Scientific Research Publishing

T. S. Baskett and I. J. Katz, “Theorems on Products of EPr Matrices,” Linear Algebra and Its Applications, Vol. 2, No. 1, 1969, pp. 87-103.

ABSTRACT: Necessary and sufficient conditions for a schur complement of a con-s-k-EP matrix to be con-s-k-EP are determined. Further it is shown that in a con-s-k-EPr matrix, every secondary sub ...
Scientific Research Publishing

J. N. Fan, “Determinants and Multiplicative Functionals on Quaternion Matrices,” Linear Algebra and Its Applications, Vol. 369, 2003, pp. 193-201. doi:10.1016/S0024-3795(02 ...

ABSTRACT: In this paper, a series of bicomplex representation methods of quaternion division algebra is introduced. We present a new multiplication concept of quaternion matrices, a new determinant ...
IEEE

Exploiting dynamic sparse matrices for performance portable linear algebra operations

Abstract: Sparse matrices and linear algebra are at the heart of scientific simulations. More than 70 sparse matrix storage formats have been developed over the years, targeting a wide range of ...
GitHub

Odin bindings for the Armadillo Matrix and Linear Algebra Lib

The Armadillo C++ Lib is a fantastic library for Matrix, Linear Algebra and Scientific Computing in general, it is a very fast library and many great software has been written with it. It has a ...
IEEE

Community-based Matrix Reordering for Sparse Linear Algebra Optimization

Abstract: Sparse linear algebra kernels achieve sub-optimal performance due to their poor cache locality. Matrix reordering is an effective pre-processing optimization that improves cache locality and ...