Inner estimation of the parametric tolerable solution set

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Inner estimation of the parametric tolerable solution set

We consider a linear algebraic system A(p)x = b(q), where the elements of the matrix and the right-hand side vector are linear functions of uncertain parameters varying within given intervals. The linear tolerance problem for the so-called parametric tolerable solution set Σtol(A(p), b(q), [p], [q]) = {x ∈ Rn | (∀p ∈ [p])(∃q ∈ [q])(A(p)x = b(q))} requires an inner estimation of this solution se...

متن کامل

Inner Estimation of Linear Parametric Ae-solution Sets

Abstract We consider linear algebraic systems A(p)x = b(p), where the elements of the matrix and the right-hand side vector are linear functions of uncertain parameters varying within given intervals. For the parametric AE-solution set defined for two disjoint index sets A, E by ΣpAE := {x ∈ R n | (∀pA ∈ [pA]) (∃pE ∈ [pE ])(A(p)x = b(p))}, an inner interval estimation [y] ⊆ Σ p AE is sought. In...

متن کامل

Inner and Outer Bounds for the Solution Set of Parametric Linear Systems

Consider linear systems involving affine-linear dependencies on interval parameters. Presented is a free C-XSC software implementing a generalized parametric fixed-point iteration method for verified enclosure of the parametric solution set. Some specific features of the corresponding algorithm concerning sharp enclosure of the contracting matrix and inner approximation of the solution enclosur...

متن کامل

Inner estimation of the united solution set of interval linear algebraic system

We will denote intervals and interval vectors by Latin letters a, b, e . . . . (with or without index), interval matrices by capital Latin letters A, B, C , . . . Real vectors and matrices will be denoted by Latin letters with lower dots q, .b,e.,..., A., B., C . , . . . Endpoints of intervals and of interval vectors will be denoted by a_, ~ (lower and upper endpoims, respectively), real n u m ...

متن کامل

Enclosures for the solution set of parametric interval linear systems

We investigate parametric interval linear systems of equations. The main result is a generalization of the Bauer–Skeel and the Hansen–Bliek–Rohn bounds for this case, comparing and refinement of both. We show that the latter bounds are not provable better, and that they are also sometimes too pessimistic. The presented form of both methods is suitable for combining them into one to get a more e...

متن کامل

ذخیره 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: Computers & Mathematics with Applications

سال: 2013

ISSN: 0898-1221

DOI: 10.1016/j.camwa.2013.04.007