Week 1: Systems of Linear Equations Matrices are commonly used in machine learning and data science to represent data and its transformations. In this week, you will learn how matrices naturally arise ...

In recent years, the Linear canonical transform (LCT) has been recognized as a powerful tool in signal processing scenarios and optics. In this two-part paper, the issue of unitary and Hermitian ...

In this part of the paper, based on the fundamentals derived in Part I, we develop and implement two new algorithms. The first one, based on the proposed correlation operation for Linear canonical ...

We have introduced various properties of the n-dimensional pseudo-differential operator on the Schwartz space using linear canonical transform. It has been shown that the product of two n-dimensional ...

TITLE: Operator Matrices on Banach Spaces AUTHORS: Nan Hua, Ning Kang, Huan Liao KEYWORDS: Infinite Matrix, Matrix Transformation, Banach Space JOURNAL NAME: Open Access Library Journal, Vol.7 No.10, ...

This course aims to develop your knowledge in the mathematics topics of linear algebra and calculus, which provides the basic mathematics foundation that is necessary for anyone pursuing a computing ...

ABSTRACT: We consider plus-operators in Krein spaces and generated operator linear fractional relations of the following form: . We study some special type of factorization for plus-operators T, among ...

Transforming light: illustration of how an arbitrary linear transform can be achieved in an all-optical system using diffractive surfaces (Courtesy: Ozcan Lab/UCLA) Researchers in the US have shown ...