Operator norms as bounds for roots of algebraic equations

DOI10.3792/pja/1195519149zbMath0331.15020OpenAlexW2064528901MaRDI QIDQ4097426

Fumio Kubo, Masatoshi Fujii

Publication date: 1973

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195519149

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (15)

Estimates for the real and imaginary parts of the eigenvalues of matrices and applications ⋮ Numerical radius inequalities and estimation of zeros of polynomials ⋮ Numerical radius inequalities for operator matrices and applications to the polynomial eigenvalue problem ⋮ Estimations of the bounds for the zeros of polynomials using matrices ⋮ Bounds for the eigenvalues of matrix polynomials with commuting coefficients ⋮ Notes on some bounds for the zeros of polynomials ⋮ Spectral radius inequalities for sums of operators with an application to the problem of bounding the zeros of polynomials ⋮ On numerical radius of a matrix and estimation of bounds for zeros of a polynomial ⋮ Spectral radius inequalities for operator matrices with commuting entries ⋮ GENERALIZED AND NEW BOUNDS FOR THE ZEROS OF POLYNOMIALS ⋮ Bounds for the eigenvalues of monic matrix polynomials from numerical radius inequalities ⋮ Bounds and a majorization for the real parts of the zeros of polynomials ⋮ Bounds for the zeros of polynomials from matrix inequalities – II ⋮ Bounds for the zeros of polynomials from compression matrix inequalities ⋮ Containment regions for zeros of polynomials from numerical ranges of companion matrices

Cites Work

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