On the spectra of close-to-Schwarz matrices

Elsner L, Hershkowitz D (2003)
In: Linear Algebra and its Applications. Linear Algebra and its Applications, 363. ELSEVIER SCIENCE INC: 81-88.

Konferenzbeitrag | Veröffentlicht | Englisch
 
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Autor*in
Elsner, LudwigUniBi; Hershkowitz, Daniel
Abstract / Bemerkung
Several inverse eigenvalue problems for tridiagonal matrices are discussed. In particular, it is shown that for every set S of n complex numbers which is symmetric with respect to the real axis, there exists a symmetric in modulus tridiagonal n x n matrix A which has a nonnegative super diagonal, a nonpositive subdiagonal, all diagonal elements zero except for a I I which is nonnegative and an, which is nonpositive, and with spectrum S. (C) 2002 Elsevier Science Inc. All fights reserved.
Stichworte
spectrum; Schwarz; Jacobi matrix; inverse eigenvalue problem; tridiagonal matrix; matrix
Erscheinungsjahr
2003
Titel des Konferenzbandes
Linear Algebra and its Applications
Band
363
Seite(n)
81-88
ISSN
0024-3795
Page URI
https://pub.uni-bielefeld.de/record/1612436

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Elsner L, Hershkowitz D. On the spectra of close-to-Schwarz matrices. In: Linear Algebra and its Applications. Linear Algebra and its Applications. Vol 363. ELSEVIER SCIENCE INC; 2003: 81-88.
Elsner, L., & Hershkowitz, D. (2003). On the spectra of close-to-Schwarz matrices. Linear Algebra and its Applications, Linear Algebra and its Applications, 363, 81-88. ELSEVIER SCIENCE INC. doi:10.1016/S0024-3795(02)00541-4
Elsner, L., and Hershkowitz, D. (2003). “On the spectra of close-to-Schwarz matrices” in Linear Algebra and its Applications Linear Algebra and its Applications, vol. 363, (ELSEVIER SCIENCE INC), 81-88.
Elsner, L., & Hershkowitz, D., 2003. On the spectra of close-to-Schwarz matrices. In Linear Algebra and its Applications. Linear Algebra and its Applications. no.363 ELSEVIER SCIENCE INC, pp. 81-88.
L. Elsner and D. Hershkowitz, “On the spectra of close-to-Schwarz matrices”, Linear Algebra and its Applications, Linear Algebra and its Applications, vol. 363, ELSEVIER SCIENCE INC, 2003, pp.81-88.
Elsner, L., Hershkowitz, D.: On the spectra of close-to-Schwarz matrices. Linear Algebra and its Applications. Linear Algebra and its Applications. 363, p. 81-88. ELSEVIER SCIENCE INC (2003).
Elsner, Ludwig, and Hershkowitz, Daniel. “On the spectra of close-to-Schwarz matrices”. Linear Algebra and its Applications. ELSEVIER SCIENCE INC, 2003.Vol. 363. Linear Algebra and its Applications. 81-88.