Add to ORKGAbstract. Steepest descent is central in variational mathematics. We present a new transpar-ent existence proof for curves of near-maximal slope — an influential notion of steepest descent in a nonsmooth setting. We moreover show that for semi-algebraic functions — prototypical nonpatho-logical functions in nonsmooth optimization — such curves are precisely the solutions of subgradient dynamical systems
We are interested in the asymptotic behavior of the trajectories of the famous steepest descent evol...
This report generalizes several results on approximations of curves of maximal slope in the book by ...
In this paper, we introduce a new class of nonsmooth pseudo-invex and nonsmooth quasi-invex function...
Structure permeates both theory and practice in modern optimization. To make progress, optimizers of...
Curves of maximal slope are a reference gradient-evolution notion in metric spaces and arise as vari...
The article is dedicated of memory of Professor V. F. Demyanov (1938—2014). The main scientific int...
We present a new result on the asymptotic behavior of non-autonomous subgradient evolution equations...
We prove that a general condition introduced by Colombo and Gobbino to study limits of curves of max...
We study evolution curves of variational type, called minimizing movements, obtained via a time disc...
AbstractAccording to the Morse–Sard theorem, any sufficiently smooth function on a Euclidean space r...
This paper introduces a novel steepest descent flow in Banach spaces. This extends previous works on...
A natural generalization of the classical theory of critical points is the concept of the theory of ...
We prove that a general condition introduced by Colombo and Gobbino to study limits of curves of max...
In this article we consider the problem of finding the solution of a system of differential inequal...
The paper introduces an algorithm to compute steepest descent paths on multivariate piecewise-linear...
We are interested in the asymptotic behavior of the trajectories of the famous steepest descent evol...
This report generalizes several results on approximations of curves of maximal slope in the book by ...
In this paper, we introduce a new class of nonsmooth pseudo-invex and nonsmooth quasi-invex function...
Structure permeates both theory and practice in modern optimization. To make progress, optimizers of...
Curves of maximal slope are a reference gradient-evolution notion in metric spaces and arise as vari...
The article is dedicated of memory of Professor V. F. Demyanov (1938—2014). The main scientific int...
We present a new result on the asymptotic behavior of non-autonomous subgradient evolution equations...
We prove that a general condition introduced by Colombo and Gobbino to study limits of curves of max...
We study evolution curves of variational type, called minimizing movements, obtained via a time disc...
AbstractAccording to the Morse–Sard theorem, any sufficiently smooth function on a Euclidean space r...
This paper introduces a novel steepest descent flow in Banach spaces. This extends previous works on...
A natural generalization of the classical theory of critical points is the concept of the theory of ...
We prove that a general condition introduced by Colombo and Gobbino to study limits of curves of max...
In this article we consider the problem of finding the solution of a system of differential inequal...
The paper introduces an algorithm to compute steepest descent paths on multivariate piecewise-linear...
We are interested in the asymptotic behavior of the trajectories of the famous steepest descent evol...
This report generalizes several results on approximations of curves of maximal slope in the book by ...
In this paper, we introduce a new class of nonsmooth pseudo-invex and nonsmooth quasi-invex function...