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Doubly Stochastic Interval Matrices

Year 2015, Volume: 12 Issue: 2, - , 01.11.2015

Abstract

Interval matrices have many applications in intelligent engineering problems such as robotics
in computer science. In this paper, we will first describe the concepts of interval matrices. Next, we will
introduce a new class of interval matrices, namely, doubly stochastic interval matrices. Finally, we will
present some properties of this new class of matrices.

References

  • [1] H. R. Arndt, On Interval Systems [x] = [A][x] + [b] and the Powers of Interval Matrices in Complex Interval Arithmetics, Reliable Computing, (2007), 13, 245-259.
  • [2] H. Atrianfar, M. Haeri, Average Consensus in Networks of Dynamic Multi-agents with Switching Topology: Infinite Matrix Products, ISA Transactions, (2012), 51(4), 522-530.
  • [3] F. Bullo, J. Cortes, S. Martinez, Distributed Control of Robotic Networks, Applied Mathematics Series, Princeton University Press, (2009).
  • [4] S. Hwang, S. Pyo, The Inverse Eigenvalue Problem for Symmetric Doubly Stochastic Matrices, Linear Algebra and Applied Mathematics, (2004), 379, 77-83.
  • [5] L. Jaulin, M. Kieffer, O. Didrit, E. Walter, Applied Interval Analysis, Springer-Verlag London, Berlin, Heidelberg, (2001).
  • [6] J. P. Merlet, Interval Analysis and Robotics, Springer Tracts in Advanced Robotics, (2011), 66, 147-156.
  • [7] H. Minc, Nonnegative Matrices, A Wiley-Interscience Publication, New York, (1988).
  • [8] R. E. Moore, Interval Analysis, Prentice-Hall, Englewood Cliffs, N.J., (1966).
  • [9] A. Neumaier, Interval Methods for System of Equations, Cambridg University press, (1990).
  • [10] Rohn J., A Handbook of Results on Interval Linear Problems, (2005), URL: http://www.cs.cas.cz/rohn/handbook/.
Year 2015, Volume: 12 Issue: 2, - , 01.11.2015

Abstract

References

  • [1] H. R. Arndt, On Interval Systems [x] = [A][x] + [b] and the Powers of Interval Matrices in Complex Interval Arithmetics, Reliable Computing, (2007), 13, 245-259.
  • [2] H. Atrianfar, M. Haeri, Average Consensus in Networks of Dynamic Multi-agents with Switching Topology: Infinite Matrix Products, ISA Transactions, (2012), 51(4), 522-530.
  • [3] F. Bullo, J. Cortes, S. Martinez, Distributed Control of Robotic Networks, Applied Mathematics Series, Princeton University Press, (2009).
  • [4] S. Hwang, S. Pyo, The Inverse Eigenvalue Problem for Symmetric Doubly Stochastic Matrices, Linear Algebra and Applied Mathematics, (2004), 379, 77-83.
  • [5] L. Jaulin, M. Kieffer, O. Didrit, E. Walter, Applied Interval Analysis, Springer-Verlag London, Berlin, Heidelberg, (2001).
  • [6] J. P. Merlet, Interval Analysis and Robotics, Springer Tracts in Advanced Robotics, (2011), 66, 147-156.
  • [7] H. Minc, Nonnegative Matrices, A Wiley-Interscience Publication, New York, (1988).
  • [8] R. E. Moore, Interval Analysis, Prentice-Hall, Englewood Cliffs, N.J., (1966).
  • [9] A. Neumaier, Interval Methods for System of Equations, Cambridg University press, (1990).
  • [10] Rohn J., A Handbook of Results on Interval Linear Problems, (2005), URL: http://www.cs.cas.cz/rohn/handbook/.
There are 10 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

Azim Rivaz

M. Mohseni Moghadam

S. Zangoei Zadeh This is me

Publication Date November 1, 2015
Published in Issue Year 2015 Volume: 12 Issue: 2

Cite

APA Rivaz, A., Moghadam, M. M., & Zadeh, S. Z. (2015). Doubly Stochastic Interval Matrices. Cankaya University Journal of Science and Engineering, 12(2).
AMA Rivaz A, Moghadam MM, Zadeh SZ. Doubly Stochastic Interval Matrices. CUJSE. November 2015;12(2).
Chicago Rivaz, Azim, M. Mohseni Moghadam, and S. Zangoei Zadeh. “Doubly Stochastic Interval Matrices”. Cankaya University Journal of Science and Engineering 12, no. 2 (November 2015).
EndNote Rivaz A, Moghadam MM, Zadeh SZ (November 1, 2015) Doubly Stochastic Interval Matrices. Cankaya University Journal of Science and Engineering 12 2
IEEE A. Rivaz, M. M. Moghadam, and S. Z. Zadeh, “Doubly Stochastic Interval Matrices”, CUJSE, vol. 12, no. 2, 2015.
ISNAD Rivaz, Azim et al. “Doubly Stochastic Interval Matrices”. Cankaya University Journal of Science and Engineering 12/2 (November 2015).
JAMA Rivaz A, Moghadam MM, Zadeh SZ. Doubly Stochastic Interval Matrices. CUJSE. 2015;12.
MLA Rivaz, Azim et al. “Doubly Stochastic Interval Matrices”. Cankaya University Journal of Science and Engineering, vol. 12, no. 2, 2015.
Vancouver Rivaz A, Moghadam MM, Zadeh SZ. Doubly Stochastic Interval Matrices. CUJSE. 2015;12(2).