Two inequalities for the Perron Root

Sharp Oracle Inequalities for Square Root Regularization

We study a set of regularization methods for high-dimensional linear regression models. These penalized estimators have the square root of the residual sum of squared errors as loss function, and any weakly decomposable norm as penalty function. This fit measure is chosen because of its property that the estimator does not depend on the unknown standard deviation of the noise. On the other hand...

On the Singularization of the Two-Dimensional Jacobi-Perron Algorithm

2000 AMS Subject Classification: Primary 11K50

the evaluation and comparison of two esp textbooks available on the iranian market for teaching english to the students of medicine

abstract this study evaluated and compared medical terminology and english for the students of medicine (ii) as two representatives of the textbooks available on the iranian market for teaching english to the students of medicine. this research was performed on the basis of a teacher’s and a number of students’ attitudes and the students’ needs analysis for two reasons: first, to investigate...

On an Iterative Procedure for Obtaining the Perron Root of a Positive Matrix

Two characterizations of matrices with the Perron-Frobenius property

Two characterizations of general matrices for which the spectral radius is an eigenvalue and the corresponding eigenvector is either positive or nonnegative are presented. One is a full characterization in terms of the sign of the entries of the spectral projector. In another case, different necessary and sufficient conditions are presented that relate to the classes of the matrix. These charac...