Imperial College London

One- and two-dimensional factorization structures on the Hilbert scheme of points of a surface

Nakajima and Grojnowski have shown that the cohomology H of Hilb(X) is naturally a representation of the Heisenberg Lie algebra modelled on the cohomology of X, and is isomorphic as a representation ...
IEEE

On the boundedness behavior of the spectral factorization in the Wiener algebra for FIR data

Abstract: It is known that the spectral factorization mapping is unbounded in the Wiener algebra, in general. However in applications, the given data are often polynomials. For such finite dimensional ...
IEEE

A fundamental theorem of algebra, spectral factorization, and stability of two-dimensional systems

Abstract: In his doctoral dissertation in 1797, Gauss proved the fundamental theorem of algebra, which states that any one-dimensional (1-D) polynomial of degree n with complex coefficients can be ...
Scientific Research Publishing

Wild, S., Curry, J. and Dougherty, A. (2003) Motivating Non-Negative Matrix Factorization. In Eighth SIAM Conference on Applied Linear Algebra Philadelphia, SIAM.

ABSTRACT: Hyperspectral unmixing is a powerful tool for the remote sensing image mining. Nonnegative matrix factorization (NMF) has been adopted to deal with this issue, while the precision of ...
Europe PMC

FACTORIZATION IN THE GROUP ALGEBRA OF THE REAL LINE.

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Scientific Research Publishing

Amin, K. (2014) Constructing Single-Error-Correcting Codes Using Factorization of Finite Abelian Groups. International Journal of Algebra, 8, 311-315.

ABSTRACT: We study decomposition of finite Abelian groups into subsets and show by examples a negative answer to the question of whether Hajós-property is inherited by direct product of groups which ...
GitHub

Advanced Linear Algebra for Data Science.md

Advanced linear algebra forms the backbone of many sophisticated algorithms in data science and machine learning. It enables us to manipulate high-dimensional data, extract meaningful patterns, and ...