ISSN: 1573-1340
An open electronic journal devoted
to
mathematical computations with guaranteed
accuracy,
bounding of ranges, mathematical proofs based on
floating point arithmetic,
and other theory and applications of
interval arithmetic and directed rounding
Table of Contents (starting in 2010)
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Volume 14
Note: Not all content in Volume 14 conforms to the current
typographical style for this journal.
- Alexandre
Goldsztejn and Luc Jaulin, Inner Approximation of the Range of
Vector-Valued Functions, pp. 1-23, June 2010.
- Shinya
Miyajima, Takeshi Ogita, Siegfried M. Rump, and Shin'ichi Oishi.
Fast Verification for All Eigenpairs in Symmetric Positive Definite
Generalized Eigenvalue Problems, pp. 24-45, June 2010.
- B. M. Patre and
P. J. Deore, Robust State Feedback for Interval Systems: An
Interval Analysis Approach, pp. 46-60, June 2010.
- Juergen
Garloff, Karl L. E. Nickel (1924-2009), pp. 61-65, June 2010.
- Thomas Beelitz,
Bruno Lang, Peer Ueberholz, and Paul Willems, Closing the Case t =
3 for 3-D Spherical t-Designs Using a Result-Verifying Nonlinear
Solver, pp. 66-77, June 2010.
- Milan Hladík,
Solution Sets of Complex Linear Interval Systems of Equations, pp.
78-87, June 2010.
- Nacim Meslem,
Nacim Ramdani, and Yves Candau, Guaranteed Parameter Set Estimation
for Monotone Dynamical Systems Using Hybrid Automata, pp. 88-104,
June 2010.
- Stefania
Corsaro and Marina Marino, Archetypal Analysis of Interval Data,
pp. 105-116, June 2010.
- Shashwati Ray
and P. S. V. Nataraj, A New Strategy for Selecting Subdivision
Point in the Bernstein Approach to Polynomial Optimization, pp.
117-137, June 2010.
- Michael Zimmer,
Walter Kraemer, and Werner Hofschuster, Sparse Matrices and Vectors
in C-XSC, pp. 138-160, January 2011.
Volume 15 (Special volume devoted to materials presented at
SCAN'2008)
Guest editors: Martine Ceberio and Vladik
Kreinovich
Preface (Martine
Ceberio and Vladik Kreinovich)
Issue 1
- Rene Alt,
Jean-Luc Lamotte, and Svetoslav Markov, On the Accuracy of the
Solution of Linear Problems on the CELL Processor, pp. 1-12, May
2011.
- Miguel Argaez,
Solving Overdetermined Systems in lp Quasi-Norms, pp. 13-25, May
2011.
- Frithjof
Blomquist, Staggered Correction Computations with Enhanced Accuracy
and Extremely Wide Exponent Range, pp. 26-35, May 2011.
- Gerd Bohlender
and Ulrich Kulisch, Definition of the Arithmetic Operations and
Comparison Relations for an Interval Arithmetic, pp. 36-42, May
2011.
- Darrell Cheu
and Luc Longpre, Towards the Possibility of Objective Interval
Uncertainty in Physics, pp. 43-46, May 2011.
- Alexandre
Goldsztejn, Yahia Lebbah, Claude Michel, and Michel Rueher,
Capabilities of Constraint Programming in Safe Global Optimization,
pp. 47-59, May 2011.
- Karen
Villaverde and Gang Xiang, Estimating Variance under Interval and
Fuzzy Uncertainty: Parallel Algorithms, pp. 60-68, May 2011.
Issue 2
- Sandeep
Hattangady, William Edmonson, and Winser Alexander, Block Floating
Point Interval ALU for Digital Signal Processing, pp. 69-80, June
2011.
- Ivan Petkovic,
Computational Aspects of the Implementation of Disk Inversions, pp.
81-90, June 2011.
- Miodrag S.
Petkovic and Dusan M. Milosevic, Higher Order Methods for the
Inclusion of Multiple Zeros of Polynomials, pp. 91-108, June
2011.
- P. S. V.
Nataraj and M. Arounassalame, An Interval Newton Method Based on
the Bernstein Form for Bounding the Zeros of Polynomial Systems,
pp. 109-119, June 2011.
- Nguyen Hong
Diep and Nathalie Revol, Solving and Certifying the Solution of a
Linear System, pp. 120-131, June 2011.
