Circulant Preconditioners for Hermitian Toeplitz Systems

Cover Circulant Preconditioners for Hermitian Toeplitz Systems
Circulant Preconditioners for Hermitian Toeplitz Systems
Raymond H Chan
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Comp. , V6 (1985), pp. 349-364.
12 4. Chan, R. And Strang, G. , Toeplitz Equations by Conjugate Gradients with Circulant Prcconditioner, SIAM J. Sci. Stat. Comp. , to appear.
5. Chan, R. The Spectrum of a Family of Circulant Preconditioned Toe- plitz Systems, SIAM J. Num. Anal. , to appear.
6. Chan, T. , An Optimal Circulant Prcconditioner for Toeplitz Systems, SIAM J. Sci. Stat. Comp. , V9 (1988), pp. 766-771.
7. Golub, H. , and van Loan, C, Matrix Computations, The Johns Hop- kins University
...Press, Maryland, 1983.
8. Grenander, U. , and Szego, G. , Toeplitz Forms and Their Applications, 2nd Ed. , Chelsea Pub. Co. , New York, 1984.
9. Katznelson, Y. , An Introduction to Harmonic Analysis, 2nd Ed. , Dover Publications, New York, 1976.
10. Levinson, N. , The Wiener rms (root-mean-square) Error Criterion in Filter Design and Prediction, J. Math. Phys. , V25 (1947), pp. 261-278.
11. Strang, G. , A Proposal for Toeplitz Matrix Calculations, Studies in App. Math. , V74 (1986), pp. 171-176.


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