AbstractLet λ1 and α1 be respectively the eigenvalue of largest modulus and largest singular value of a linear operator A. Then A is called radial if |λ1| = α1. This paper is concerned with an examination of radial compound matrices. It turns out that the radial property for compound matrices is equivalent to an investigation of the case of equality in the classical inequalities of H. Weyl relating products of eigenvalues and singular values
Elsner L, Hershkowitz D, Schneider H. Bounds on norms of compound matrices and on products of eigenv...
AbstractGiven n×n complex matrices A, C, the C-numerical radius of A is the nonnegative quantity rc(...
Abstract. The extension of the Perron-Frobenius theory to real matrices without sign restriction use...
AbstractA simple algorithm is presented for computing the numerical radius of a complex matrix. It i...
AbstractLet A be a complex n×n matrix. We find lower bounds for its numerical radius r(A)=max{|x∗Ax|...
Let A: Cn → Cn be a linear operator. The numerical radius w(A) of A is defined by w(A) = sup ||x||=...
AbstractA necessary condition for Johnson's lower bound for the smallest singular value to hold with...
AbstractA simple algorithm is presented for computing the numerical radius of a complex matrix. It i...
AbstractLet A be an n × n complex matrix with singular values α1 ⩾ α2 ⩾ ⋯ ⩾ αn and eigenvalues λ1, λ...
AbstractIn this paper we characterize all nxn matrices whose spectral radius equals their spectral n...
AbstractThe spectral radius of a complex square matrix A is given by ρ(A) = lim supk → ∞ (TrAk)1/k. ...
AbstractLet bdM be Hn or Cn×n, the real linear space of all n × n hermitian matrices and the complex...
[[abstract]]Let m be a positive integer less than n, and let A B be n×n complex matrices. The mth A-...
Abstract. We prove an operator inequality which improves on either upper bound or lower bound of the...
AbstractThe spectral radius of a complex square matrix A is given by ρ(A) = lim supk → ∞ (TrAk)1/k. ...
Elsner L, Hershkowitz D, Schneider H. Bounds on norms of compound matrices and on products of eigenv...
AbstractGiven n×n complex matrices A, C, the C-numerical radius of A is the nonnegative quantity rc(...
Abstract. The extension of the Perron-Frobenius theory to real matrices without sign restriction use...
AbstractA simple algorithm is presented for computing the numerical radius of a complex matrix. It i...
AbstractLet A be a complex n×n matrix. We find lower bounds for its numerical radius r(A)=max{|x∗Ax|...
Let A: Cn → Cn be a linear operator. The numerical radius w(A) of A is defined by w(A) = sup ||x||=...
AbstractA necessary condition for Johnson's lower bound for the smallest singular value to hold with...
AbstractA simple algorithm is presented for computing the numerical radius of a complex matrix. It i...
AbstractLet A be an n × n complex matrix with singular values α1 ⩾ α2 ⩾ ⋯ ⩾ αn and eigenvalues λ1, λ...
AbstractIn this paper we characterize all nxn matrices whose spectral radius equals their spectral n...
AbstractThe spectral radius of a complex square matrix A is given by ρ(A) = lim supk → ∞ (TrAk)1/k. ...
AbstractLet bdM be Hn or Cn×n, the real linear space of all n × n hermitian matrices and the complex...
[[abstract]]Let m be a positive integer less than n, and let A B be n×n complex matrices. The mth A-...
Abstract. We prove an operator inequality which improves on either upper bound or lower bound of the...
AbstractThe spectral radius of a complex square matrix A is given by ρ(A) = lim supk → ∞ (TrAk)1/k. ...
Elsner L, Hershkowitz D, Schneider H. Bounds on norms of compound matrices and on products of eigenv...
AbstractGiven n×n complex matrices A, C, the C-numerical radius of A is the nonnegative quantity rc(...
Abstract. The extension of the Perron-Frobenius theory to real matrices without sign restriction use...
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