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Volumn 3, Issue , 2004, Pages 2745-2750

Inequalities and bounds for the zeros of polynomials using perron-frobenius and gerschgorin theories

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; PROBLEM SOLVING; SET THEORY; SYSTEM STABILITY; THEOREM PROVING;

EID: 8744300715     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/acc.2004.1383881     Document Type: Conference Paper
Times cited : (6)

References (15)
  • 4
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    • Geometry of polynomials
    • Providence, RI: American Mathematical Society
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    • (1966) Math. Surveys , vol.3
    • Marden, M.1
  • 5
    • 0030168998 scopus 로고    scopus 로고
    • A note on the circular pound of polynomial zeros
    • June
    • Yeong-Jeu Sun and Jer-Guang Hsieh, "A Note on the Circular Pound of Polynomial Zeros," IEEE Trans. Circuits Syst I, Vol. 43, No. 6, June 1996.
    • (1996) IEEE Trans. Circuits Syst I , vol.43 , Issue.6
    • Sun, Y.-J.1    Hsieh, J.-G.2
  • 7
    • 0024732301 scopus 로고
    • A note on a classical bound for the moduli of all zeros of polynomial
    • F. G. Boese and W. J. Luther, "A note on a classical bound for the moduli of all zeros of polynomial," IEEE Trans. Automat. Contr vol. 34, pp. 998-1001, 1989.
    • (1989) IEEE Trans. Automat. Contr , vol.34 , pp. 998-1001
    • Boese, F.G.1    Luther, W.J.2
  • 8
    • 0026131228 scopus 로고
    • On the largest modulus of polynomial zeros
    • E. Zeheb, "On the largest modulus of polynomial zeros," IEEE Trans. Circuits Syst., Vol. 38, pp. 333-337, 1991.
    • (1991) IEEE Trans. Circuits Syst. , vol.38 , pp. 333-337
    • Zeheb, E.1
  • 10
    • 0038588612 scopus 로고
    • On the location of the zeros of polynomial
    • B. Dan and N. K. Govil, "On the location of the zeros of polynomial." J. Approx. Theory, Vol. 24, pp. 78-82, 1978.
    • (1978) J. Approx. Theory , vol.24 , pp. 78-82
    • Dan, B.1    Govil, N.K.2
  • 12
    • 84968513754 scopus 로고
    • Perron-Frobenius theory and the zeros of polynomials
    • H. S. Wilf, Perron-Frobenius theory and the zeros of polynomials, Proc. Amer. Math. Soc., 12 (1961) 247-250.
    • (1961) Proc. Amer. Math. Soc. , vol.12 , pp. 247-250
    • Wilf, H.S.1
  • 13
    • 2442478910 scopus 로고
    • On the limits of the roots of an algebraic equation
    • T. Kojima, On the limits of the roots of an algebraic equation, Tohoku Math. J., (1) 11 (1917) 119-127.
    • (1917) Tohoku Math. J., (1) , vol.11 , pp. 119-127
    • Kojima, T.1
  • 14
    • 2442487180 scopus 로고
    • Uber die obere Schranke des absoluten Betrages der Wurzeln einer algebraischen Gleichen
    • M. Fujiwara, Uber die obere Schranke des absoluten Betrages der Wurzeln einer algebraischen Gleichen, Tohoku Math. J., (1) 10 (1916) 167-171.
    • (1916) Tohoku Math. J., (1) , vol.10 , pp. 167-171
    • Fujiwara, M.1
  • 15
    • 84966257139 scopus 로고
    • The rayleigh quotient iteration and some generalizations for non-normal matrices
    • B. N. Parlett, The Rayleigh Quotient Iteration and some generalizations for non-normal matrices, Mathematics of Computation 28 (1974), no. 127. pp:679-693.
    • (1974) Mathematics of Computation , vol.28 , Issue.127 , pp. 679-693
    • Parlett, B.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.