Classification of normal Toeplitz matrices with real entries
β Scribed by Kh. D. Ikramov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1995
- Tongue
- English
- Weight
- 450 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
The Toeplitz (or block Toeplitz) matrices S(r)=[s j&k ] r k, j=1 , generated by the Taylor coefficients at zero of analytic functions .(\*)= s0 2 + p=1 s & p \* p and (+)= s0 2 + p=1 s p + p , are considered. A method is proposed for removing the poles of . and or, in other words, for replacing S( )
We first modify the known FFT based algorithm for approximate polynomial division (which is equivalent to inversion of triangular Toeplitz matrices) by replacing FFT by DST, Discrete Sine Transform. The algorithm remains as fast as before but avoids involving nonreal numbers where the input is real.