On the Asymptotic Edigevalue Distribution of Toeplitz Matrices

IEEE Transactions on Information Theory

Volumn 18, Issue 6, 1972, Pages 725-730

  Gray, Robert Molten ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL TECHNIQUES - MATRIX ALGEBRA;

PROBABILITY;

EID: 0015431807     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/TIT.1972.1054924     Document Type: Article

References (8)

1. U. Grenander and G. Szegö Toeplitz Forms and Their Applications. Berkeley, Calif.: Univ. California Press, 1958.
2. H. Widom, “Toeplitz matrices,” in Studies in Real and Complex Analysis (Math. Ass. Amer., Studies in Mathematics), L. I. Hirschmann, Jr., Ed. Englewood Cliffs, N.J.: Prentice-Hall, 1965.
3. P. Lancaster, Theory of Matrices. New York: Academic Press, 1969.
4. W. Rudin, Principles of Mathematical Analysis. New York: McGraw-Hill, 1964.
5. R. M. Gray, “Toeplitz and circulant matrices: A review,” Stanford Electron. Lab., Tech. Rep. 6502–1. June 1971.
6. B. S. Tsybakov, “On the transmission capacity of a discrete-time Gaussian channel with filter” (in Russian), Probl. Peredach. Inform., vol6. pp. 78-82. 1970.
7. “Transmission capcity of memoryless Gaussian vector channels” (in Rjussian), Probl. Peredach. Inform., vol. 1, pp. 26–40, 1965.
8. R. M. Gray, “Information rates of autoregressive processes,” IEEE Trans. Inform. Theory, vol. IT-16, pp. 412–421, July 1970.