On the Interoperability between Interval Software (2009)
Abstract. Building interval software interoperability can be a good solution when re-using high-quality legacy code or when accessing functionalities unavailable natively in one of the software. In...
Interval webComputing is a collection of dynamic interactive pages designed to make specialized interval computations and visualization widely accessible through web browsers. Discussed are the...
Generalizing BIAS Speci cations (2009)
Evgenija D. Popova, Christian P. Ullrich
Abstract: This paper generalizes the speci cation of Basic Interval Arithmetic Subroutines (BIAS) to support interval arithmetic on directed (i.e. proper and improper) intervals. This is due to our...
И Информатика, Секция Биоматематика, На Науките, Евгения Д. Попова, Evgenija D. Popova
Решаване на линейни системи чиито входни данни са рационални функции на интервални параметри
Generalizing BIAS Speci cations (2008)
Evgenija D. Popova, Christian P. Ullrich
Abstract: This paper generalizes the speci cation of Basic Interval Arithmetic Subroutines (BIAS) to support interval arithmetic on directed (i.e. proper and improper) intervals. This is due to our...
Generalization of a Parametric Fixed-Point Iteration (2008)
Based on new sufficient regularity conditions, Rump’s method for solving parametric interval linear systems is generalized which expands its scope of applicability over a class of co-called...
Abstract: Presented is webComputing – a general framework of mathematically oriented services including remote access to hardware and software resources for mathematical computations, and web...
On the Efficiency of Interval Multiplication Algorithms (2008)
In this paper we present the theoretical base for some modifications in interval multiplication algorithms. A diversity of proposed implementation approaches is summarized along with a discussion on...
STRONG REGULARITY OF PARAMETRIC INTERVAL MATRICES (2008)
We define strong regularity of a parametric interval matrix and give conditions that characterize it. The new conditions give a better estimation for regularity of a parametric matrix than the...
Bergische Universit "atWuppertal Parametric Fixed-Point Iteration Implemented in C-XSC (2008)
Evgenija D. Popova, Walter Kr "amer, Preprint Wissenschaftliches Rechnen/softwaretechnologie, Herausgeber Prof, Dr. W. Kr"amer, Dr. W. Hofschusterwissenschaftliches Rechnen/softwaretechnologie
This work was partially supported by DFG and the Bulgarian NationalScience Fund under grants No I-903/99 and MM-1301/2003.
Parametric Interval Linear Solver (2008)
Abstract. IntervalComputations‘LinearSystems ‘ is a Mathematica package supporting tools for solving parametric and non-parametric linear systems involving uncertainties. It includes a variety of...
ON THE SOLUTION OF PARAMETRISED LINEAR SYSTEMS (2008)
W. Kraemer, J. Wolff, Von Gudenberg, Evgenija D. Popova
Keywords: parameter dependent linear systems, fixed-point iteration, Gauss-Seidel iteration, generalised interval arithmetic, applications Abstract Considered are parametrised linear systems which...
Evgenija D. Popova, Walter Krämer, Wissenschaftliches Rechnen, Herausgeber Prof, Dr. W. Krämer, Dr. W. Hofschuster, ...
Abstract. Consider linear systems whose matrix and right-hand side vector depend affinelinearly on parameters varying within prescribed intervals. We present a C-XSC [9] implementation of a...
STRONG REGULARITY OF PARAMETRIC INTERVAL MATRICES (2008)
We define strong regularity of a parametric interval matrix and give conditions that characterize it. The new conditions give a better estimation for regularity of a parametric matrix than the...
On the Interoperability between Interval Software (2008)
The increased appreciation of interval analysis as a powerful tool for controlling round-off errors and modelling with uncertain data leads to a growing number of diverse interval software. Beside in...
ON THE SOLUTION OF PARAMETRISED LINEAR SYSTEMS (2007)
W. Kraemer, J. Wolff, Von Gudenberg, Evgenija D. Popova
Keywords: parameter dependent linear systems, fixed-point iteration, Gauss-Seidel iteration, generalised interval arithmetic, applications Abstract Considered are parametrised linear systems which...
Reliable Computing, 2, 2, 1996, pp. 161-166. Interval Operations Involving NaNs (2007)
Ten years ago IEEE standard [1] for floating-point arithmetic became official. Each IEEE floating-point format supports: its own set of finite real numbers, \Sigma1, two distinguished values +0 and...
Improved Solution Enclosures for Over- and Underdetermined Interval Linear Systems (2005)
Abstract. In this paper we discuss an inclusion method for solving rectangular (over- and under-determined) dense linear systems where the input data are uncertain and vary within given intervals. An...
Multiplication distributivity of proper and improper intervals. Reliable computing 7(2 (2001)
Abstract. The arithmetic on an extended set of proper and improper intervals presents algebraic completion of the conventional interval arithmetic allowing thus efficient solution of some interval...
All About Generalized Interval Distributive Relations. I. Complete Proof of the Relations. (2000)
The arithmetic on an extended set of proper and improper intervals presents algebraic completion of the conventional interval arithmetic allowing thus efficient solution of interval algebraic...
D.: All about Generalized Interval Distributive Relations (2000)
The arithmetic on an extended set of proper and improper intervals presents algebraic completion of the conventional interval arithmetic allowing thus e cient solution of interval algebraic problems....
D.: Algebraic Solutions to a Class of Interval Equations (1998)
Abstract: The arithmetic on the extended set of proper and improper intervals is an algebraic completion of the conventional interval arithmetic and thus facilitates the explicit solution of certain...
D.: Algebraic Solutions to a Class of Interval Equations (1998)
Abstract: The arithmetic on the extended set of proper and improper intervals is an algebraic completion of the conventional interval arithmetic and thus facilitates the explicit solution of certain...
Interval Operations Involving NaNs (1996)
Ten years ago IEEE standard [1] for oating-point arithmetic became o cial. Each IEEE oating-point format supports: its own set of nite real numbers, 1, two distinguished values +0 and;0 and a set of...
P.: A Generalization of BIAS Specification (1995)
Evgenija D. Popova, Christian P. Ullrich
Abstract: This paper generalizes the specification of Basic Interval Arithmetic Subroutines (BIAS) to support interval arithmetic on directed (i.e. proper and improper) intervals. This is due to our...
P.: A Generalization of BIAS Specification (1995)
Evgenija D. Popova, Christian P. Ullrich
Abstract: This paper generalizes the specification of Basic Interval Arithmetic Subroutines (BIAS) to support interval arithmetic on directed (i.e. proper and improper) intervals. This is due to our...
Extended Interval Arithmetic in IEEE Floating-Point Environment (1994)
This paper describes an implementation of a general interval arithmetic extension, which comprises the following extensions of the conventional interval arithmetic: (1) extension of the set of normal...