Convexity of Nonlinear Image of a Small Ball with Applications to Optimization

By Boris Polyak. 2001

53 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/b8186056b04f30a39e713f114085095c198c0356

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

1. Jos F. Sturm
2. Shuzhong Zhang
3. Boris Polyak

In Computational Theory and Mathematics

1. Jos F. Sturm
2. Shuzhong Zhang
3. Boris Polyak
4. Ya-Xiang Yuan
5. Jason D. Lee
6. Aurélien Lucchi
7. Anima Anandkumar
8. Coralia Cartis

In Control and Systems Engineering

1. Jos F. Sturm
2. Shuzhong Zhang
3. Boris Polyak

Citations in the corpus

• On Cones of Nonnegative Quadratic Functions (2003, background): “Range convexity of general nonlinear maps where x runs over a small ball in n has recently been proved by Polyak [17].”
• A Survey of the S-Lemma (2007, unknown): “10 (Polyak [64]).”
• Newton-Kantorovich Method and Its Global Convergence (2006, methodology): “This theorem has numerous applications in optimization [37], linear algebra [38], optimal control [39].”