TR-2002002: Can We Optimize Toeplitz/Hankel Computations? II. Singular Toeplitz/Hankel-like Case
نویسنده
چکیده
In Part I, under the bit operation cost model we achieved nearly optimal randomized solution of nonsingular Toeplitz/Hankel linear system of equations based on Hensel's lifting. In Part II, we extend these results to the singular Toeplitz/Hankel-like case based on the MBA divide-and conquer algorithm and its combination with Hensel's lifting. We specify randomization and estimate the error/failure probability and the bit operation (Boolean) cost of some fundamental computations (such as rank and null space computation and solving consistent but singular linear systems).
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