Title of article
Generalized oscillatory matrices
Author/Authors
Shaun M. Fallat، نويسنده , , Miroslav Fiedler، نويسنده , , Thomas L. Markham، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
12
From page
79
To page
90
Abstract
We define a new class of generalized oscillatory matrices, shortly GO-matrices, over a noncommutative ring with identity and a positive part. Similarly to the classical case, this class consists of square generalized totally nonnegative matrices (GTN-matrices) of which some power is generalized totally positive. Using the previously defined ordering of invertible GTN-matrices, we study, in particular, so called basic GO-matrices which form, in a sense, atoms of this ordering.
Keywords
Oscillatorymatrix , Bidiagonal matrix , Exponent of positivity , Totally nonnegative matrix , Factorization , Ring with identity
Journal title
Linear Algebra and its Applications
Serial Year
2003
Journal title
Linear Algebra and its Applications
Record number
823751
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