… basic concepts of our research area and being consistent in … in the development of highly efficient real-world software. … SPD matrix, using a randomized subspace iteration approach. …
… program is basically one endowed with a (pseudo-)random … The turning point of our approach consists in considering … rily, offering a bird’s-eyeviewof the topic captioned in the …
… , an exposure to basic linearalgebra and calculus (and perhaps … , our approach being more in accord with views expressed by the … We see that every algorithm is a program within its …
K He - University of California, Berkeley, 2023 - cs.utexas.edu
… RandomizedNumericalLinearAlgebra: A Perspective on the Field With an Eye to Software (… CQRRPT: Cholesky QR with randomized pivoting for tall matrices [1] Basic idea is simple …
C Chang, Y Yang - arXiv preprint arXiv:2404.14783, 2024 - arxiv.org
… Most linearalgebra concepts and results can be transplanted to the right vector space in … Figure 6 illustrates that our compression can highly approximate the origin velocity field and …
X Ni, AB Xu - arXiv preprint arXiv:2305.11450, 2023 - arxiv.org
… Abstract—Matrix decomposition is a very important mathematical tool in numericallinear algebra for data processing. In this paper, we introduce a new randomizedmatrix …
EN Epperly - arXiv preprint arXiv:2311.04362, 2023 - arxiv.org
… the field of randomizednumericallinearalgebra [MT20, MDM… wide deployment in general-purpose software, it is desirable … , we present a complementary linearalgebraic …
… uses methods from RandomizedNumericalLinearAlgebra (… Here we suggest a flexible two-stage approach to numerical … section were run using the following version of our software: …
Z Drmač - ACM Transactions on Mathematical Software, 2023 - dl.acm.org
… In the framework of numericallinearalgebra, it is a data … can be used as a starting point for RandLAPACK randomized … In ğ4 we analyze another approach to the symmetric/Hermitian …