Piecewise Continuous Toeplitz Matrices and Operators: Slow Approach to Infinity
نویسندگان
چکیده
The pseudospectra of banded finite dimensional Toeplitz matrices rapidly converge to the pseudospectra of the corresponding infinite dimensional operator. This exponential convergence makes a compelling case for analyzing pseudospectra of such Toeplitz matrices—not just eigenvalues. What if the matrix is dense and its symbol has a jump discontinuity? The pseudospectra of the finite matrices still converge, but it is shown here that the rate is no longer exponential in the matrix dimension—only algebraic.
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ورودعنوان ژورنال:
- SIAM J. Matrix Analysis Applications
دوره 24 شماره
صفحات -
تاریخ انتشار 2002