Block normal matrices and Gershgorin-type discs
نویسندگان
چکیده
منابع مشابه
Ela Block Normal Matrices and Gershgorin-type Discs
Received by the editors on July 14, 2010. Accepted for publication on October 5, 2011. Handling Editor: Richard Brualdi. Faculty of Mathematics and Information Science, Warsaw University of Technology, Pl. Politechniki 1, Warsaw, 00-661 Poland ([email protected], [email protected]). Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Lin...
متن کاملBlock imbedding and interlacing results for normal matrices
A pair of matrices is said to be imbeddable precisely when one is an isometric projection of the other on a suitable subspace. The concept of imbedding has been the subject of extensive study. Particular emphasis has been placed on relating the spectra of the matrices involved, especially when both matrices are Hermitian or normal. In this paper, the notion of block imbedding is introduced and ...
متن کاملType-Preserving Matrices and Security of Block Ciphers
We provide a new property, called Non-Type-Preserving, for a mixing layer which guarantees protection against algebraic attacks based on the imprimitivity of the group generated by the round functions. Our main result is to present necessary and sufficient conditions on the structure of the binary matrix associated to the mixing layer, so that it has this property. Then we show how several fami...
متن کاملMeasuring Dimensions of Lumbar Intervertebral Discs in Normal Subjects
Introduction: Disc degeneration is a natural aging process characterized by changes in appearance and chemical structure of the disc. This degeneration leads to back pain. In regard to the limitation of current therapeutical methods for patients with degenerated discs, arthroplasty has been suggested as an alternative method. To manufacture artificial discs for Iranians, determining normal lumb...
متن کاملBlock transitivity and degree matrices
We say that a square matrix M of order r is a degree matrix of a given graph G if there is a so called equitable partition of its vertices into r blocks. This partition satisfies that for any i and j it holds that a vertex from the i-th block of the partition has exactly mi,j neighbors inside the j-th block. We ask whether for a given degree matrix M, there exists a graph G such that M is a deg...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Electronic Journal of Linear Algebra
سال: 2011
ISSN: 1081-3810
DOI: 10.13001/1081-3810.1491