Research Article

Doubly Stochastic Interval Matrices

Volume: 12 Number: 2 November 1, 2015
EN

Doubly Stochastic Interval Matrices

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.

Keywords

References

  1. [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.
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  3. [3] F. Bullo, J. Cortes, S. Martinez, Distributed Control of Robotic Networks, Applied Mathematics Series, Princeton University Press, (2009).
  4. [4] S. Hwang, S. Pyo, The Inverse Eigenvalue Problem for Symmetric Doubly Stochastic Matrices, Linear Algebra and Applied Mathematics, (2004), 379, 77-83.
  5. [5] L. Jaulin, M. Kieffer, O. Didrit, E. Walter, Applied Interval Analysis, Springer-Verlag London, Berlin, Heidelberg, (2001).
  6. [6] J. P. Merlet, Interval Analysis and Robotics, Springer Tracts in Advanced Robotics, (2011), 66, 147-156.
  7. [7] H. Minc, Nonnegative Matrices, A Wiley-Interscience Publication, New York, (1988).
  8. [8] R. E. Moore, Interval Analysis, Prentice-Hall, Englewood Cliffs, N.J., (1966).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

November 1, 2015

Submission Date

November 1, 2015

Acceptance Date

-

Published in Issue

Year 2015 Volume: 12 Number: 2

APA
Rivaz, A., Moghadam, M. M., & Zadeh, S. Z. (2015). Doubly Stochastic Interval Matrices. Cankaya University Journal of Science and Engineering, 12(2). https://izlik.org/JA35LE64MG
AMA
1.Rivaz A, Moghadam MM, Zadeh SZ. Doubly Stochastic Interval Matrices. CUJSE. 2015;12(2). https://izlik.org/JA35LE64MG
Chicago
Rivaz, Azim, M. Mohseni Moghadam, and S. Zangoei Zadeh. 2015. “Doubly Stochastic Interval Matrices”. Cankaya University Journal of Science and Engineering 12 (2). https://izlik.org/JA35LE64MG.
EndNote
Rivaz A, Moghadam MM, Zadeh SZ (November 1, 2015) Doubly Stochastic Interval Matrices. Cankaya University Journal of Science and Engineering 12 2
IEEE
[1]A. Rivaz, M. M. Moghadam, and S. Z. Zadeh, “Doubly Stochastic Interval Matrices”, CUJSE, vol. 12, no. 2, Nov. 2015, [Online]. Available: https://izlik.org/JA35LE64MG
ISNAD
Rivaz, Azim - Moghadam, M. Mohseni - Zadeh, S. Zangoei. “Doubly Stochastic Interval Matrices”. Cankaya University Journal of Science and Engineering 12/2 (November 1, 2015). https://izlik.org/JA35LE64MG.
JAMA
1.Rivaz A, Moghadam MM, Zadeh SZ. Doubly Stochastic Interval Matrices. CUJSE. 2015;12. Available at https://izlik.org/JA35LE64MG.
MLA
Rivaz, Azim, et al. “Doubly Stochastic Interval Matrices”. Cankaya University Journal of Science and Engineering, vol. 12, no. 2, Nov. 2015, https://izlik.org/JA35LE64MG.
Vancouver
1.Azim Rivaz, M. Mohseni Moghadam, S. Zangoei Zadeh. Doubly Stochastic Interval Matrices. CUJSE [Internet]. 2015 Nov. 1;12(2). Available from: https://izlik.org/JA35LE64MG