A tricirculant matrix is tridiagonal except for its (1. n) and (u. 1) entries. Tricirculant matrices arise
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is tridiagonal except for its (1. n) and (u. 1) entries. Tricirculant matrices arise in the numerical solution of periodic boundary value problems and in spline interpolation.
(a) Prove that if C = LU is regular, its factors have the form
(b) Compute the LU factorization of the n x n tricirculant matrix
for n = 3. 5 and 6. What goes wrong when n =4?
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