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On Chebyshev Polynomials of Matrices

✍ Scribed by Faber, Vance; Liesen, Jörg; Tichý, Petr


Book ID
118211956
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
258 KB
Volume
31
Category
Article
ISSN
0895-4798

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📜 SIMILAR VOLUMES


A note on Chebyshev polynomials
✍ G. Dattoli; D. Sacchetti; C. Cesarano 📂 Article 📅 2001 🏛 Springer-Verlag 🌐 German ⚖ 280 KB
Chebyshev Spaces of Polynomials
✍ Kimchi, E. 📂 Article 📅 1976 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 678 KB
Vandermonde matrices on Chebyshev points
✍ A. Eisinberg; G. Franzé; P. Pugliese 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 826 KB

This paper deals with Vandermonde matrices on Chebyshev points, hereafter denoted by V. We present simple formulas for the determinant of I" and the Frobenius norm of both V and V -~, and derive an algorithm for solving the linear systems l/'p =f and VTq = g. Numerical experiments to asses the stabi