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Elliptical higher rank numerical range of some Toeplitz matrices.

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Title: Elliptical higher rank numerical range of some Toeplitz matrices.
Authors: Adam, Maria1 madam@dib.uth.gr, Aretaki, Aikaterini1 kathy@mail.ntua.gr, Spitkovsky, Ilya M.2 imspitkovsky@gmail.com
Source: Linear Algebra & its Applications. Jul2018, Vol. 549, p256-275. 20p.
Subjects: Toeplitz matrices, Numerical solutions to functional equations, Mathematics theorems, Classification algorithms, Mathematical programming
Abstract: The higher rank numerical range is described for a class of matrices which happen to be unitarily reducible to direct sums of (at most) 2-by-2 blocks. In particular, conditions are established under which tridiagonal matrices have elliptical rank- k numerical ranges. [ABSTRACT FROM AUTHOR]
Copyright of Linear Algebra & its Applications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 128956306
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Elliptical higher rank numerical range of some Toeplitz matrices.
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  Data: <searchLink fieldCode="AR" term="%22Adam%2C+Maria%22">Adam, Maria</searchLink><relatesTo>1</relatesTo><i> madam@dib.uth.gr</i><br /><searchLink fieldCode="AR" term="%22Aretaki%2C+Aikaterini%22">Aretaki, Aikaterini</searchLink><relatesTo>1</relatesTo><i> kathy@mail.ntua.gr</i><br /><searchLink fieldCode="AR" term="%22Spitkovsky%2C+Ilya+M%2E%22">Spitkovsky, Ilya M.</searchLink><relatesTo>2</relatesTo><i> imspitkovsky@gmail.com</i>
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  Data: <searchLink fieldCode="DE" term="%22Toeplitz+matrices%22">Toeplitz matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+solutions+to+functional+equations%22">Numerical solutions to functional equations</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+theorems%22">Mathematics theorems</searchLink><br /><searchLink fieldCode="DE" term="%22Classification+algorithms%22">Classification algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+programming%22">Mathematical programming</searchLink>
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  Data: The higher rank numerical range is described for a class of matrices which happen to be unitarily reducible to direct sums of (at most) 2-by-2 blocks. In particular, conditions are established under which tridiagonal matrices have elliptical rank- k numerical ranges. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Linear Algebra & its Applications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.laa.2018.03.024
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      – Code: eng
        Text: English
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        PageCount: 20
        StartPage: 256
    Subjects:
      – SubjectFull: Toeplitz matrices
        Type: general
      – SubjectFull: Numerical solutions to functional equations
        Type: general
      – SubjectFull: Mathematics theorems
        Type: general
      – SubjectFull: Classification algorithms
        Type: general
      – SubjectFull: Mathematical programming
        Type: general
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      – TitleFull: Elliptical higher rank numerical range of some Toeplitz matrices.
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            NameFull: Adam, Maria
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            NameFull: Aretaki, Aikaterini
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            NameFull: Spitkovsky, Ilya M.
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              Text: Jul2018
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              Y: 2018
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              Value: 549
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            – TitleFull: Linear Algebra & its Applications
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