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- W1989223003 abstract "Abstract Let A ( p ) be a given ( n × n ) interval parametric matrix (the set of all ( n × n ) parametric matrices when the m-dimensional parameter vector p varies within a given interval vector p ) whose entries depend affine linearly on p. Also, let L denote the set of all real eigenvalues of the bundle ( A ( p ) , B ( p ) ) . In this paper, first the concept of regularity radius r ∗ ( A ( p ) ) of the interval parametric matrix A ( p ) is introduced. It is then shown that there exists certain relationship between the problem of establishing if α ∈ R belongs to L or not and the numerical value of the regularity radius of the interval parametric matrix A ( p ) - α B ( p ) . The results presented may be useful in designing a method for determining or assessing the set L." @default.
- W1989223003 created "2016-06-24" @default.
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- W1989223003 date "2014-05-01" @default.
- W1989223003 modified "2023-10-17" @default.
- W1989223003 title "Regularity radius and real eigenvalue range" @default.
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- W1989223003 doi "https://doi.org/10.1016/j.amc.2014.01.113" @default.
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