- Andrzej Pownuk
and Naveen Kumar Goud Ramunigari, Application of Order-Preserving
Functions to the Modeling of Computational Mechanics Problems with
Uncertainty, pp. 132-143, June 2011.
- M. H. van
Emden, From Interval Arithmetic to Interval Constraints, pp.
144-155, June 2011.
- Naoya Yamanaka,
Masahide Kashiwagi, Shin'ichi Oishi, and Takeshi Ogita, A Note on a
Verified Automatic Integration Algorithm, pp. 156-167, June
2011.
Issue 3
- Joshua A.
Enszer and Mark A. Stadtherr, Verified Solution and Propagation of
Uncertainty in Physiological Models, pp. 168-178, July 2011.
- Sebastian
Kempken and Wolfram Luther, Verifed Factorization Methods for
SMP/G/1 Queueing Systems and their Interplay in an Integrated
Problem-Solving Environment, pp. 179-192, July 2011.
- Mariana
Kolberg, Walter Kraemer and Michael Zimmer, Efficient Parallel
Solvers for Large Dense Systems of Linear Interval Equations, pp.
193-206, July 2011.
- Bartlomiej
Jacek Kubica, Interval Methods for Solving Underdetermined
Nonlinear Systems, pp. 207-217, July, 2011.
- Tanja Magoc,
Martine Ceberio, and Francois Modave, Using Preference Constraints
to Solve Multi-Criteria Decision Making Problems, pp. 218-229, July
2011.
- Miguel Argaez,
Leticia Velazquez, Carlos Quintero, Hector Klie, and Mary Wheeler,
A Hybrid Algorithm for Global Optimization Problems, pp. 230-241,
July 2011.
- Julie Roy and
R. Baker Kearfott, Global Optimization and Singular Nonlinear
Programs: New Techniques, pp. 242-250, July 2011.
- P. S. V.
Nataraj and Shanta Sondur, The Extrapolated Taylor Model, pp.
251-278, July 2011.
- German Tischler
and Juergen Wolff von Gudenberg, Solving Decidability Problems with
Interval Arithmetic, pp. 279-289, July 2011.
Issue 4
- Lev Kapitanski
and Sanja Zivanovic, Dynamics with a Range of Choice, pp. 290-299,
July 2011.
- Tanja Magoc,
Xiaojing Wang, Francois Modave, and Martine Ceberio, Applications
of Fuzzy Measures and Intervals in Finance, pp. 300-311, July
2011.
- M. Nehmeier and
J. Wolff v. Gudenberg, filib++, Expression Templates and the Coming
Interval Standard, pp. 312-320, July 2011.
- Andreas Rauh,
Ekaterina Auer, Mareile Freihold, Eberhard P. Hofer, and Harald
Aschemann, Detection and Reduction of Overestimation in Guaranteed
Simulations of Hamiltonian Systems, pp. 321-332, July 2011.
- Andreas Rauh,
Johanna Minisini, Eberhard P. Hofer, and Harald Aschemann, Robust
and Optimal Control of Uncertain Dynamical Systems with
State-Dependent Switchings Using Interval Arithmetic, pp. 333-344,
July 2011.
- Irene A.
Sharaya and Sergey P. Shary, Tolerable Solution Set for Interval
Linear Systems with Constraints on Coefficients, pp. 345-357, July
2011.
- Sergey P.
Shary, On Nonnegative Interval Linear Systems and Their Solution,
pp. 358-369, July 2011.
- Andreas Rauh
and Ekaterina Auer, Verified Simulation of ODEs and DAEs in
ValEncIA-IVP, pp. 370-381, July 2011.
Volume 16
- Lubomir V.
Kolev, A Method for Determining the Regularity Radius of Interval
Matrices, pp. 1-26, July 2011.
- Milan Hladik
and Luc Jaulin, An Eigenvalue Symmetric Matrix Contractor, pp.
27-37, October 2011.
- Samiran
Karmakar and A. K. Bhunia, A Comparative Study of Different Order
Relations of Intervals, pp. 38-72, January 2012.
- lke Just and
Bruno Lang, A Success-Guided Selection of Expanded Systems for
Result-Verifying Nonlinear Solvers, pp. 73-83, March 2012.
- Peter Schodland
Arnold Neumaier, Continuity Notions for Multi-Valued Mappings with
Possibly Disconnected Images, pp. 84-101, March 2012.
- hinya Miyajima,
Componentwise Error Estimates for Solutions Obtained by Stationary
Iterative Methods, pp. 102-106, April 2012.
