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Numerical Analysis and Applications

2014 year, number 3

On the full rank interval matrices

S.P. Shary
Institute of computationatl technologies SB RAS, pr. Lavrentjeva, 6, 630090, Novosibirsk, Russia
Keywords: интервальная матрица, полный ранг, признак полноранговости, interval matrix, full rank, full rank criteria

Abstract

For interval matrices, the paper considers the problem of determining whether a matrix has a full rank. We propose the full rank criterion that relies on the search for diagonal dominance as well as criteria based on pseudoinversion of the midpoint matrix and comparison of the midpoint and the radius matrices for the interval matrix under study.