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math.NA2021
Eigenvalue superposition expansion for Toeplitz matrix-sequences, generated by linear combinations of matrix-order dependent symbols, and applications to fast eigenvalue computations
M. Bogoya, S. Serra-Capizzano
The eigenvalues of Toeplitz matrices with a real-valued symbol , satisfying some conditions and tracing out a simple loop over the interval , are known to adm…
math.NA2021
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems
M. Bogoya, S. M. Grudsky, S. Serra-Capizzano +1
In the present note we consider a type of matrices stemming in the context of the numerical approximation of distributed order fractional differential equations (FDEs): from one si…
math.NA2021
On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems
M. Bogoya, S. M. Grudsky, M. Mazza +1
The analysis of the spectral features of a Toeplitz matrix-sequence , generated by a symbol , real-valued almost everywhe…