- Shinya
Miyajima, The Relation between Two Types of Error Bounds for
Computed Matrix Eigenvalues, pp. 107-113, April 2012.
- Stefan Kiel,
YalAA: Yet Another Library for Affine Arithmetic, pp. 114-129,
September 2012.
- Alexandre
Goldsztejn, Modal Intervals Revisited, Part 1: A Generalized
Interval Natural Extension, pp. 130-183, October 2012.
- Alexandre
Goldsztejn, Modal Intervals Revisited, Part 2: A Generalized
Interval Mean Value Extension, pp. 184-209, October 2012.
- Guenter Mayer,
On an Expression for the Midpoint and the Radius of the Product of
Two Intervals, pp. 210-224, October 2012.
- Mimica R.
Milosevic and Miodrag S. Petkovic, Ostrowski-Like Method for the
Inclusion of a Single Complex Polynomial Zero, pp. 225-238, October
2012.
- Pau Herrero,
Pantelis Georgiou, Christofer Toumazou, Benoit Delaunay, and Luc
Jaulin, An Efficient Implementation of the SIVIA Algorithm in a
High-Level Numerical Programming Language, pp. 239-251, October
2012.
- Jennifer
Harlow, Raazesh Sainudiin, and Warwick Tucker, Mapped Regular
Pavings, pp. 252-282, November 2012.
- E. de Weerdt,
E. van Kampen, Q. P. Chu, and J. A. Mulder, Polynomial Inclusion
Functions, pp. 283-307, November 2012.
- Chengpu Wang, A
New Uncertainty-Bearing Floating-Point Arithmetic, pp. 308-361,
December 2012.
Volume 17 (Special Issue on the Use of Bernstein Polynomials in
Reliable Computing: A Centennial Anniversary)
Guest
editors: Juergen Garloff and Andrew P. Smith
Preface (Juergen
Garloff and Andrew P. Smith)
Part 1: New Properties
- Jorge Delgado
and Juan Manuel Pena, Optimality of Bernstein Representations for
Computational Purposes, pp. 1-10, December 2012.
- Richard Leroy,
Convergence under Subdivision and Complexity of Polynomial
Minimization in the Simplicial Bernstein Basis, pp. 11-21, December
2012.
- Dominique
Michelucci, Sebti Foufou, and Arnaud Kubicki, On the Complexity of
the Bernstein Combinatorial Problem, pp. 22-33, December 2012.
- Anthony
Narkawicz, Juergen Garloff, Andrew P. Smith, and Cesar A. Munoz,
Bounding the Range of a Rational Function over a box, pp. 34-39,
December 2012.
- Shashwati Ray
and P. S. V. Nataraj, A Matrix Method for Efficient Computation of
Bernstein Coefficients, pp. 40-71, December 2012.
Part 2: Applications
- Szilvia Bela
and Bert Juttler, Real Root Approximation Using Fat Spheres, pp.
72-96, December 2012.
- Luis G. Crespo,
Daniel P. Giesy, and Sean P. Kenny, A Unifying Framework to
Uncertainty Quantification of Polynomial Systems Subject to
Aleatory and Epistemic Uncertainty, pp. 97-127, December 2012.
- Thao Dang and
Romain Testylier, Reachability Analysis for Polynomial Dynamical
Systems Using the Bernstein Expansion, pp. 128-152, December
2012.
- Coen C. de
Visser, Eric-Jan van Kampen, Q. Ping Chu, and J. A. Mulder,
Intersplines: A New Approach to Globally Optimal Multivariate
Splines Using Interval Analysis, pp. 153-191, December 2012.
- Sebti Foufou
and Dominique Michelucci, The Bernstein Basis and its Applications
in Solving Geometric Constraint Systems, pp. 192-208, December
2012.
- Anthony
Narkawicz and Cesar A. Munoz, Formal Verification of Conflict
Detection Algorithms for Arbitrary Trajectories, pp. 209-237,
December 2012.
Volume 18
- Marcin Michalak
and Vladik Kreinovich, Is it Possible to Have a Feasible
Enclosure-Computing Method Which Is Independent of the Equivalent
Form?, pp. 1-8, January 2013.
- Shinya
Miyajima, Fast Enclosure of Matrix Polynomials, pp. 9-14, January
2013.
