Interval Linear Algebra and Computational Complexity (original) (raw)

An Overview of Polynomially Computable Characteristics of Special Interval Matrices

Milan Hladík

Studies in Computational Intelligence, 2020

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On Some Properties of Interval Matrices

Ganesan Kandasamy

2007

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On a Refined Analysis of Some Problems in Interval Arithmetic Using Real Number Complexity Theory

Klaus Meer

Reliable Computing, 2004

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Detecting Unsolvability of Interval Linear Systems

Milan Hladík

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AE Regularity of Interval Matrices

Milan Hladík

The Electronic Journal of Linear Algebra, 2018

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On full-rank interval matrices

S. Shary

Numerical Analysis and Applications, 2014

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Solving Interval Linear Systems Is NP-Hard Even When All Inputs Are Known With the Same Accuracy

Ralph Kelsey

2013

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Computing the spectral decomposition of interval matrices and a study on interval matrix powers

Milan Hladík

Applied Mathematics and Computation, 2021

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Improved bounds for the spectrum of interval matrices

Majid Firouzbahrami

IET Control Theory & Applications, 2013

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Computing Enclosures of Overdetermined Interval Linear Systems

Milan Hladík

Cornell University - arXiv, 2013

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Solving Linear Systems Using Interval Arithmetic Approach

KARKAR NORA

2012

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Interval Linear Algebra

Florentin Smarandache

2010

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A note on checking regularity of interval matrices

J. Rohn

Linear and Multilinear Algebra, 1995

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On the range of eigenvalues of an interval matrix

J. Rohn

Computing, 1992

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Solvability of interval linear equations and data analysis under uncertainty

S. Shary

Automation and Remote Control, 2012

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New sufficient conditions for robust stability analysis of interval matrices

Ramtin Karimi

Systems & Control Letters, 2012

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Diagonal stability of interval matrices and applications

Mihaela Matcovschi

Linear Algebra and its Applications, 2010

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Method for the Solution of Interval Systems of Linear Equations

Sarangam Majumdar

International Journal of Advances in Applied Sciences, 2013

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Non-linear extension of interval arithmetic and exact resolution of interval equations over square regions

Giovanny Andrés

arXiv (Cornell University), 2020

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A New Sufficient Condition for Regularity of Interval Matrices

J. Rohn

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A Comparison of some Methods for Solving Linear Interval Equations

R. Kearfott

SIAM Journal on Numerical Analysis, 1997

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On Some Algebraic and Order-Theoretic Aspects of Machine Interval Arithmetic

Hend Dawood

Online Mathematics Journal, 2019

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Enclosing the solution set of overdetermined systems of interval linear equations

Lajos Gergó

2014

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Interval Computations and their

Nikolaj Glazunov

2003

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System of Linear Equations with Interval Coefficients

Nirupam Gupta

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A Computational Environment for Interval Matrices in C+

Chenyi Hu

2006

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Robustness analysis of interval matrices based on Kharitonov's theorem

M. Darouach

IEEE Transactions on Automatic Control, 1998

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Stability Analysis of the Interval Systems Based on Linear Matrix Inequalities

Navid Razmjooy, Vania V Estrela

Springer Nature, 2019

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A comparison of some methods for bounding connected and disconnected solution sets of interval linear systems

R. Kearfott

Computing, 2008

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Interval estimations of solution sets to real-valued systems of linear or non-linear equations

Miguel Sainz

Reliable computing, 2002

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Bounds on Real Eigenvalues and Singular Values of Interval Matrices

David Daney

Siam Journal on Matrix Analysis and Applications, 2010

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An Algorithm for the Real Interval Eigenvalue Problem

David Daney

2008

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