3 papers
math.NA2026
Ricci-Notation Tensor Framework for Numerical Algebraic Geometry via Any-Degree Unitary-Triangular Factorization
Dileepan Joseph
The unitary-triangular (QR) factorization of linear algebra may be used to robustly and efficiently solve a linear system. Toward a comparable numerical method to solve a polynomia…
cs.MS2023
Ricci-Notation Tensor Framework for Model-based Approaches to Imaging
Dileepan Joseph
Model-based approaches to imaging, like specialized image enhancements in astronomy, facilitate explanations of relationships between observed inputs and computed outputs. These mo…
cs.MS2018
High Performance Rearrangement and Multiplication Routines for Sparse Tensor Arithmetic
Adam P. Harrison, Dileepan Joseph
Researchers are increasingly incorporating numeric high-order data, i.e., numeric tensors, within their practice. Just like the matrix/vector (MV) paradigm, the development of mult…