On the determination of a tridiagonal matrix from its spectrum and a submatrix

P. Deift; T. Nanda

doi:10.1016/0024-3795(84)90069-7

On the determination of a tridiagonal matrix from its spectrum and a submatrix

P. Deift, T. Nanda

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Given a set of 2n real numbers λ₁<λ₂<⋯<λ_2n, the authors describe the set {S} of n × n tridiagonal matrices with the property that each S can be completed to a 2n×2n tridiagonal matrix L with spec(L)={λ₁, λ₂,...,λ_2n}.

Original language	English (US)
Pages (from-to)	43-55
Number of pages	13
Journal	Linear Algebra and Its Applications
Volume	60
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(84)90069-7
State	Published - Aug 1984

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/0024-3795(84)90069-7

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title = "On the determination of a tridiagonal matrix from its spectrum and a submatrix",

abstract = "Given a set of 2n real numbers λ1<λ2<⋯<λ2n, the authors describe the set {S} of n × n tridiagonal matrices with the property that each S can be completed to a 2n×2n tridiagonal matrix L with spec(L)={λ1, λ2,...,λ2n}.",

author = "P. Deift and T. Nanda",

note = "Funding Information: *Reseamh sponsored by NSF grant #MCS-8002561. {\textquoteleft}This work was supported in part by the Director, Office of Energy Research, Office of Basic Energy Sciences, Engineering, Mathematical and Geosciences Division of the U.S. Department of Energy, under contract W-7404-ENG48.",

year = "1984",

month = aug,

doi = "10.1016/0024-3795(84)90069-7",

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T1 - On the determination of a tridiagonal matrix from its spectrum and a submatrix

AU - Deift, P.

AU - Nanda, T.

N1 - Funding Information: *Reseamh sponsored by NSF grant #MCS-8002561. ‘This work was supported in part by the Director, Office of Energy Research, Office of Basic Energy Sciences, Engineering, Mathematical and Geosciences Division of the U.S. Department of Energy, under contract W-7404-ENG48.

PY - 1984/8

Y1 - 1984/8

N2 - Given a set of 2n real numbers λ1<λ2<⋯<λ2n, the authors describe the set {S} of n × n tridiagonal matrices with the property that each S can be completed to a 2n×2n tridiagonal matrix L with spec(L)={λ1, λ2,...,λ2n}.

AB - Given a set of 2n real numbers λ1<λ2<⋯<λ2n, the authors describe the set {S} of n × n tridiagonal matrices with the property that each S can be completed to a 2n×2n tridiagonal matrix L with spec(L)={λ1, λ2,...,λ2n}.

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

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ER -

On the determination of a tridiagonal matrix from its spectrum and a submatrix

Abstract

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