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On a nonnegative irreducible matrix that is similar to a positive matrix

100%

Loewy R.

Open Mathematics

2012

tom 10

nr 1

303-311

Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.

The higher rank numerical range of nonnegative matrices

88%

Aretaki A., Maroulas I.

Open Mathematics

2013

tom 11

nr 3

435-446

In this article the rank-k numerical range ∧k (A) of an entrywise nonnegative matrix A is investigated. Extending the notion of elements of maximum modulus in ∧k (A), we examine their location on the complex plane. Further, an application of this theory to ∧k (L(λ)) of a Perron polynomial L(λ) is elaborated via its companion matrix C L.

New bounds for the minimum eigenvalue ofM-matrices

88%

Wang F., Sun D.

Open Mathematics

2016

tom 14

nr 1

1007-1013

Some new bounds for the minimum eigenvalue of M-matrices are obtained. These inequalities improve existing results, and the estimating formulas are easier to calculate since they only depend on the entries of matrices. Finally, some examples are also given to show that the bounds are better than some previous results.

Ograniczanie wyników

3 Open Mathematics

1 Aretaki A.

1 Loewy R.

1 Maroulas I.

1 Sun D.

1 Wang F.

1 2016

1 2013

1 2012

Wyniki wyszukiwania

On a nonnegative irreducible matrix that is similar to a positive matrix

The higher rank numerical range of nonnegative matrices

New bounds for the minimum eigenvalue ofM-matrices