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Filtering by: Subject Matrices Advisor Ballantine, C. S.

A cone associated with the Lyapunov mapping

Creator:

Lindberg, Charles Gordon

Abstract:

In this paper we investigate the Lyapunov mapping P --> AP + PA * where A is a positive stable matrix and P is a hermitian matrix. In particular, for special positive stable A we characterize the image of the cone of positive definite matrices under this mapping. In Section...

Resource Type:

Masters Thesis
The relation between complex matrices obtained by composing similarity and conjunctivity

Creator:

Upatisringa, Visutdhi

Abstract:

See pdf.

Resource Type:

Dissertation
Matrices conjunctive with their adjoints

Creator:

Yip, Elizabeth Lingfoon

Abstract:

This paper studies necessary and sufficient conditions for a matrix to be conjunctive with its adjoint. The problem is solved completely in the usual complex case, in which it is shown that a matrix is conjunctive to its adjoint iff it is conjunctive to a real matrix. The problem is...

Resource Type:

Dissertation
Effects of conjunctivity on the inertia of complex matrices

Creator:

Hook, Donald George

Abstract:

See pdf.

Resource Type:

Dissertation
Isoconjunctivity of hermitian matrices

Creator:

Vander Beek, John Wayne

Abstract:

In this thesis we define two nxn matrices T and S to be isoconjunctive if there exists an nxn nonsingular hermitian matrix H such that T = HSH. We then proceed to establish necessary and sufficient conditions that two nxn matrices T and S be isoconjunctive in the case where...

Resource Type:

Dissertation