Results 11 to 20 of about 1,008,358 (243)
The Condition Number of Join Decompositions [PDF]
SIAM Journal on Matrix Analysis and Applications, 2018 The join set of a finite collection of smooth embedded submanifolds of a mutual vector space is defined as their Minkowski sum. Join decompositions generalize some ubiquitous decompositions in multilinear algebra, namely tensor rank, Waring, partially symmetric rank and block term decompositions.
Breiding, Paul, Vannieuwenhoven, Nick
openaire +3 more sources
Structured Eigenvalue Condition Numbers [PDF]
SIAM Journal on Matrix Analysis and Applications, 2006 This paper investigates the effect of structure-preserving perturbations on the eigenvalues of linearly and nonlinearly structured eigenvalue problems. Particular attention is paid to structures that form Jordan algebras, Lie algebras, and automorphism groups of a scalar product.
Michael Karow +2 more
openaire +1 more source
Convexity Properties of the Condition Number [PDF]
SIAM Journal on Matrix Analysis and Applications, 2010 This article was improved for readbility, following referee ...
Carlos Beltrán 0001 +3 more
openaire +5 more sources
SIAM Journal on Optimization, 2009 In this paper we study the problem of minimizing condition numbers over a compact convex subset of the cone of symmetric positive semidefinite $n\times n$ matrices. We show that the condition number is a Clarke regular strongly pseudoconvex function. We prove that a global solution of the problem can be approximated by an exact or an inexact solution ...
Pierre Maréchal, Jane J. Ye
openaire +3 more sources
A General Condition Number for Polynomials [PDF]
SIAM Journal on Numerical Analysis, 2013 This paper presents a generic condition number for polynomials that is useful for polynomial evaluation of a finite series of polynomial basis defined by means of a linear recurrence. This expression extends the classical one for the power and Bernstein bases, but it also provides us a general framework for all the families of orthogonal polynomials ...
Roberto Barrio +2 more
openaire +3 more sources
Norms and inequalities for condition numbers [PDF]
Pacific Journal of Mathematics, 1965 Abstract : The condition number c sub phi of a nonsingular matrix A is defined by c sub phi (A) = phi (A) phi (A superscript -1) where ordinarily phi is a norm. It was shown by J. D. Riley that if A is positive definite, c sub phi (A + kI) = or 0 and phi squared (A) is the maximum eigenvalue of AA* or phi squared (A) = Tr AA*.
Marshall, Albert W., Olkin, Ingram
openaire +2 more sources
Minimizing the Euclidean Condition Number [PDF]
SIAM Journal on Control and Optimization, 1994 A convex optimization procedure to determine the scalings that minimize the Euclidean condition number of a matrix is presented. Numerical results are not given.
Braatz, Richard D., Morari, Manfred
openaire +2 more sources
The Condition Number of Riemannian Approximation Problems [PDF]
SIAM Journal on Optimization, 2021 We consider the local sensitivity of least-squares formulations of inverse problems. The sets of inputs and outputs of these problems are assumed to have the structures of Riemannian manifolds. The problems we consider include the approximation problem of finding the nearest point on a Riemannian embedded submanifold from a given point in the ambient ...
Breiding, Paul, Vannieuwenhoven, Nick
openaire +3 more sources
Solution of generalised type – 2 Fuzzy boundary value problem
Alexandria Engineering Journal, 2021 In this article, we proposed a new representation of type-2 fuzzy numbers called generalized type-2 fuzzy numbers. Dirichlet, Neumann and Mixed kind of boundary value problem have been considered with the boundary condition as generalized type-2 fuzzy ...
S. Tudu +5 more
doaj +1 more source
Counting algebraic numbers in short intervals with rational points
Журнал Белорусского государственного университета: Математика, информатика, 2019 In 2012 it was proved that real algebraic numbers follow a nonuniform but regular distribution, where the respective definitions go back to H. Weyl (1916) and A. Baker and W. Schmidt (1970).
Vasily I. Bernik +2 more
doaj +1 more source