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Convergence rate analysis of the gradient descent-ascent method for convex-concave saddle-point problems
Moslem Zamani, Hadi Abbaszadehpeivasti, Etienne de Klerk
In this paper, we study the gradient descent-ascent method for convex-concave saddle-point problems. We derive a new non-asymptotic global convergence rate in terms of distance to…
Conditions for linear convergence of the gradient method for non-convex optimization
Hadi Abbaszadehpeivasti, Etienne de Klerk, Moslem Zamani
In this paper, we derive a new linear convergence rate for the gradient method with fixed step lengths for non-convex smooth optimization problems satisfying the Polyak-Lojasiewicz…
The exact worst-case convergence rate of the gradient method with fixed step lengths for L-smooth functions
Hadi Abbaszadehpeivasti, Etienne de Klerk, Moslem Zamani
In this paper, we study the convergence rate of the gradient (or steepest descent) method with fixed step lengths for finding a stationary point of an -smooth function. We estab…
Error bounds and a condition number for the absolute value equations
Moslem Zamani, Milan Hladic
Absolute value equations, due to their relation to the linear complementarity problem, have been intensively studied recently. In this paper, we present error bounds for absolute v…
Proper efficiency, scalarization and transformation in multi-objective optimization: Unified approaches
Moslem Zamani, Majid Soleimani-damaneh
In this paper, we investigate the relationships between proper efficiency and the solutions of a general scalarization problem in multi-objective optimization. We provide some cond…
New bounds for nonconvex quadratically constrained quadratic programming
Moslem Zamani
In this paper, we study some bounds for nonconvex quadratically constrained quadratic programs. We propose two types of bounds for quadratically constrained quadratic programs, qua…