Bibliographic Details
| Title: |
AN ALGEBRAIC APPROACH O HE CONSTRUCTION OF POLYHEDRAL INVARIANT CONES. |
| Authors: |
Valcher, Maria Elena1 elena.valcher@unile.it, Farina, Lorenzo2 farina@dis.uniroma1.it |
| Source: |
SIAM Journal on Matrix Analysis & Applications. 2000, Vol. 22 Issue 2, p453-471. 19p. |
| Subjects: |
Polyhedra models, Radius (Geometry), Eigenvalues, Matrices (Mathematics), Polyhedral functions, Mathematics |
| Abstract: |
In this paper, based on algebraic arguments, a new proof of the spectral characterization of those real matrices that leave a proper polyhedral cone invariant [Trans. Amer. Math. Soc., 343 (1994), pp. 479–524] is given. The proof is a constructive one, as it allows us to explicitly obtain for every matrix A, which satisfies the aforementioned spectral requirements, an A-invariant proper polyhedral cone Κ. Some new results are also presented, concerning the way A acts on the cone Κ. In particular, Κ-irreducibility, Κ-primitivity, and Κ-positivity are fully characterized. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
