THE STRONG PERRON INTEGRAL

The Strong Perron Integral

In this paper, we study the strong Perron integral, and show that the strong Perron integral is equivalent to the McShane integral.

THE STRONG PERRON INTEGRAL IN THE n-DIMENSIONAL SPACE R

In this paper, we introduce the SP -integral and the SPα-integral defined on an interval in the n-dimensional Euclidean space Rn. We also investigate the relationship between these two integrals.

Matrix functions that preserve the strong Perron-Frobenius property

Ela Paths of Matrices with the Strong Perron-frobenius Property Converging to a given Matrix with the Perron-frobenius Property∗

A matrix is said to have the Perron-Frobenius property (strong Perron-Frobenius property) if its spectral radius is an eigenvalue (a simple positive and strictly dominant eigenvalue) with a corresponding semipositive (positive) eigenvector. It is known that a matrix A with the Perron-Frobenius property can always be the limit of a sequence of matrices A(ε) with the strong Perron-Frobenius prope...

Paths of matrices with the strong Perron-Frobenius property converging to a given matrix with the Perron-Frobenius property

A matrix is said to have the Perron-Frobenius property (strong Perron-Frobenius property) if its spectral radius is an eigenvalue (a simple positive and strictly dominant eigenvalue) with a corresponding semipositive (positive) eigenvector. It is known that a matrix A with the Perron-Frobenius property can always be the limit of a sequence of matrices A(ε) with the strong Perron-Frobenius prope...