Prerequisites from Matrix Analysis

Rudolf Mathar (), Gholamreza Alirezaei (), Emilio Balda and Arash Behboodi
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Rudolf Mathar: RWTH Aachen University, Institute for Theoretical Information Technology
Gholamreza Alirezaei: RWTH Aachen University, Chair and Institute for Communications Engineering
Emilio Balda: RWTH Aachen University, Institute for Theoretical Information Technology
Arash Behboodi: RWTH Aachen University, Institute for Theoretical Information Technology

Chapter Chapter 2 in Fundamentals of Data Analytics, 2020, pp 9-33 from Springer

Abstract: Abstract Linear algebra and matrix algebra provide the methodology for mapping high-dimensional data onto low-dimensional spaces. The combination of matrix analysis and optimization theory is of particular interest. This chapter focuses on elaborating tools which are prerequisite for data analytics and data processing. We will not only provide a vast overview, but will also introduce relevant theorems in detail with the derivation of proofs. We think that having deep insight into the general mathematical structure of matrix functions is extremely useful for dealing with unknown future problems.

Date: 2020
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DOI: 10.1007/978-3-030-56831-3_2

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