- Raazesh
Sainudiin and Thomas York, An Auto-Validating, Trans-Dimensional,
Universal Rejection Sampler for Locally Lipschitz Arithmetical
Expressions, pp. 15-54, April 2013.
- Hao Jiang,
Housen Li, Lizhi Cheng, Roberto Barrio, Canbin Hu, and XiangkeL
iao, Accurate, Validated and Fast Evaluation of Bezier Tensor
Product Surfaces, pp. 55-72, May 2013.
- Madalina Erascu
and Hoon Hong, The Secant-Newton Map is Optimal Among Contracting
Quadratic Maps for Square Root Computation, pp. 73-81, May
2013.
- Maryam Shams
Solary, Finding the Smallest Eigenvalue by Properties of
Semidefinite Matrices, pp. 82-89, June 2013.
- Andrzej Pownuk,
Luc Longpre, and Vladik Kreinovich, Checking Monotonicity is
NP-Hard Even for Cubic Polynomials, pp. 90-96, July 2013.
- Raazesh
Sainudiin and Thomas Steinke, A Rigorous Extension of the
Schoenhage-Strassen Integer Multiplication Algorithm Using Complex
Interval Arithmetic, pp. 97-116, September 2013.
- Olivier
Mullier, Eric Goubault, Michel Kieffer, and Sylvie Putot, General
Inner Approximation of Vector-valued Functions, pp. 117-143,
November 2013.
- Benham Hashemi
and Hanieh Tavakolipour, A Non-Induced Interval Matrix Norm, pp.
144-146, November 2013.
- Pavel V.
Saraev, Interval Pseudo-Inverse Matrices and Interval Greville
Algorithm, pp. 147-156, December 2013.
Volume 19 (Special volume devoted to materials presented at
SCAN'2012)
Guest editors: Sergey Shary and George
Corliss
Issue 1
- Stepan Yu.
Gatilov, Efficient Angle Summation Algorithm for Point Inclusion
Test and Its Robustness, pp. 1-25.
- Elena K.
Kostousova, On Boundedness and Unboundedness of Polyhedral
Estimates for Reachable Sets of Linear Differential Systems, pp.
26-44.
- Tomoaki
Okayama, Error Estimates with Explicit Constants for Sinc
Quadrature and Sinc Indefinite Integration over Infinite Intervals,
pp. 45-65.
- Andreas Rauh,
Ramona Westphal, Harald Aschemann, and Ekaterina Auer, Exponential
Enclosure Techniques for the Computation of Guaranteed State
Enclosures in ValEncIA-IVP, pp. 66-90.
- Nathalie Revol
and Philippe Theveny, Parallel Implementation of Interval Matrix
Multiplication, pp. 91-106.
- Alexander V.
Prolubnikov, An Interval Approach to Pattern Recognition of
Numerical Matrices, pp. 107-119.
- Ilya B. Labutin
and Irina V. Surodina, Algorithm for Sparse Approximate Inverse
Preconditioners in the Conjugate Gradient Method, pp. 120-126.
Issue 2
- A. Minamihata,
K. Sekine, T. Ogita, and S. Oishi, Fast Verified Solutions of
Sparse Linear Systems with H-matrices, pp. 127-141.
- J. Horacek and
M. Hladik, Computing Enclosures of Overdetermined Interval Linear
Systems, pp. 142-155.
- Ekaterina Auer
and Stefan Kiel, Uses of Verified Methods for Solving Non-Smooth
Initial Value Problems, pp. 156-175.
- Dmitri Yu.
Lyudvin and Sergey P. Shary, Testing Implementations of PPS-methods
for Interval Linear Systems, pp. 176-196.
- Sergey I.
Kumkov and Yuliya V. Mikushina, Interval Approach to Identification
of Catalytic Process Parameters, pp. 197-214.
- Anatoly V.
Panyukov and Valentin A. Golodov, Computing Best Possible
Pseudo-Solutions to Interval Linear Systems of Equations, pp.
215-228.
Issue 3
- Dmitry Yu.
Nadezhin and Sergei I. Zhilin, JInterval Library: Principles,
Development, and Perspectives, pp. 229-247.
- Maxim I.
Pushkarev and Sergey A. Gaivoronsky, Maximizing Stability Degree of
Control Systems under Interval Uncertainty Using a Coefficient
Method, pp. 248-260.
- Luc Jaulin,
Outer Approximation of Attractors Using an Interval Quantization,
pp. 261-273.
- Boris S.
