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Subjects
15-XX Linear and multilinear algebra; matrix theory
15Bxx Special matrices
15B35 Sign pattern matrices

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Displaying 1 – 6 of 6

Sign patterns that allow eventual positivity.

Berman, Abraham, Catral, Minerva, Dealba, Luz Maria, Elhashash, Abed, Hall, Frank J., Hogben, Leslie, Kim, In-Jae, Olesky, Dale D., Tarazaga, Pablo, Tsatsomeros, Michael J., van den Driessche, Pauline (2009)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Sign patterns that require eventual positivity or require eventual nonnegativity.

Ellison, Elisabeth M., Hogben, Leslie, Tsatsomeros, Michael J. (2009)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Sign patterns that require or allow power-positivity.

Catral, Minerva, Hogben, Leslie, Olesky, Dale D., van den Driessche, Pauline (2009)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Spectrally arbitrary complex sign pattern matrices.

Gao, Yubin, Shao, Yanling, Fan, Yizheng (2009)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Spectrally arbitrary tree sign patterns of order 4.

Arav, Marina, Hall, Frank, Li, Zhongshan, Kaphle, Krishna, Manzagol, Nilay (2010)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Symmetric sign patterns with maximal inertias

In-Jae Kim, Charles Waters (2010)

Czechoslovak Mathematical Journal

The inertia of an $n$ by $n$ symmetric sign pattern is called maximal when it is not a proper subset of the inertia of another symmetric sign pattern of order $n$ . In this note we classify all the maximal inertias for symmetric sign patterns of order $n$ , and identify symmetric sign patterns with maximal inertias by using a rank-one perturbation.

Currently displaying 1 – 6 of 6

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