• Tidak ada hasil yang ditemukan

abs_vol17_pp287-303. 28KB Jun 04 2011 12:05:46 AM

N/A
N/A
Info
Unduh - Bebas
Protected

Academic year: 2017

Membagikan "abs_vol17_pp287-303. 28KB Jun 04 2011 12:05:46 AM"

Copied!
1
0
0

Memuat.... (Lihat teks lengkap sekarang)

Unduh sekarang ( 1 Halaman )

Teks penuh

(1)

ELA

NONNEGATIVE MATRICES WITH PRESCRIBED ELEMENTARY

DIVISORS

∗

RICARDO L. SOTO† AND JAVIER CCAPA†

Abstract. The inverse elementary divisor problem for nonnegative matrices asks for neces-sary and sufficient conditions for the existence of a nonnegative matrix with prescribed elementary divisors. In this work a Brauer type perturbation result is introduced. This result allows the con-struction, from a given a list of real or complex numbers Λ ={λ1, . . . , λn},of certain structured nonnegative matrices with spectrum Λ and with any legitimately prescribed elementary divisors.

Key words. Inverse elementary divisor problem, Nonnegative matrices.

AMS subject classifications.15A18, 15A51.

∗Received by the editors August 31, 2007. Accepted for publication June 2, 2008. Handling

Editor: Michael Neumann.

†Departamento de Matem´aticas, Universidad Cat´olica del Norte, Antofagasta, Casilla 1280, Chile

([email protected], [email protected]). Supported by Fondecyt 1050026, Fondecyt 1085125, and Mecesup UCN0202, Chile. Part of this work was done while the authors were visitingat UC3M, Madrid, Spain.

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 17, pp. 287-303, June 2008

Referensi

Unduh sekarang ( PDF - 1 Halaman - 28.08 KB )

Dokumen terkait

abs_vol17_pp337-350. 26KB Jun 04 2011 12:05:46 AM

In this article a fast computational method is provided in order to calculate the Moore-Penrose inverse of full rank m × n matrices and of square matrices with at least one zero row

abs_vol17_pp518-531. 28KB Jun 04 2011 12:05:46 AM

In this paper, lower bounds are provided for the dimensions of linearizations and strong linearizations of a given m × n matrix polynomial, and particular lineariza- tions

abs_vol18_pp462-481. 34KB Jun 04 2011 12:05:47 AM

Stochastic and doubly stochastic matrices are also constructed with a given spectrum and with any legitimately prescribed elementary divisors..

abs_vol19_pp129-140. 22KB Jun 04 2011 12:05:47 AM

result and known Perron-Frobenius theory of eventually nonnegative matrices are used to establish an algorithm to determine whether a matrix is strongly eventually nonnegative (i.e.,

abs_vol20_pp20-52. 28KB Jun 04 2011 12:05:48 AM

This paper considers the maximum value of the permanent over the class H (m, n) of n × n Hessenberg, (0, 1)-matrices with m 1’s, and shows that among those matrices that attain

abs_vol21pp63-75. 27KB Jun 04 2011 12:05:49 AM

purpose of this paper is to give some necessary and sufficient conditions for the existence and the representations of the group inverse of the block matrix A C..

vol10_pp46-59. 531KB Jun 04 2011 12:05:51 AM

In Section 3 it is shown that the same situation holds for the nonnegative P0-matrix completion problem, that is, a pattern for n × n matrices that includes all diagonal positions

vol22_pp214-224. 121KB Jun 04 2011 12:06:12 AM

Applying the properties of the Hadamard core for totally nonnegative matrices, we obtain the Schur complement inequalities for the Hadamard product of totally nonnegative