Dobronets and Olga A. Popova, Numerical Probabilistic Analysis
under Aleatory and Epistemic Uncertainty, pp. 274-289.
- Anatoly V.
Lakeyev, On Unboundedness of Generalized Solution Sets for Interval
Linear Systems, pp. 290-301.
- Stefan Kiel,
Ekaterina Auer, and Andreas Rauh, An Environment for Testing,
Verification and Validation of Dynamical Models in the Context of
Solid Oxide Fuel Cells, pp. 302-317.
- Alexander
Savchenko, Computation of Potential and Attraction Force of an
Ellipsoid, pp. 318-329.
Issue 4
- Andreas Rauh,
Luise Senkel, Thomas Doetschel, Harald Aschemann, and Ekaterina
Auer, Numerical Verification and Experimental Validation of Sliding
Mode Control Design for Uncertain Thermal SOFC Models, pp.
330-350.
- Vladimir V.
Dombrovskii and Elena V. Chausova, Model Predictive Control for
Linear Systems with Interval and Stochastic Uncertainties, pp.
351-360.
- Andreas Rauh,
Luise Senkel, Julia Kersten, and Harald Aschemann, Interval Methods
for Sensitivity-Based Model-Predictive Control of Solid Oxide Fuel
Cell Systems, pp. 361-384.
- Bartlomiej
Jacek Kubica, Excluding Regions Using Sobol Sequences in an
Interval Branch-and-Prune Method for Nonlinear Systems, pp.
385-397.
- Sethy Montan,
Christophe Denis, Jean-Marie Chesneaux, and Jean-Luc Lamotte,
Efficient Matrix Multiplication Based on Discrete Stochastic
Arithmetic, pp. 398-416.
- Anatoly V.
Panyukov, Scalability of Algorithms for Arithmetic Operations in
Radix Notation, pp. 417-434.
- Irene A.
Sharaya, Boundary Intervals Method for Visualization of Polyhedral
Solution Sets, pp. 435-467.
Volume 20
- Lyubomir V.
Kolev, Componentwise Determination of the Interval Hull Solution
for Linear Interval Parameter Systems, pp. 1-24, March 2014.
- Smita Tapaswini
and S.Chakraverty, New Midpoint-based Approach for the Solution of
n-th Order Differential Equations, pp. 25-44, April 2014.
- Siegfried M.
Rump, Verified Bounds for the p-Norm Condition Number, pp. 45-52,
June 2014.
- Alexandre
Goldsztejn and Arnold Neumaier, On the Exponentiation of Interval
Matrices, pp. 53-72, October 2014.
- Florian
Buenger, A Note on the Boundary Shape of Matrix Polytope Products,
pp. 73-88, October 2014.
- Shinya
Miyajima, Fast Enclosure for Solutions of Generalized Least Squares
Problems, pp. 89-112, February 2015.
- Obituary: Irene
Sharaya (1962-2015) (by Sergey P. Shary), pp. 113-114, March
2015.
Volume 21
- Joe Lorkowski,
Olga Kosheleva, Luc Longpre, and Vladik Kreinovich, When Can We
Reduce Multi-Variable Range Estimation Problems to Two
Fewer-Variable Problems?, pp. 1-10, August 2015.
- Md. Abu
Talhamainuddin Ansary and Geetanjali Panda, Higher Order Root
Finding Algorithm using Interval Analysis, pp. 11-24, September
2015.
- Jiri Rohn, The
Solution Set of Interval Linear Equations is Homeomorphic to the
Unit Cube: An Explicit Construction, pp. 25-34, November 2015.
- Pacome
Eberhart, Julien Brajard, Pierre Fortin, and Fabienne Jezequel,
High Performance Numerical Validation using Stochastic Arithmetic,
pp. 35-52, December 2015.
- Federica Gioia,
Capital Asset Pricing Model Using Regression Methods for
Interval-Valued Variables, pp. 53-73, May 2016.
- Florian Buenger
and Siegfried M. Rump, A Short Note on the Convexity of Interval
Matrix-Vector Products, pp. 74-79, June 2016.
- Svetoslav
Markov, On the Algebra of Intervals, pp. 80-108, June 2016.
- Gerd Heindl,
Generalizations of Theorems of Rohn and Vrahatis, pp. 109-116,
September 2016.
- Stef Graillat,
Fabienne Jezequel, and Moustadrani Said Ibrahim, Dynamical Control
of Newton's Method for Multiple Roots of Polynomials, pp. 117-139,
October 2016.
