Relativistic Cholesky-decomposed density matrix MP2

Multireference Perturbation Theory with Cholesky Decomposition for the Density Matrix Renormalization Group

We present a second-order N-electron valence state perturbation theory (NEVPT2) based on a density matrix renormalization group (DMRG) reference wave function that exploits a Cholesky decomposition of the two-electron repulsion integrals (CD-DMRG-NEVPT2). With a parameter-free multireference perturbation theory approach at hand, the latter allows us to efficiently describe static and dynamic co...

Second-order Moller-Plesset perturbation (MP2) theory at finite temperature: relation with Surjan's density matrix MP2 and its application to linear-scaling divide-and-conquer method

Parallel Cholesky Factorization of a Block Tridiagonal Matrix

In this paper we discuss the parallel implementation of the Cholesky factorization of a positive definite symmetric matrix when that matrix is block tridiagonal. While parallel implementations for this problem, and closely related problems like the factorization of banded matrices, have been previously reported in the literature, those implementations dealt with the special cases where the bloc...

Leveraging Decomposed Trust in Probabilistic Matrix Factorization for Effective Recommendation

Trust has been used to replace or complement ratingbased similarity in recommender systems, to improve the accuracy of rating prediction. However, people trusting each other may not always share similar preferences. In this paper, we try to fill in this gap by decomposing the original single-aspect trust information into four general trust aspects, i.e. benevolence, integrity, competence, and p...

A Reconfigurable Processing Element for Cholesky Decomposition and Matrix Inversion

Fixed-point simulation results are used for the performance measure of inverting matrices by Cholesky decomposition. The fixed-point Cholesky decomposition algorithm is implemented using a fixed-point reconfigurable processing element. The reconfigurable processing element provides all mathematical operations required by Cholesky decomposition. The fixed-point word length analysis is based on s...