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Volumn 81, Issue 5, 2003, Pages 601-608

Bounds for the zeros of polynomials from matrix inequalities

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EID: 0348198332     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-003-0525-6     Document Type: Article
Times cited : (61)

References (17)
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    • Abdurakhmanov, A.A.1
  • 3
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    • Operator norms as bounds for roots of algebraic equations
    • M. FUJII and F. KUBO, Operator norms as bounds for roots of algebraic equations. Proc. Japan Acad. Sci. 49, 805-808 (1973).
    • (1973) Proc. Japan Acad. Sci. , vol.49 , pp. 805-808
    • Fujii, M.1    Kubo, F.2
  • 4
    • 84968495078 scopus 로고
    • Buzano's inequality and bounds for roots of algebraic equations
    • M. FUJII and F. KUBO, Buzano's inequality and bounds for roots of algebraic equations. Proc. Amer. Math. Soc. 117, 359-361 (1993).
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    • Fujii, M.1    Kubo, F.2
  • 9
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    • Norm inequalities of positive operator matrices
    • J. C. HOU and H. K. DU, Norm inequalities of positive operator matrices. Integral Equations Operator Theory 22, 281-294 (1995).
    • (1995) Integral Equations Operator Theory , vol.22 , pp. 281-294
    • Hou, J.C.1    Du, H.K.2
  • 10
    • 21844515195 scopus 로고
    • Singular values of companion matrices and bounds on zeros of polynomials
    • F. KITTANEH, Singular values of companion matrices and bounds on zeros of polynomials. SIAM J. Matrix Anal. Appl. 16, 333-340 (1995).
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16 , pp. 333-340
    • Kittaneh, F.1
  • 11
    • 0031065524 scopus 로고    scopus 로고
    • Norm inequalities for certain operator sums
    • F. KITTANEH, Norm inequalities for certain operator sums. J. Funct. Anal. 143, 337-348 (1997).
    • (1997) J. Funct. Anal. , vol.143 , pp. 337-348
    • Kittaneh, F.1
  • 12
    • 0036625204 scopus 로고    scopus 로고
    • Norm inequalities for sums of positive operators
    • F. KITTANEH, Norm inequalities for sums of positive operators. J. Operator Theory 48, 95-103 (2002).
    • (2002) J. Operator Theory , vol.48 , pp. 95-103
    • Kittaneh, F.1
  • 13
    • 0042913573 scopus 로고    scopus 로고
    • A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
    • F. KITTANEH, A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix. Studia Math. 158, 11-17 (2003).
    • (2003) Studia Math. , vol.158 , pp. 11-17
    • Kittaneh, F.1
  • 14
    • 0043029044 scopus 로고    scopus 로고
    • Bounds for the zeros of polynomials from eigenvalues and singular values of some companion matrices
    • H. LINDEN, Bounds for the zeros of polynomials from eigenvalues and singular values of some companion matrices. Linear Algebra Appl. 271, 41-82 (1998).
    • (1998) Linear Algebra Appl. , vol.271 , pp. 41-82
    • Linden, H.1
  • 15
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    • Numerical radii of some companion matrices and bounds for the zeros of polynomials. Analytic and Geometric Inequalities and Applications
    • Dordrecht
    • H. LINDEN, Numerical radii of some companion matrices and bounds for the zeros of polynomials. Analytic and Geometric Inequalities and Applications. Math. Appl. 478, 205-229, Dordrecht 1999.
    • (1999) Math. Appl. , vol.478 , pp. 205-229
    • Linden, H.1
  • 16
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    • Geometry of Polynomials
    • 2nd ed., Providence, R.I.
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    • Marden, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.