- Jiri Rohn,
Theoretical Characterization of Enclosures, pp. 140-145, October
2016.
Volume 22 (Special issue devoted to material presented at SWIM
2015)
Guest editors: Milan Hladik, Luc Jaulin, and Nacim
Ramdami
- Juergen
Garloff, Mohammad Adm, and Jihad Titi, A Survey of Classes of
Matrices Possessing the Interval Property and Related Properties,
pp. 1-14, January 2016.
- Sergey I.
Kumkov, An Estimation Problem of Chemical Process with Confluent
Parameters: An Interval Approach, pp. 15-25, March 2016.
- Lubomir Kolev,
A Class of Iterative Methods for Determining p-Solutions of Linear
Interval Parametric Systems, pp. 26-46, May 2016.
- Luc Jaulin,
Inner and Outer Set-Membership State Estimation, pp. 47-55, June
2016.
- Julien
Alexandre dit Sandretto and Alexandre Chapoutot, Validated
Simulation of Differential Algebraic Equations with Runge-Kutta
Methods, pp. 56-77, July 2016.
- Julien
Alexandre dit Sandretto and Alexandre Chapoutot, Validated Explicit
and Implicit Runge-Kutta Methods, pp. 79-103, July 2016.
- Elif Garajova
and Martin Meciar, Solving and Visualizing Nonlinear Set Inversion
Problems, pp. 104-115, July 2016.
- M. Laranjeira,
L. Jaulin, and S. Tauvry, Building Underwater Mosaics Using
Navigation Data and Feature Extraction, pp. 116-137, August 2016.
- D. Monnet, J.
Ninin, and L. Jaulin, Computing an Inner and an Outer Approximation
of the Viability Kernel, pp. 138-148, September 2016.
Volume 23 (Special issue in honor of Ray Moore, 1929-2015)
- Preface, p.
1.
- Ramon Moore:
Short biography, and recollections from close associates, pp.
2-14.
- Nedialko S.
Nedialkov, Kenneth R. Jackson, and Markus Neher, On the Blunting
Method in Verified Integration of ODEs, pp. 15-34, July 2016.
- L. Jaulin, B.
Desrochers, and D. Masse, Bisectable Abstract Domains for the
Resolution of Equations Involving Complex Numbers, pp. 35-46, July
2016.
- Naijia Xiao,
Francesco Fedele, and Rafi L. Muhanna, Interval-Based Parameter
Identification for Structural Static Problems, pp. 47-72, July
2016.
- Kiyotaka
Yamamura and Suguru Ishiguro, Finding All Solution Sets of
Piecewise-Linear Interval Equations Using Integer Programming, pp.
73-96, July 2016.
- Vladik
Kreinovich, Standing on the Shoulders of the Giants: Why
Constructive Mathematics, Probability Theory, Interval Mathematics,
and Fuzzy Mathematics Are Important, pp. 97-104, July 2016.
- Vladik
Kreinovich and Sergey P. Shary, Interval Methods for Data Fitting
under Uncertainty: A Probabilistic Treatment, pp. 105-140, July
2016.
- Ulrich Kulisch
and Gerd Bohlender, High Speed Associative Accumulation of
Floating-point Numbers and Floating-point Intervals, pp. 141-153,
July 2016.
- Louis B. Rall,
Interval Divided-Difference Arithmetic, pp. 154-162, July 2016.
- Alexandre
Goldsztejn and Daisuke Ishii, A Parallelotope Method for Hybrid
System Simulation, pp. 163-185, July 2016.
Volume 24 (2017)
- Jiri Rohn,
An Explicit Enclosure of the Solution Set of Overdetermined
Interval Linear Equations, pp. 1-10, February 2017.
- Olivier Mullier
and Estelle Courtial, Set-Membership Computation of Admissible
Controls for Trajectory Tracking, pp. 11-26, April 2017.
- Vladik
Kreinovich and Olga Kosheleva, The Range of a Continuous Functional
Under Set-Valued Uncertainty is Always an Interval, pp. 27-30, May
2017.
- Shinya
Miyajima, Verified Solutions of Inverse Symmetric Eigenvalue
Problems, pp. 31-44, September 2017.
Volume 25 (Special volume containing refereed papers from
SCAN2016)
Guest editors: Vladik Kreinovich and Warwick
Tucker
- Pedro A.
