منابع مشابه
Structured Matrices
The expression structured matrices appeared for the first time in a conference title in 1995, specifically in the session “Algorithms for Structured Matrices”, organized within the SPIE conference, held in San Diego (USA) [1, Session 6] and in the “Minisymposium on Structured Matrices” within the ILAS conference, held in Atlanta (USA) [2]. These first experiences led to the organization, in 199...
متن کاملApproximate iterations for structured matrices
Important matrix-valued functions f(A) are, e.g., the inverse A−1, the square root √ A, the sign function and the exponent. Their evaluation for large matrices arising from pdes is not an easy task and needs techniques exploiting appropriate structures of the matrices A and f(A) (often f(A) possesses this structure only approximately). However, intermediate matrices arising during the evaluatio...
متن کاملUnitary rank structured matrices
In this paper we describe how one can represent a unitary rank structured matrix in an efficient way as a product of unitary or Givens transformations. We provide also some basic operations for manipulating the representation, such as the transition to zerocreating form, the transition to a unitary/Givens-weight representation, as well as an internal pull-through process of the two branches of ...
متن کاملStructured Random Matrices
Random matrix theory is a well-developed area of probability theory that has numerous connections with other areas of mathematics and its applications. Much of the literature in this area is concerned with matrices that possess many exact or approximate symmetries, such as matrices with i.i.d. entries, for which precise analytic results and limit theorems are available. Much less well understoo...
متن کاملStructured matrices and inverses
A matrix (and any associated linear system) will be referred to as structured if it has a small displacement rank. It is known that the inverse of a structured matrix is structured, which allows fast inversion (or solution), and reduced storage requirements. According to two definitions of displacement structure of practical interest, it is shown here that several types of inverses are also str...
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ژورنال
عنوان ژورنال: The Electronic Journal of Linear Algebra
سال: 2003
ISSN: 1081-3810
DOI: 10.13001/1081-3810.1101