Jul 6 – 13, 2022
Bologna, Italy
Europe/Rome timezone

Invertor - Program to compute exact inversion of large matrices

Jul 8, 2022, 7:05 PM
1h 25m
Bologna, Italy

Bologna, Italy

Palazzo della Cultura e dei Congressi
Poster Computing and Data handling Poster Session

Speaker

Mr Thiru Senthil R (The Institute of Mathematical Sciences, Taramani, Chennai 600113, India and Homi Bhabha National Institute, Anushakti Nagar, Mumbai 400094, India.)

Description

We have written a general purpose code for analytical inversion of large matrices in C language by treating matrices in block forms. We have optimized the computation speed using in-place inversion, dynamic memory handling and recursion techniques. This code is written to adopt with programs which requires the faster and exact solution of system of linear equations in C and Fortran. We have applied it in our study of tau neutrino events at India based Neutrino Observatory (INO). As example, with this program the time required for computing the exact inversion of matrices of order 100, 1000 are 6ms and 6.2s respectively in Intel i7 6700 CPU, 8GB RAM machine. We also present our alternate technique and results of computing inversion of ultra large matrices (of order > $10^4$) using parallel processing in clusters.

In-person participation Yes

Primary author

Mr Thiru Senthil R (The Institute of Mathematical Sciences, Taramani, Chennai 600113, India and Homi Bhabha National Institute, Anushakti Nagar, Mumbai 400094, India.)

Presentation materials