Skip to main content

On Tridiagonal Sign Regular Matrices and Generalizations

  • Chapter
  • First Online:
Advances in Differential Equations and Applications

Part of the book series: SEMA SIMAI Springer Series ((SEMA SIMAI,volume 4))

Abstract

In this paper, some characterizations of strictly k–banded nonsingular sign regular matrices are presented and new sufficient conditions for the total positivity of tridiagonal matrices are provided.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Ando, T.: Totally positive matrices. Linear Algebra Appl. 90, 165–219 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  2. Barreras, A., Peña, J.M.: Characterizations of Jacobi sign regular matrices. Linear Algebra Appl. 436, 381–388 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  3. Cortés, V., Peña, J.M.: Required nonzero patterns for nonsingular sign regular matrices. Linear Algebra Appl. 432, 1990–1994 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  4. Horn, R.A., Johnson, C.R.: Matrix Analysis. Cambridge University Press, Cambridge (1985)

    Book  MATH  Google Scholar 

  5. Huang, R.: Sign structure preserves for m-banded factorizations of sign regular matrices. Linear Algebra Appl. 436, 1990–2000 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  6. Koev, P.: Accurate computations with totally nonnegative matrices. SIAM J. Matrix Anal. Appl. 29, 731–751 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  7. Peña, J.M.: Sign regular matrices of order two. Linear Multilinear A. 50, 91–97 (2002)

    Article  Google Scholar 

  8. Pinkus, A.: Totally Positive Matrices. Cambridge Tracts in Mathematics, vol. 181. Cambridge University Press, Cambridge (2010)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Álvaro Barreras .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Barreras, Á., Peña, J.M. (2014). On Tridiagonal Sign Regular Matrices and Generalizations. In: Casas, F., Martínez, V. (eds) Advances in Differential Equations and Applications. SEMA SIMAI Springer Series, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-319-06953-1_23

Download citation

Publish with us

Policies and ethics