Robinson's implicit function theorem has played a mayor role in the analysis of stability of optimization problems in the last two decades. In this paper we take a new look at this theorem, and with an updated terminology go back to the roots and present some extensions
In this article, we formalize differentiability of implicit function theorem in the Mizar system [3]...
AbstractGradient methods for local optimization of implictly defined functions are presented. The me...
In this work, equality-constrained bilevel optimization problems, arising from engineering design, e...
The implicit function theorem is one of the most important theorems in analysis and its many variant...
Implicit variables of a mathematical program are variables which do not needto be optimized but are ...
The implicit function theorem is part of the bedrock of mathematics analysis and geometry. Finding i...
AbstractThe implicit-function theorem deals with the solutions of the equation F(x, t) = a for local...
The implicit function theorem is a statement of the existence, continuity, and differen-tiability of...
Many problems in physics and mathematics may be reduced to solving equations depending on a paramete...
AbstractMany problems in physics and mathematics may be reduced to solving equations depending on a ...
http://deepblue.lib.umich.edu/bitstream/2027.42/4064/5/bab4573.0001.001.pdfhttp://deepblue.lib.umich...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
In this article, we present explicit estimates of the size of the domain on which the Implicit Funct...
We prove an abstract Nash-Moser implicit function theorem which, when applied to control and Cauchy ...
We prove an abstract Nash–Moser implicit function theorem which, when applied to control and Cauchy ...
In this article, we formalize differentiability of implicit function theorem in the Mizar system [3]...
AbstractGradient methods for local optimization of implictly defined functions are presented. The me...
In this work, equality-constrained bilevel optimization problems, arising from engineering design, e...
The implicit function theorem is one of the most important theorems in analysis and its many variant...
Implicit variables of a mathematical program are variables which do not needto be optimized but are ...
The implicit function theorem is part of the bedrock of mathematics analysis and geometry. Finding i...
AbstractThe implicit-function theorem deals with the solutions of the equation F(x, t) = a for local...
The implicit function theorem is a statement of the existence, continuity, and differen-tiability of...
Many problems in physics and mathematics may be reduced to solving equations depending on a paramete...
AbstractMany problems in physics and mathematics may be reduced to solving equations depending on a ...
http://deepblue.lib.umich.edu/bitstream/2027.42/4064/5/bab4573.0001.001.pdfhttp://deepblue.lib.umich...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
In this article, we present explicit estimates of the size of the domain on which the Implicit Funct...
We prove an abstract Nash-Moser implicit function theorem which, when applied to control and Cauchy ...
We prove an abstract Nash–Moser implicit function theorem which, when applied to control and Cauchy ...
In this article, we formalize differentiability of implicit function theorem in the Mizar system [3]...
AbstractGradient methods for local optimization of implictly defined functions are presented. The me...
In this work, equality-constrained bilevel optimization problems, arising from engineering design, e...