Relationships Between Farthest Point Problem and Best Approximation Problem

Teodor Precupanu

doi:10.2478/v10157-010-0033-5

Relationships Between Farthest Point Problem and Best Approximation Problem

Annals of the Alexandru Ioan Cuza University - Mathematics ◽

10.2478/v10157-010-0033-5 ◽

2011 ◽

Vol 57 (1) ◽

pp. 1-12

Author(s):

Teodor Precupanu

Keyword(s):

Best Approximation ◽

Approximation Problem ◽

Point Problem ◽

Farthest Point ◽

Best Approximation Problem

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Influence of geometric properties of space on the convergence of Cauchy's method in the best-approximation problem

Mathematical Notes ◽

10.1007/bf01159061 ◽

1970 ◽

Vol 8 (3) ◽

pp. 657-662

Author(s):

V. I. Berdyshev

Keyword(s):

Best Approximation ◽

Approximation Problem ◽

Geometric Properties ◽

The Best Approximation ◽

Best Approximation Problem ◽

Cauchy's Method

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An 12constrained best approximation problem

Numerical Functional Analysis and Optimization ◽

10.1080/01630568908816331 ◽

1989 ◽

Vol 10 (7-8) ◽

pp. 807-826 ◽

Cited By ~ 1

Author(s):

Ts. Tsachev

Keyword(s):

Best Approximation ◽

Approximation Problem ◽

Best Approximation Problem

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On the alternants appearing in Chebyshev's best approximation problem

Numerische Mathematik ◽

10.1007/bf01386069 ◽

1964 ◽

Vol 6 (1) ◽

pp. 211-223 ◽

Cited By ~ 1

Author(s):

F. Briones

Keyword(s):

Best Approximation ◽

Approximation Problem ◽

Best Approximation Problem

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On a Generalized Best Approximation Problem

Journal of Approximation Theory ◽

10.1006/jath.1998.3177 ◽

1998 ◽

Vol 94 (1) ◽

pp. 54-72 ◽

Cited By ~ 48

Author(s):

F.S. De Blasi ◽

J. Myjak

Keyword(s):

Best Approximation ◽

Approximation Problem ◽

Best Approximation Problem

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Rank constrained matrix best approximation problem

Applied Mathematics Letters ◽

10.1016/j.aml.2015.06.009 ◽

2015 ◽

Vol 50 ◽

pp. 98-104 ◽

Cited By ~ 4

Author(s):

Hongxing Wang

Keyword(s):

Best Approximation ◽

Approximation Problem ◽

Best Approximation Problem

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The Supporting Halfspace--Quadratic Programming Strategy for the Dual of the Best Approximation Problem

SIAM Journal on Optimization ◽

10.1137/16m106090x ◽

2016 ◽

Vol 26 (4) ◽

pp. 2591-2619 ◽

Cited By ~ 3

Author(s):

C. H. Jeffrey Pang

Keyword(s):

Quadratic Programming ◽

Best Approximation ◽

Approximation Problem ◽

The Best Approximation ◽

Best Approximation Problem

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A Complex Homographic Best Approximation Problem. Application to Optimized Robin--Schwarz Algorithms, and Optimal Control Problems

SIAM Journal on Numerical Analysis ◽

10.1137/20m1335789 ◽

2021 ◽

Vol 59 (3) ◽

pp. 1769-1810

Author(s):

Bérangère Delourme ◽

Laurence Halpern

Keyword(s):

Optimal Control ◽

Best Approximation ◽

Optimal Control Problems ◽

Approximation Problem ◽

Control Problems ◽

Schwarz Algorithms ◽

Best Approximation Problem

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Computational acceleration of projection algorithms for the linear best approximation problem

Linear Algebra and its Applications ◽

10.1016/j.laa.2005.10.006 ◽

2006 ◽

Vol 416 (1) ◽

pp. 111-123 ◽

Cited By ~ 14

Author(s):

Yair Censor

Keyword(s):

Best Approximation ◽

Approximation Problem ◽

Projection Algorithms ◽

Best Approximation Problem

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A Generalization of a Best Approximation Problem in Real Line

Asian Journal of Mathematics & Statistics ◽

10.3923/ajms.2014.68.69 ◽

2014 ◽

Vol 7 (2) ◽

pp. 68-69

Author(s):

Asiyeh Erfanmanes

Keyword(s):

Real Line ◽

Best Approximation ◽

Approximation Problem ◽

Best Approximation Problem

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A homographic best approximation problem with application to optimized Schwarz waveform relaxation

Mathematics of Computation ◽

10.1090/s0025-5718-08-02145-5 ◽

2009 ◽

Vol 78 (265) ◽

pp. 185-185 ◽

Cited By ~ 62

Author(s):

D. Bennequin ◽

M. J. Gander ◽

L. Halpern

Keyword(s):

Best Approximation ◽

Approximation Problem ◽

Waveform Relaxation ◽

Schwarz Waveform Relaxation ◽

Best Approximation Problem

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