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Code Listing by Sundar Krishnan

Code 1-7 of 7   

This file : eig_svd_herm_unit_pos_def_2.m is a modified (improved) version of my previous file. The main correction has been to include issparse() instead of class() to identify a Sparse Matrix. This change is essential for R13.

The file eig_svd_herm_unit_pos_def_2.m and it's companion files contain the details of usage of commands like eig & eigs, svd & svds, and explains with many examples what a Hermitian Matrix is, what...

15th July, 2005 : Poly_POWER.m is now corrected !

So, for most reasonable cases of Multiple Roots including Multiple Real Roots, this Programme should now work.

For eg, Poly_POWER works successfully for :
{ x^6 +...

This programme is about finding many examples of Ramanujam's Diophantine Equation. For mathematical formulas used in making this programme, I have referred to the article MATHEMATICAL MINIATURE 9.pdf by John Butcher,...

15th July, 2005 : Poly_POWER.m is now corrected !

So, for most reasonable cases of Multiple Roots including Multiple Real Roots, Poly_POWER.m should now work.


Functional Description of...

This programme is an application of the Chinese Remainder Theorem for Integers - for obtaining a solution to the "k-threshold system for sharing a secret". The concept is explained in the book "A course in Number Theory and... is a suite of the foll Programmes :

1) Euler_Phi (n) returns the no of positive integers less than n which are prime to n.

2) a_k_mod_m_LCM_Method (a, m, k) : Imagine computing mod(14^26, 45) or mod(56^3005,... contains the following :

MPN_FPN.m : This programme creates Mersenne Prime Numbers and Fermat Prime Numbers.
We are however, limited in the range here because MATLAB's isprime()is limited to only 2^32.