Lincoln Laboratorty, 1965. - pp.<div class="bb-sep"></div>The purpose of this report is to define a useful shorthand notation for dealing with matrix functions and to use these results in order to compute the gradient matrices of several scalar functions of matrices.
Index Matrices: Towards an Augmented Matrix Calculus
โ Scribed by Krassimir T. Atanassov (auth.)
- Publisher
- Springer International Publishing
- Year
- 2014
- Tongue
- English
- Leaves
- 116
- Series
- Studies in Computational Intelligence 573
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
This book presents the very concept of an index matrix and its related augmented matrix calculus in a comprehensive form. It mostly illustrates the exposition with examples related to the generalized nets and intuitionistic fuzzy sets which are examples of an extremely wide array of possible application areas. The present book contains the basic results of the author over index matrices and some of its open problems with the aim to stimulating more researchers to start working in this area.
โฆ Table of Contents
Front Matter....Pages i-xii
Index Matrices: Definitions, Operations, Relations....Pages 1-27
Intuitionistic Fuzzy IMs....Pages 29-49
Extended Index Matrices....Pages 51-68
Temporal IFIMs....Pages 69-81
Index Matrices with Function-Type of Elements....Pages 83-93
Three Dimensional IMs....Pages 95-105
Back Matter....Pages 107-110
โฆ Subjects
Computational Intelligence; Artificial Intelligence (incl. Robotics); Mathematical Models of Cognitive Processes and Neural Networks
๐ SIMILAR VOLUMES
The statistical models confronting econometricians are complicated in nature so it is no easy task to apply the procedures recommended by classical statisticians to such models. This book presents the reader with mathematical tools drawn from matrix calculus and zero-one matrices and demonstrates ho
The statistical models confronting econometricians are complicated in nature so it is no easy task to apply the procedures recommended by classical statisticians to such models. This book presents the reader with mathematical tools drawn from matrix calculus and zero-one matrices and demonstrates ho
The statistical models confronting econometricians are complicated in nature so it is no easy task to apply the procedures recommended by classical statisticians to such models. This book presents the reader with mathematical tools drawn from matrix calculus and zero-one matrices and demonstrates ho