In a recent paper, motivated by the analysis of some BVM methods, Aceto and Trigiante consider tests for proving the positive definiteness of real banded Toeplitz matrices. Here we furnish a new test and we show that the analysis provided by Aceto and Trigiante can be simplified by using known facts on the symbol.
Simplification of a result on banded Toeplitz matrices and BVM methods
SERRA CAPIZZANO, STEFANO
2007-01-01
Abstract
In a recent paper, motivated by the analysis of some BVM methods, Aceto and Trigiante consider tests for proving the positive definiteness of real banded Toeplitz matrices. Here we furnish a new test and we show that the analysis provided by Aceto and Trigiante can be simplified by using known facts on the symbol.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.