Regina Sandra Burachik is an

Argentine Argentines (mistakenly translated Argentineans in the past; in Spanish (masculine) or (feminine)) are people identified with the country of Argentina. This connection may be residential, legal, historical or cultural. For most Argentines, s ...

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

who works on

optimization Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfi ...

and

analysis Analysis ( : analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (38 ...

(particularly:

convex analysis Convex analysis is the branch of mathematics devoted to the study of properties of convex functions and convex sets, often with applications in convex minimization, a subdomain of optimization theory. Convex sets A subset C \subseteq X of s ...

functional analysis Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. Inner product space#Definition, inner product, Norm (mathematics)#Defini ...

and non-smooth analysis). Currently, she is a professor at the

University of South Australia The University of South Australia (UniSA) is a public research university in the Australian state of South Australia. It is a founding member of the Australian Technology Network of universities, and is the largest university in South Australi ...

. She earned her Ph.D. from the

IMPA is a recurring fictional character in Nintendo's ''The Legend of Zelda'' series. She is one of the oldest and most frequently recurring characters in the series, having appeared in six titles of ''The Legend of Zelda'' games and several spin-off ...

in 1995 under the supervision of Alfredo Noel Iusem (''Generalized Proximal Point Method for the Variational Inequality Problem''). In her thesis, she "introduced and analyzed solution methods for

variational inequalities In mathematics, a variational inequality is an inequality involving a functional, which has to be solved for all possible values of a given variable, belonging usually to a convex set. The mathematical theory of variational inequalities was initi ...

, the latter being a generalization of the convex constrained optimization problem."

Selected publications

Articles

*with A. N. Iusem and B. F. Svaiter. "Enlargement of monotone operators with applications to variational inequalities", ''Set-Valued Analysis'' *with A. N. Iusem. "A generalized proximal point algorithm for the variational inequality problem in a Hilbert space", ''SIAM Journal on Optimization'' *with A. N. Iusem. "Set-valued mappings & enlargements of monotone operators", ''Optimization and its Applications'' *with B. F. Svaiter. "Maximal monotone operators, convex functions and a special family of enlargements", ''Set-Valued Analysis''

Books

*With Iusem: ''Set-Valued Mappings and Enlargements of Monotone Operators'' (2007) *''Variational Analysis and Generalized Differentiation in Optimization and Control'' (2010, as editor)

References

External links

*
Page at the University of South Australia
Argentine expatriates in Australia Argentine mathematicians Argentine women mathematicians Australian women mathematicians University of Buenos Aires alumni Academic staff of the University of South Australia Instituto Nacional de Matemática Pura e Aplicada alumni Year of birth missing (living people) Living people {{Argentina-academic-bio-stub