Optimally conditioned block matrices
نویسندگان
چکیده
منابع مشابه
Optimally Secure Block Ciphers from Ideal Primitives
Recent advances in block-cipher theory deliver security analyses in models where one or more underlying components (e.g., a function or a permutation) are ideal (i.e., randomly chosen). This paper addresses the question of finding new constructions achieving the highest possible security level under minimal assumptions in such ideal models. We present a new block-cipher construction, derived fr...
متن کاملOCReP: An Optimally Conditioned Regularization for pseudoinversion based neural training
In this paper we consider the training of single hidden layer neural networks by pseudoinversion, which, in spite of its popularity, is sometimes affected by numerical instability issues. Regularization is known to be effective in such cases, so that we introduce, in the framework of Tikhonov regularization, a matricial reformulation of the problem which allows us to use the condition number as...
متن کاملGeneralized Drazin inverse of certain block matrices in Banach algebras
Several representations of the generalized Drazin inverse of an anti-triangular block matrix in Banach algebra are given in terms of the generalized Banachiewicz--Schur form.
متن کاملEla Block Distance Matrices
In this paper, block distance matrices are introduced. Suppose F is a square block matrix in which each block is a symmetric matrix of some given order. If F is positive semidefinite, the block distance matrix D is defined as a matrix whose (i, j)-block is given by D ij = F ii +F jj −2F ij. When each block in F is 1 × 1 (i.e., a real number), D is a usual Euclidean distance matrix. Many interes...
متن کاملBlock P-matrices
Several possibilities to generalize P-matrices to block form are discussed. Unfortunately certain equivalences holding for P-matrices do not carry over to the block case. We opt for one such generalization calling it block P-matrices. It has the most analogies to the usual P-matrices. This class and its connections to other generalizations is studied in some detail.
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: Linear Algebra and its Applications
سال: 2002
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(01)00412-8