The efficiency and effectiveness of most optimization algorithms hinges on the numerical linear algebra algorithms that they utilize. Effective linear algebra is crucial to their success, and because of this, optimization applications have motivated fundamental advances in numerical linear algebra. This essay will highlight contributions of numerical linear algebra to optimization, as well as some optimization problems encountered within linear algebra that contribute to a symbiotic relationship. Also cross-referenced as UMIACS-TR-99-3
In this paper, we explain the relations between combinatorial optimization and real algebraic geomet...
As advanced undergraduate and graduate students begin conducting research, they must base their work...
DoctoralThis is a one hour class on the basics of numerical optimization for scientists who tune mod...
AbstractThe efficiency and effectiveness of most optimization algorithms hinges on the numerical lin...
Emphasizing practical understanding over the technicalities of specific algorithms, this elegant tex...
Parallel computing research in the area of nonlinear optimization has been extremely intense during ...
Most of these notes were written while serving as a teaching assistant for the Introduction to Numer...
The computational aspects of the simplex algorithm are investigated, and high performance computing ...
We are providing a concise introduction to some methods for solving non-linear optimization problems...
Optimization is the process of maximizing or minimizing the objective function which satisfies the g...
The purpose of this paper was to provide a review of the theory of Optimization, in particular non-l...
Our work under this support broadly falls into five categories: automatic differentiation, sparsity,...
We provide a concise introduction to some methods for solving nonlinear optimization problems. This ...
The following is a review of some basic definitions, notations and relations from linear algebra, ge...
The purpose of optimization is to maximize the quality of lives, productivity in time, as well as in...
In this paper, we explain the relations between combinatorial optimization and real algebraic geomet...
As advanced undergraduate and graduate students begin conducting research, they must base their work...
DoctoralThis is a one hour class on the basics of numerical optimization for scientists who tune mod...
AbstractThe efficiency and effectiveness of most optimization algorithms hinges on the numerical lin...
Emphasizing practical understanding over the technicalities of specific algorithms, this elegant tex...
Parallel computing research in the area of nonlinear optimization has been extremely intense during ...
Most of these notes were written while serving as a teaching assistant for the Introduction to Numer...
The computational aspects of the simplex algorithm are investigated, and high performance computing ...
We are providing a concise introduction to some methods for solving non-linear optimization problems...
Optimization is the process of maximizing or minimizing the objective function which satisfies the g...
The purpose of this paper was to provide a review of the theory of Optimization, in particular non-l...
Our work under this support broadly falls into five categories: automatic differentiation, sparsity,...
We provide a concise introduction to some methods for solving nonlinear optimization problems. This ...
The following is a review of some basic definitions, notations and relations from linear algebra, ge...
The purpose of optimization is to maximize the quality of lives, productivity in time, as well as in...
In this paper, we explain the relations between combinatorial optimization and real algebraic geomet...
As advanced undergraduate and graduate students begin conducting research, they must base their work...
DoctoralThis is a one hour class on the basics of numerical optimization for scientists who tune mod...