Multilevel probing methods for approximating selected entries of the matrix inverse on highly parallel heterogeneous architectures

• Main Author: Γεωργίου, Βασίλειος
• Other Authors: Georgiou, Vasileios
• Language: English
• Published: 2021
• Subjects: Numerical linear algebra; Selected inversion; High performance computing; Probing method; Υπολογιστική γραμμική άλγεβρα; Υπολογισμός αντιστρόφου; Υπολογισμοί υψηλών επιδόσεων; Μέθοδοι ανίχνευσης

Motivated by the theoretical understanding of localization phenomena in matrix functions, probing methods have been proposed to approximate selected entries of the matrix inverse. In this thesis we focus on the development of novel methods to better balance the work of the procedures that compo...