Add to ORKGInternational audienceWe establish several inequalities of log-majorization type, relating the moduli of the eigenvalues of a complex matrix or matrix polynomial with the tropical eigenvalues of auxiliary matrix polynomials. This provides bounds which can be computed by combinatorial means. We consider in particular structured matrices and obtain bounds depending on the norms of block submatrices and on the pattern (graph structure) of the matrix
Also available via the InternetSIGLEAvailable from British Library Document Supply Centre-DSC:6184.6...
summary:This paper is concerned with bounds of eigenvalues of a complex matrix. Both lower and upper...
Also arXiv:1601.00438International audienceWe establish general weak majorization inequalities, rela...
International audienceWe establish several inequalities of log-majorization type, relating the modul...
International audienceWe establish a log-majorization inequality, which relates the moduli of the ei...
Also arXiv:1304.2967 (2013)International audienceWe show that the sequence of moduli of the eigenval...
See also arXiv:1309.7319International audienceWe show that for all k = 1,...,n the absolute value of...
Abstract. The tropical roots of t×p(x) = max0≤i≤ ‖Ai‖xi are points at which the maximum is attaine...
The tropical roots of $tp(x) = \max_{0\le j\le d}\|A_j\|x^j$ are points at which the maximum is atta...
International audienceWe consider a matrix with entries over the field of Puiseux series, equipped w...
This paper provides a listing of techniques used to determine the eigenvalue bounds of a matrix defi...
AbstractThis work is concerned with eigenvalue problems for structured matrix polynomials, including...
Also available via the InternetSIGLEAvailable from British Library Document Supply Centre-DSC:6184.6...
summary:This paper is concerned with bounds of eigenvalues of a complex matrix. Both lower and upper...
Also arXiv:1601.00438International audienceWe establish general weak majorization inequalities, rela...
International audienceWe establish several inequalities of log-majorization type, relating the modul...
International audienceWe establish a log-majorization inequality, which relates the moduli of the ei...
Also arXiv:1304.2967 (2013)International audienceWe show that the sequence of moduli of the eigenval...
See also arXiv:1309.7319International audienceWe show that for all k = 1,...,n the absolute value of...
Abstract. The tropical roots of t×p(x) = max0≤i≤ ‖Ai‖xi are points at which the maximum is attaine...
The tropical roots of $tp(x) = \max_{0\le j\le d}\|A_j\|x^j$ are points at which the maximum is atta...
International audienceWe consider a matrix with entries over the field of Puiseux series, equipped w...
This paper provides a listing of techniques used to determine the eigenvalue bounds of a matrix defi...
AbstractThis work is concerned with eigenvalue problems for structured matrix polynomials, including...
Also available via the InternetSIGLEAvailable from British Library Document Supply Centre-DSC:6184.6...
summary:This paper is concerned with bounds of eigenvalues of a complex matrix. Both lower and upper...
Also arXiv:1601.00438International audienceWe establish general weak majorization inequalities, rela...