Introduction

Invertor programs are written to compute the inversion of large matrices using blockwise inversion technique. The codes are available in C language for adopting with the user programs.

Publications

• R. Thiru Senthil, Invertor - Program to compute exact inversion of large matrices

  DOI: 10.22323/1.414.1129

  Published in: PoS ICHEP2022 (2022), 1129

  
  

• R. Thiru Senthil, Blockwise inversion and algorithms for inverting large partitioned matrices

  e-Print: 2305.11103 [math.NA]

  Submitted to Journal

Instructions

The programs written in this project are available in the 'Download page'. There are various C functions given in separate files according to the inversion scenario.

• User has to place the downloaded C file in the same directory of their programs and include it in their programs.
• The input_matrix and inverted_matrix are need to be declared (or dynamically memory allocated) in two dimensional double arrays (or pointers). The input matrix is updated with it's values.
• By calling, invertmat function with the arguments (order of input matrix, input_matrix, inverted_matrix), the matrix inversion is performed. Upon successful inversion, invertmat is updated with the values of inverted_matrix for the given input_matrix and the function returns an integer as 1.

#include "./invertor_inplace_by_a.c" 

        ⋮ 

... < user defined function > (...) 

{ 

	int < order > ; 
 
	double **< input_matrix >, **< inverted_matrix > ; 

	        ⋮ 

	invertmat( < order >, < input_matrix >, < inverted_matrix > );

	        ⋮ 
 
}