Existence and Uniqueness of the Infinite Matrix Factorization LU
نویسندگان
چکیده
منابع مشابه
Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay
...
متن کاملRecursive approach in sparse matrix LU factorization
This paper describes a recursive method for the LU factorization of sparse matrices. The recursive formulation of common linear algebra codes has been proven very successful in dense matrix computations. An extension of the recursive technique for sparse matrices is presented. Performance results given here show that the recursive approach may perform comparable to leading software packages for...
متن کاملLU factorization of the Vandermonde matrix and its applications
A scaled version of the lower and the upper triangular factors of the inverse of the Vandermonde matrix is given. Two applications of the q-Pascal matrix resulting from the factorization of the Vandermonde matrix at the q-integer nodes are introduced. c © 2007 Elsevier Ltd. All rights reserved.
متن کاملExistence and Uniqueness of Optimal Matrix Scalings
The problem of finding a diagonal similarity scaling to minimize the scaled singular value of a matrix arises frequently in robustness analysis of control systems. It is shown here that the set of optimal diagonal scalings is nonempty and bounded if and only if the matrix that is being scaled is irreducible. For an irreducible matrix, a sufficient condition is derived for the uniqueness of the ...
متن کاملInfinite Argumentation Frameworks - On the Existence and Uniqueness of Extensions
Abstract properties satisfied for finite structures do not necessarily carry over to infinite structures. Two of the most basic properties are existence and uniqueness of something. In this work we study these properties for acceptable sets of arguments, so-called extensions, in the field of abstract argumentation. We review already known results, present new proofs or explain sketchy old ones ...
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: Acta Marisiensis. Seria Technologica
سال: 2019
ISSN: 2668-4217
DOI: 10.2478/amset-2019-0006