AN INTRODUCTION TO TENSOR-PRODUCTS WITH APPLICATIONS TO MULTIWAY DATA-ANALYSIS

Authors
BURDICK DS
Citation
Ds. Burdick, AN INTRODUCTION TO TENSOR-PRODUCTS WITH APPLICATIONS TO MULTIWAY DATA-ANALYSIS, Chemometrics and intelligent laboratory systems, 28(2), 1995, pp. 229-237
Citations number
11
Categorie Soggetti
Computer Application, Chemistry & Engineering","Instument & Instrumentation","Chemistry Analytical","Computer Science Artificial Intelligence","Robotics & Automatic Control
Journal title
Chemometrics and intelligent laboratory systems → ACNP
ISSN journal
01697439
Volume
28
Issue
2
Year of publication
1995
Pages
229 - 237
Database
ISI
SICI code
0169-7439(1995)28:2<229:AITTWA>2.0.ZU;2-T
Abstract
The concepts of tenser algebra and vector space geometry provide a uni fying framework for multilinear data analysis which simplifies notatio n and leads to economy of thought. Avoiding too much abstraction too s oon in defining tenser products makes these concepts accessible. Examp les are given of the use of tenser algebra in the analysis of bilinear and trilinear models arising in fluorescence spectroscopy.