4 papers
GLT matrix-sequences and few emblematic applications
Muhammad Faisal Khan
This thesis advances the spectral theory of structured matrix-sequences within the framework of Generalized Locally Toeplitz (GLT) -algebras, focusing on the geometric mean of H…
Determining the space dependent coefficients in space-time fractional diffusion equations via Krylov preconditioning
Asim Ilyas, Muhammad Faisal Khan, Rosita L. Sormani +2
We consider a time-space fractional diffusion equation with a variable coefficient and investigate the inverse problem of reconstructing the source term, after regularizing the pro…
Geometric means of HPD GLT matrix-sequences: a maximal result beyond invertibility assumptions on the GLT symbols
Asiim Ilyas, Muhammad Faisal Khan, Valerio Loi +1
In the current work, we consider the study of the spectral distribution of the geometric mean matrix-sequence of two matrix-sequences formed by Hermitian Positi…
GLT hidden structures in mean-field quantum spin systems
Christiaan J. F. van de Ven, Muhammad Faisal Khan, S. Serra-Capizzano
This work explores structured matrix sequences arising in mean-field quantum spin systems. We express these sequences within the framework of generalized locally Toeplitz (GLT) …