Barragan Olague and Vladik Kreinovich, Why Superellipsoids: A
Probability-Based Explanation, pp. 1-7, May 2017.
- Mahdokht
Michelle Afravi and Vladik Kreinovich, Decision Making Under
Interval Uncertainty as a Natural Example of a Quandle, pp. 8-14,
May 2017.
- Yuka Kobayashi,
Takeshi Ogita, and Katsuhisa Ozaki, Acceleration of a
Preconditioning Method for Ill-Conditioned Dense Linear Systems by
Use of a BLAS-based Method, pp. 15-23, June 2017.
- Jihad Titi and
Juergen Garloff, Fast Determination of the Tensorial and Simplicial
Bernstein Forms of Multivariate Polynomials and Rational Functions,
pp. 24-37, June 2017.
- Stef Graillat,
Clothilde Jeangoudoux, and Christoph Lauter, MPDI: A Decimal
Multiple-Precision Interval Arithmetic Library, pp. 38-52, July
2017.
- Sam Karhbet and
Ralph Baker Kearfott, Range Bounds of Functions over Simplices, for
Branch and Bound Algorithms, pp. 53-73, July 2017.
- Akitoshi
Takayasu, Makoto Mizuguchi, Takayuki Kubo, and Shin'ichi Oishi,
Accurate Method of Verified Computing for Solutions of Semilinear
Heat Equations, pp. 74-99, July 2017.
- Andreas Rauh,
Susann Tiede and Cornelia Klenke, An Interval-Based Algorithm for
Feature Extraction from Speech Signals, pp. 100-117, August
2017.
- Andreas Rauh,
Julia Kersten and Harald Aschemann, Toward the Optimal
Parameterization of Interval-Based Variable-Structure State
Estimation Procedures, pp. 118-132, August 2017.
- Andreas Rauh,
Julia Kersten and Harald Aschemann, Interval-Based Identification
of Friction and Hysteresis Models, pp. 133-147, August 2017.
- Katsuhisa Ozaki
and Takeshi Ogita, Generation of Linear Systems with Specified
Solutions for Numerical Experiments, pp. 148-167, August 2017.
- Takehiko
Kinoshita, Yoshitaka Watanabe, and Mitsuhiro T. Nakao, Validated
Constructive Error Estimations for Biharmonic Problems, pp.
168-177, August 2017.
- Julien
Alexandre dit Sandretto, Runge–Kutta Theory and Constraint
Programming, pp. 178-201, August 2017.
- Takuma Kimura,
Teruya Minamoto, and Mitsuhiro T. Nakao, Optimal Order Constructive
a Priori Error Estimates for a Full Discrete Approximation of the
Heat Equation, pp. 202-212, September 2017.
Volume 26 (2018)
- Mohammad
Keyanpour, Maryam Mohaghegh Tabar, and Weldon A. Lodwick, A
Solution Algorithm for a System of Interval Linear Equations Based
on theConstraint Interval Point of View, pp. 1-12, February
2018.
- Remi Imbach,
Guillaume Moroz, and Marc Pouget, Reliable Location with Respect to
the Projection of a Smooth SpaceCurve, pp. 13-55, May 2018.
- Commentary / Tutorial: Siegfried M. Rump,
Linear Systems in Matlab with Zero Residual, pp. 56-66, June
2018.
- Benyamin
M.-Alizadeh, Sajjad Rahmany, and Abdolali Basiri, Interval Grobner
System and its Applications, pp. 67-96, June 2018.
- Gotz Alefeld and
Gerhard Heindl, A Fixed Point Theorem Based on a Modified
Midpoint-Radius Interval Arithmetic, pp. 97-108, December 2018.
Volume 27 (2020)
- Raphael Voges,
Bernardo Wagner, and Vladik Kreinovich, Efficient Algorithms for
Synchronizing Localization Sensors under Interval Uncertainty, pp.
1-11, June 2020.
- Raphael Voges,
Bernardo Wagner, and Vladik Kreinovich, Odometry under Interval
Uncertainty: Towards Optimal Algorithms with Potential Application
to Self-Driving Cars and Mobile Robots, pp. 12-20, June 2020.
- Miodrag S.
Petkovic, Contribution of Mihailo Petrovic to the Development of
Interval Arithmetic and Computation with Numerical Intervals, pp.
21-25, July 2020.
- R. Kobayashi,
M. Lange, A. Minamihata, and S. M. Rump, Verified Inclusion of a
Basis of the Null space, pp. 26-41, July 2020.
