Frank Deutsch

Computer Science · Physical Sciences

30h-index3.0kcitations105works0.02yr avg
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Research Topics

Optimization and Variational Analysis(29), Approximation Theory and Sequence Spaces(24), Matrix Theory and Algorithms(23), Advanced Banach Space Theory(23), Advanced Optimization Algorithms Research(18)

Publications105 total

Some Applications of the Hahn-Banach Separation Theorem
arXiv (Cornell University)·2017· 1 citedOpen Access
Characterizing best isotone approximations in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math> spaces, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mn>1</mml:mn><mml:mo>≤</mml:mo><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mi>∞</mml:mi></mml:math>
Journal of Approximation Theory·2015· 4 cited
Arbitrarily Slow Convergence of Sequences of Linear Operators
Contemporary mathematics - American Mathematical Society·2015· 2 cited
A Generalization of Tyuriemskih's Lethargy Theorem and Some Applications
Numerical Functional Analysis and Optimization·2013· 8 cited
Visible Points in Convex Sets and Best Approximation
Springer proceedings in mathematics & statistics·2013· 1 cited
Visible Points in Convex Sets and Best Approximation
arXiv (Cornell University)·2012Open Access
Arbitrarily Slow Convergence of Sequences of Linear Operators: A Survey
Springer optimization and its applications·2011· 5 cited
Slow convergence of sequences of linear operators II: Arbitrarily slow convergence
Journal of Approximation Theory·2010· 26 cited
Slow convergence of sequences of linear operators I: Almost arbitrarily slow convergence
Journal of Approximation Theory·2010· 10 cited
Characterizing arbitrarily slow convergence in the method of alternating projections
International Transactions in Operational Research·2009· 40 cited
The rate of convergence for the cyclic projections algorithm III: Regularity of convex sets
Journal of Approximation Theory·2008· 50 cited
Characterizing arbitrarily slow convergence in the method of alternating projections
ArXiv.org·2007· 2 citedOpen Access
The rate of convergence for the cyclic projections algorithm II: Norms of nonlinear operators
Journal of Approximation Theory·2006· 34 cited
The rate of convergence for the cyclic projections algorithm I: Angles between convex sets
Journal of Approximation Theory·2006· 66 cited
Untitled
Transactions of the American Mathematical Society·2005· 1 citedOpen Access
Strong CHIP, normality, and linear regularity of convex sets
Transactions of the American Mathematical Society·2005· 54 citedOpen Access
A new proximal point iteration that converges weakly but not in norm
Proceedings of the American Mathematical Society·2005· 43 citedOpen Access
Untitled
Transactions of the American Mathematical Society·2003Open Access
Approximating weak Chebyshev subspaces by Chebyshev subspaces
Journal of Approximation Theory·2003· 2 cited
Accelerating the convergence of the method of alternating projections
Transactions of the American Mathematical Society·2003· 87 citedOpen Access
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Frequent Co-authors

Hein Hundal(10), Bruno Brosowski(7), J. D. Ward(5), Heinz H. Bauschke(3), Ivan Singer(3), Peter D. Morris(3), Sung-Ho Park(2), Charles K. Chui(2), Petar S. Kenderov(2), Wu Li(2), Günther Nürnberger(2), Joseph M. Lambert(2), V. Indumathi(2), P. H. Maserick(1), Wu Li(1), Andrew Bakan(1), Dan Amir(1), D.A Ault(1), John E. Olson(1), James V. Burke(1)