: Shor's algorithms for the integer factorization and the discrete logarithm problems can be regarded as a negative effect of the quantum mechanism on publickey cryptography. ...
We illustrate recent progress in developing algorithms for solving the Kohn-Sham problem. Key ingredients of our algorithm include pseudopotentials implemented on a real space gri...
James R. Chelikowsky, Murilo L. Tiago, Yousef Saad...
Abstract. We give a survey of algorithms for computing topological invariants of semi-algebraic sets with special emphasis on the more recent developments in designing algorithms f...
The integer factorisation and discrete logarithm problems are of practical importance because of the widespread use of public key cryptosystems whose security depends on the presum...