, Volume (2007),

[8] K. Amini, Arash haseli, ”A new proximity function generating the best known iteration bounds for both large-update and small update interior point methods” , ANZIAM Journal, Volume 49, (2007).

[9] K. Amini, M. R. Peyghami, “Exploring Complexity of Large Update Interior-Point Methods for Linear Complementarity Problems Based on Kernel Function”, Submitted.

Papers in Conferences

"solving rank one revised linear systems by the Scaled ABS methods“ ,34- th Annual Iranian Mathematics Conference, shahrood University, Shahrood, Iran, August 2003. (Joint work with N. Mahdavi-Amiri)
ABS-type Methods for Solving Full Row Rank Linear Systems Using a New Rank Two Update, 34- Annual Iranian Mathematics Conference, shahrood University, Shahrood, Iran, August 2003. (Joint work with K. Amini and N. Mahdavi-Amiri)
Extended Reduced Abaffian Rank Two Update Schemes in the ABS Methods, The Mathematics of Information Technology and Complex Systems (MITACS), Halifax, Nova Scotia, Canada, June 2004. (Joint work with K. Amini and N. Mahdavi-Amiri)

P.HD Thesis

An Efficient Algorithm for Solving Real or Diophantine Linear System after a Rank One Perturbation and Two Effective Algorithms for Solving Linear Systems by Use of Rank Two Updates , (2004) M.Sc. Thesis, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran.

M.SC Thesis

A active set algorithm for semi-positive definite Sequential programming, (1998) M.Sc. Thesis, Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran.