Diagonal scaling of a special type and its benefits

Department of Mathematics and Informatics, Faculty of Science, University of Novi Sad, Trg D. Obradovica 4, Novi Sad21000, SerbiaFor certain subclasses of H-matrices we will exploit the structure of their scaling matrix to improve known results in severalareas of applied linear algebra: convergence theory of relaxation methods, estimation of infinity norm of the matrix inverseand determinant estimation.