Vandermonde matrices on Chebyshev points

✍ Scribed by A. Eisinberg; G. Franzé; P. Pugliese

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 826 KB
• Volume: 283
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(98)10092-7

✦ Synopsis

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 stability of this algorithm are also reported.