- Bastien Vincke,
Zhan Wang, Alain Lambert, and Abdelhafid Elouardi, Constraint
Propagation Based Approach for Simultaneous Localization and
Mapping of Mobile Robots, pp. 42-62, July 2020.
- Sebastien
Lengagne, Rawan Kalawoun, Francois Bouchon, and Youcef Mezouar.
Reducing Pessimism in Interval Analysis using BSplines Properties:
Application to Robotics, pp. 63-87, July 2020.
Volume 28 (2021)
- Olga G. Kantor,
Svetlana A. Mustafina, Albina S. Ismagilova, Efim M. Bronshtein,
Sergey P. Shary, Sergey I. Kumkov, Nikolai M. Oskorbin, Sergei I.
Zhilin, Boris S. Dobronets, and Grigory Spivak. Semen I. Spivak
(1945-2020), pp. 1-3, January 2021.
- Olga Kosheleva
and Vladik Kreinovich. Euclidean Distance Between Intervals Is the
Only Representation-Invariant One, pp. 4-9, June 2021.
- Tahea Hossain,
Jonathan Rivera, Yash Sharma, and Vladik Kreinovich. How to Extend
Interval Arithmetic So That Inverse and Division Are Always
Defined, pp. 10-23, June 2021.
- Olga Kosheleva,
Vladik Kreinovich, and Jonatan Contreras. Which Classes of
Bi-Intervals Are Closed Under Addition? Under Linear Combination?
Under Other Operations?, pp. 24-35, June 2021.
- Olga Kosheleva
and Vladik Kreinovich. Realistic Intervals of Degrees of
Confidence, pp. 36-42, June 2021.
- Vladik
Kreinovich and Olga Kosheleva. Approximate Version of Interval
Computation Is Still NP-Hard, pp. 43-48, June 2021.
- Olga Kosheleva
and Vladik Kreinovich. Use of Grothendieck Inequality in Interval
Computations: Quadratic Terms are Estimated Accurately Modulo a
Constant Factor, pp. 49-55, June 2021.
- Juergen
Garloff, Doaa Al-Saafin, and Mohammad Adm. Further Matrix Classes
Possessing the Interval Property, pp. 56-70, June 2021.
- Vladik
Kreinovich and Olga Kosheleva. Which Interval Is the Closest to a
Given Set?, pp. 71-77, June 2021.
- Ralph Kelsey
and Vladik Kreinovich. Computing the United Solution Set to an
Interval Linear System Is NP-Hard -- Even When All Coefficients Are
Known With the Same Accuracy, pp. 78-84, June 2021.
- Olga Kosheleva,
Vladik Kreinovich, and Songsak Sriboonchitta. Simplest Polynomial
for Which Naive (Straightforward) Interval Computations Cannot Be
Exact, pp. 85-93, June 2021.
- Olga Kosheleva
and Vladik Kreinovich. Why Hausdorff Distance Is Natural in
Interval Computations, pp. 94-99, June 2021.
- Hani Dbouk,
Steffen Schoen, Ingo Neumann, and Vladik Kreinovich. How to Detect
Possible Additional Outliers: Case of Interval Uncertainty, pp.
100-106, June 2021.
- Richard G. Everitt.
Interval Methods For Improving The Efficiency Of Monte Carlo, pp. 107-133, October 2021.
Volume 29 (2022)
- Vladik
Kreinovich. Interval-Related Talks at Econometric Conferences
TES'2022 and ECONVN'2022, pp. 1-3, January 2022.
- Joris Tillet, Luc Jaulin, Fabrice Le Bars, and Reda Boukezzoula.
A Fuzzy Set Estimation Using Interval Contractors: Application to Localization, pp. 4-25, February 2022.
- Martine Ceberio
and Vladik Kreinovich. Interval Papers at the 2022 Annual
Conference of the North American Fuzzy Information Processing
Society NAFIPS'2022, pp. 26-28, June 2022.
- Martine Ceberio
and Vladik Kreinovich. Interval-Related Papers at the 19th
International Conference on Information Processing and Management
of Uncertainty in Knowledge-Based Systems IPMU'2022, pp. 29-32,
July 2022.
- Martine Ceberio
and Vladik Kreinovich. Interval-Related Papers at the 2022 IEEE
World Congress on Computational Intelligence IEEE WCCI'2022, pp.
33-36, July 2022.
Volume 30 (2023)
Volume 31 (2024)