Generating potentially nilpotent full sign patterns

I.J. Kim; D.D. Olesky; B.L. Shader; P. Driessche, van den; H. Holst, van der; K.N. Vander Meulen

Generating potentially nilpotent full sign patterns

I.J. Kim, D.D. Olesky, B.L. Shader, P. Driessche, van den, H. Holst, van der, K.N. Vander Meulen

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

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Abstract

A sign pattern is a matrix with entries in {+,-, 0}. A full sign pattern has no zero entries. The refined inertia of a matrix pattern is defined and techniques are developed for constructing potentially nilpotent full sign patterns. Such patterns are spectrally arbitrary. These techniques can also be used to construct potentially nilpotent sign patterns that are not full, as well as potentially stable sign patterns.

Original language	English
Pages (from-to)	162-175
Journal	Electronic Journal of Linear Algebra
Volume	18
Publication status	Published - 2009

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title = "Generating potentially nilpotent full sign patterns",

abstract = "A sign pattern is a matrix with entries in {+,-, 0}. A full sign pattern has no zero entries. The refined inertia of a matrix pattern is defined and techniques are developed for constructing potentially nilpotent full sign patterns. Such patterns are spectrally arbitrary. These techniques can also be used to construct potentially nilpotent sign patterns that are not full, as well as potentially stable sign patterns.",

author = "I.J. Kim and D.D. Olesky and B.L. Shader and {Driessche, van den}, P. and {Holst, van der}, H. and {Vander Meulen}, K.N.",

year = "2009",

language = "English",

volume = "18",

pages = "162--175",

journal = "Electronic Journal of Linear Algebra",

issn = "1537-9582",

publisher = "International Linear Algebra Society",

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T1 - Generating potentially nilpotent full sign patterns

AU - Kim, I.J.

AU - Olesky, D.D.

AU - Shader, B.L.

AU - Driessche, van den, P.

AU - Holst, van der, H.

AU - Vander Meulen, K.N.

PY - 2009

Y1 - 2009

N2 - A sign pattern is a matrix with entries in {+,-, 0}. A full sign pattern has no zero entries. The refined inertia of a matrix pattern is defined and techniques are developed for constructing potentially nilpotent full sign patterns. Such patterns are spectrally arbitrary. These techniques can also be used to construct potentially nilpotent sign patterns that are not full, as well as potentially stable sign patterns.

AB - A sign pattern is a matrix with entries in {+,-, 0}. A full sign pattern has no zero entries. The refined inertia of a matrix pattern is defined and techniques are developed for constructing potentially nilpotent full sign patterns. Such patterns are spectrally arbitrary. These techniques can also be used to construct potentially nilpotent sign patterns that are not full, as well as potentially stable sign patterns.

M3 - Article

SN - 1537-9582

VL - 18

SP - 162

EP - 175

JO - Electronic Journal of Linear Algebra

JF - Electronic Journal of Linear Algebra

ER -

Generating potentially nilpotent full sign patterns

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