scholarly journals On the normal matrix of the polynomial LS problem over the Chebyshev points

2004 ◽  
Vol 378 ◽  
pp. 61-69 ◽  
Author(s):  
Paolo Pugliese
Keyword(s):  
Normal Matrix ◽  
Chebyshev Points

Closest normal matrix finally found!

1987 ◽  
Vol 27 (4) ◽  
pp. 585-598 ◽  
Author(s):  
Axel Ruhe
Keyword(s):  
Normal Matrix

scholarly journals Covering and separation of Chebyshev points for non-integrable Riesz potentials

2018 ◽  
Vol 46 ◽  
pp. 19-44 ◽  
Author(s):  
A. Reznikov ◽  
E. Saff ◽  
A. Volberg
Keyword(s):  
Riesz Potentials ◽  
Chebyshev Points

Uniform summability of power series

1972 ◽  
Vol 71 (2) ◽  
pp. 335-341 ◽  
Author(s):  
J. C. Kurtz ◽  
W. T. Sledd
Keyword(s):  
Banach Space ◽  
Power Series ◽  
Normal Matrix ◽  
Cesàro Means ◽  
Summability Factors ◽  
Cesaro Means ◽  
Space Topology ◽  
Nörlund Means ◽  
Summability Field ◽  
Cesáro Means

AbstractIt is shown that for the Cesàro means (C, α) with α > - 1, and for a certain class of more general Nörlund means, summability of the series σan implies uniform summability of the series σan zn in a Stolz angle at z = 1.If B is a normal matrix and (B) denotes the series summability field with the usual Banach space topology, then the vectors {ek} (ek = {0,0,..., 1,0,...}) are said to form a Toplitz basis for (B) relative to a method H if H — Σakek = a for each a = {ak}ε(B). It is shown for example that the above relation holds for B = (C,α), α> − 1 , and H = Abel method; also for B = (C,α) and H = (C,β) with 0 ≤ α ≤ β.Applications are made to theorems on summability factors.

scholarly journals Unitary similarity to a normal matrix

2012 ◽  
Vol 436 (9) ◽  
pp. 3777-3783 ◽  
Author(s):  
Tatiana G. Gerasimova
Keyword(s):  
Normal Matrix ◽  
Unitary Similarity

scholarly journals Vandermonde matrices on Chebyshev points

1998 ◽  
Vol 283 (1-3) ◽  
pp. 205-219 ◽  
Author(s):  
A. Eisinberg ◽  
G. Franzé ◽  
P. Pugliese
Keyword(s):  
Vandermonde Matrices ◽  
Chebyshev Points

Product of two diagonal entries of a 3-by-3 normal matrix

2018 ◽  
Vol 544 ◽  
pp. 115-140
Author(s):  
Peng-Ruei Huang ◽  
Hiroshi Nakazato
Keyword(s):  
Normal Matrix

Newton Interpolation in Fejer and Chebyshev Points

1989 ◽  
Vol 53 (187) ◽  
pp. 265 ◽  
Author(s):  
Bernd Fischer ◽  
Lothar Reichel
Keyword(s):  
Newton Interpolation ◽  
Chebyshev Points

Analyzing the Precision of Chebyshev Polynomial Fitting GPS Satellite Ephemeris

2013 ◽  
Vol 353-356 ◽  
pp. 3410-3413 ◽  
Author(s):  
Shao Feng Xie ◽  
Peng Fei Zhang ◽  
Li Long Liu
Keyword(s):  
Chebyshev Polynomial ◽  
Interpolation Node ◽  
Polynomial Fitting ◽  
Chebyshev Points ◽  
Precise Ephemeris ◽  
The Difference

Using Chebyshev polynomial to fit precise ephemeris of GPS, the nodes selection has a certain influence on the precision. In this paper we use 3 kinds of precise ephemeris ( IGF, IGR, IGU ) to analyze the difference precision of randomly selected interpolation node and Chebyshev points fitting orbit and compare the difference and precision of fitting orbit by 3 kinds of ephemeris and orbit provided by IGS. The result shows that using Chebyshev points to fit precise ephemeris, the precision of IGF and IGR can achieve mm levels, the precision of IGU can achieve cm levels.

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