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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.

Symmetry classes of tensors associated with the semi-dihedral groups $S D_{8 n}$

Mahdi Hormozi, Kijti Rodtes (2013)

Colloquium Mathematicae

We discuss the existence of an orthogonal basis consisting of decomposable vectors for all symmetry classes of tensors associated with semi-dihedral groups $S D_{8 n}$ . In particular, a necessary and sufficient condition for the existence of such a basis associated with $S D_{8 n}$ and degree two characters is given.

Displaying 221 – 231 of 231

Surprising Determinantal Inequality for Real Matrices.

Survey of some results in spectral theory obtained in Prague

Sylvester theorem for certain free modules

Symmetric matrix polynomial equations

Symmetric nonnegative realization of spectra.

Symmetric sign patterns with maximal inertias

Symmetry classes of tensors associated with the semi-dihedral groups $S D_{8 n}$

Symmetry classes of tensors via semigroup operands.

System of linear equations

Systèmes de puissances partiellement divisées

Systems of four equations with a matrix application in a finite field

Currently displaying 221 – 231 of 231