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Journal of the Australian Mathematical Society (2001), ISSN 1446-8107, 2019, pp. 1 - 23
As a continuation of previous work of the first author with Ranjbar [‘A variational inequality in complete CAT(0) spaces’, (2015), 557–574] on a special form... 
secondary 90C25 | 47J20 | primary 47H05 | 49J40 | 2010 Mathematics subject classification | 65K10 | 47J25
Journal Article
Mathematical Programming Computation, ISSN 1867-2949, 9/2019, Volume 11, Issue 3, pp. 503 - 586
We introduce Sieve-SDP, a simple facial reduction algorithm to preprocess semidefinite programs (SDPs). Sieve-SDP inspects the constraints of the problem to... 
Strong duality | Semidefinite programming | Preprocessing | 90-08 | Strict feasibility | 90C06 | Mathematics | Theory of Computation | Optimization | Facial reduction | Polynomial optimization | Mathematics of Computing | 90C25 | Operations Research/Decision Theory | 90C22 | Mathematics - Optimization and Control
Journal Article
Journal Article
Annals of Statistics, ISSN 0090-5364, 02/2019, Volume 47, Issue 1, pp. 127 - 155
We introduce a new approach aiming at computing approximate optimal designs for multivariate polynomial regressions on compact (semialgebraic) design spaces.... 
Equivalence theorem | Semidefinite programming | Christoffel polynomial | Experimental design | Linear model | semidefinite programming | STATISTICS & PROBABILITY | linear model | equivalence theorem | Statistics | Mathematics | Optimization and Control
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2015, Volume 421, Issue 1, pp. 1 - 20
We introduce regularity notions for averaged nonexpansive operators. Combined with regularity notions of their fixed point sets, we obtain linear and strong... 
Douglas–Rachford algorithm | Averaged nonexpansive mapping | Projection | Nonexpansive operator | Convex feasibility problem | Bounded linear regularity | Douglas-Rachford algorithm | MATHEMATICS | MATHEMATICS, APPLIED | REGULARITY | PROJECTIONS | Analysis | Algorithms
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 09/2016, Volume 504, pp. 406 - 432
During the last decade, the paradigm of compressed sensing has gained significant importance in the signal processing community. While the original idea was to... 
Convex geometry | Sparse recovery | Grassmannian condition number | Compressed sensing | MATHEMATICS | MATHEMATICS, APPLIED | NUMBER | Signal processing | Algorithms | Mathematics - Functional Analysis
Journal Article
Foundations of Computational Mathematics, ISSN 1615-3375, 12/2019, Volume 19, Issue 6, pp. 1265 - 1313
Journal Article
Numerical functional analysis and optimization, ISSN 1532-2467, 2005, Volume 25, Issue 7-8, pp. 619 - 655
Journal Article