Hadamard Matrices: Constructions using Number Theory and Linear Algebra
โ Scribed by Jennifer Seberry, Mieko Yamada
- Publisher
- Wiley
- Year
- 2020
- Tongue
- English
- Leaves
- 340
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Up-to-date resource on Hadamard matrices
Hadamard Matrices: Constructions using Number Theory and Algebra provides students with a discussion of the basic definitions used for Hadamard Matrices as well as more advanced topics in the subject, including:
- Gauss sums, Jacobi sums and relative Gauss sums
- Cyclotomic numbers
- Plug-in matrices, arrays, sequences and M-structure
- Galois rings and Menon Hadamard differences sets
- Paley difference sets and Paley type partial difference sets
- Symmetric Hadamard matrices, skew Hadamard matrices and amicable Hadamard matrices
- A discussion of asymptotic existence of Hadamard matrices
- Maximal determinant matrices, embeddability of Hadamard matrices and growth problem for Hadamard matrices
The book can be used as a textbook for graduate courses in combinatorics, or as a reference for researchers studying Hadamard matrices.
Utilized in the fields of signal processing and design experiments, Hadamard matrices have been used for 150 years, and remain practical today. Hadamard Matrices combines a thorough discussion of the basic concepts underlying the subject matter with more advanced applications that will be of interest to experts in the area.
๐ SIMILAR VOLUMES
https://www.mathstat.dal.ca/~selinger/linear-algebra/
Intended for a serious first course or a second course, this textbook will carry students beyond eigenvalues and eigenvectors to the classification of bilinear forms, to normal matrices, to spectral decompositions, and to the Jordan form. The authors approach their subject in a comprehensive and acc
This revision of a well-known text includes more sophisticated mathematical material. A new section on applications provides an introduction to the modern treatment of calculus of several variables, and the concept of duality receives expanded coverage. Notations have been changed to correspond to m
<DIV>Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra. Teachers and students will find it particularly suited to bridging the gap between ordinary undergraduate mathematics and co