A class of ''onto'' multifunctions
A convex valued, upper continuous multifunction with a pointed closed convex domain is proved to be onto, if there is a selection with certain coercive properties and if the selection for each point lies in the affine hull of the smallest face of the domain containing the point. The proof uses a piecewise affine homotopy construction. 9 refs., 2 figs.
- Research Organization:
- Stanford Univ., CA (United States). Systems Optimization Lab.
- Sponsoring Organization:
- USDOE Office of Science (SC); National Science Foundation (NSF); USILBSF
- DOE Contract Number:
- FG03-87ER25028
- OSTI ID:
- 5466284
- Report Number(s):
- SOL-89-14; ON: DE90002651
- Country of Publication:
- United States
- Language:
- English
Similar Records
A build-up interior method for linear programming: Affine scaling form
On the piecewise convex or concave nature of ground state energy as a function of fractional number of electrons for approximate density functionals
WE-G-207-02: Full Sequential Projection Onto Convex Sets (FS-POCS) for X-Ray CT Reconstruction
Technical Report
·
Thu Feb 01 00:00:00 EST 1990
·
OSTI ID:5466284
On the piecewise convex or concave nature of ground state energy as a function of fractional number of electrons for approximate density functionals
Journal Article
·
Tue Feb 21 00:00:00 EST 2017
· Journal of Chemical Physics
·
OSTI ID:5466284
WE-G-207-02: Full Sequential Projection Onto Convex Sets (FS-POCS) for X-Ray CT Reconstruction
Journal Article
·
Mon Jun 15 00:00:00 EDT 2015
· Medical Physics
·
OSTI ID:5466284