This PyTorch extension provides a drop-in replacement for torch.nn.Linear using block sparse matrices instead of dense ones. It enables very easy experimentation with sparse matrices since you can ...

Department of Cyber-Physical Systems, Clark Atlanta University, Atlanta, GA, USA. where P is some reflection (symmetric signed permutation) matrix. Like U, the generalized reflexive matrices A arise ...

The natural questions are that whether the above results can be used to estimate the perturbation bounds for singular values of a block tridiagonal matrix, and how to get the eigenvalues perturbation ...

Abstract: Block-banded matrices generalize banded matrices. We study the properties of positive definite full matrices P whose inverses A are L-block-banded. We show that, for such matrices, the ...

For the large sparse block two-by-two real nonsingular matrices, we establish a general framework of practical and efficient structured preconditioners through matrix transformation and matrix ...

Abstract: In compressive sensing (CS), the restricted isometry property (RIP) is an important condition on measurement matrices which guarantees the recovery of sparse signals with undersampled ...