We show that, under suitable assumptions on the function (Formula presented.), the sequence of variable-coefficient Toeplitz matrices generated by a is a generalized locally Toeplitz (GLT) sequence with symbol (Formula presented.). This property, in combination with the theory of GLT sequences, allows us to derive a lot of spectral distribution (SzegÅ-type) results for various sequences of matrices, including those obtained from algebraic and non-algebraic operations on variable-coefficient Toeplitz sequences.
|Titolo:||Spectral Distribution Results Beyond the Algebra Generated by Variable-Coefficient Toeplitz Sequences: The GLT Approach|
|Data di pubblicazione:||2017|
|Appare nelle tipologie:||Articolo su Rivista|