Abstract: Matrix polynomial expansion (MPE) based detector incurs either complicated computation of polynomial coefficients or slow convergence in uplink large-scale multiple-input and multiple-output ...

Sometimes a test fail on the CI https://github.com/sagemath/sage/pull/40401/files#file-src-sage-rings-polynomial-polynomial_element-pyx-L6009 To fix this, it should ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

Abstract: Alternating least squares (ALS) and its variations are the most commonly used algorithms for the PARAFAC decomposition of a tensor. However, it is still troubled for one how to accelerate ...

Proceedings of the American Mathematical Society Vol. 146, No. 2, February 2018 IMPROVED CAUCHY RADIUS FOR SCALAR AND MATRIX POLYNOMIALS This is the metadata section. Skip to content viewer section.

Hello everyone, I want to calculate the determinant of some specific matrix. I have simplified my problem and try to demonstrate the problem with the simplest code below. I suspect that it should be ...

Mark Jerrum, Alistair Sinclair (UC Berkeley) and Eric Vigoda (Georgia Tech) received the Association for Computing Machinery (ACM) Test of Time Award at a virtual ceremony on Wednesday 23 June at the ...

Efficient solvers for partial differential equations are among the most important areas of algorithmic research in high-performance computing. In this paper we present a new optimization for solving ...

We present in this paper a new method for solving polynomial eigenvalue problem. We give methods that decompose a skew-Hamiltonian matrix using Cholesky like-decomposition. We transform first the ...

The Laguerre polynomials have been extended to Laguerre matrix polynomials by means of studying certain second-order matrix differential equation. In this paper, certain second-order matrix ...