Advanced search
Publication Cover
Linear and Multilinear Algebra Volume 55, 2007 - Issue 2
Submit an article Journal homepage
217
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Bounds for the zeros of polynomials from matrix inequalities – II

Fuad Kittaneh Department of Mathematics, University of Jordan, Amman, JordanCorrespondence[email protected]
&
Khalid Shebrawi Faculty of Science and IT, Al-Balqa’ Applied University, Salt, Jordan
Pages 147-158 | Received 13 Sep 2005, Published online: 23 Nov 2006

References

  • Bhatia , R . 1997 . Matrix Analysis , New York : Springer-Verlag .
  • Cheung , WS and Ng , TW . A companion matrix approach to the study of zeros and critical points of a polynomial . Journal of Mathematical Analysis and Applications , (To appear)
  • Van den Driessche , P and Wimmer , HK . 1996 . Explicit polar decomposition of companion matrices . The Electronic Journal of Linear Algebra , 1 : 64 – 69 .
  • Fujii , M and Kubo , F . 1973 . Operator norms as bounds for roots of algebraic equations . Proceedings of the Japan Academy of Sciences , 49 : 805 – 808 .
  • Fujii , M and Kubo , F . 1993 . Buzano's inequality for roots of algebraic equations . Proceedings of the American Mathematical Society , 117 : 359 – 361 .
  • Horn , RA and Johnson , CR . 1985 . Matrix Analysis , Cambridge : Cambridge University Press .
  • Hou , JC and Du , HK . 1995 . Norm inequalities of positive operator matrices . Integral Equations Operator Theory , 22 : 281 – 294 .
  • Kittaneh , F . 1995 . Singular values of companion matrices and bounds on zeros of polynomials . SIAM Journal on Matrix Analysis and Applications , 16 : 333 – 340 .
  • Kittaneh , F . 2001 . Commutator inequalities associated with the polar decomposition . Proceedings of the American Mathematical Society , 130 : 1279 – 1283 .
  • Kittaneh , F . 2003 . Bounds for the zeros of polynomials from matrix inequalities . Archiv des Mathematik , 81 : 601 – 608 .
  • Kittaneh , F . 2003 . A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix . Studia Mathematica , 158 : 11 – 17 .
  • Kittaneh , F and Shebrawi , K . Some decomposition results for companion matrices . Journal of Mathematical Analysis and Applications , (To appear)
  • Linden , H . 1998 . Bounds for the zeros of polynomials from eigenvalues and singular values of some companion matrices . Linear Algebra and its Applications , 271 : 41 – 82 .
  • Linden , H . 2000 . Bounds for zeros of polynomials using traces and determinants . Seminarberichte Fachbereich Mathematik FeU Hagen. , 69 : 127 – 146 .
  • Marden , M . 1966 . Amer. Math. Soc. Surveys, , 2nd Edn , Vol. 3 , Providence, R.I : American Mathematical Society .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.