Linear transformations on symmetric matrices

1979/01/01 by M. H. Lim · 2 citations
Computer Science · #Matrix Theory and Algorithms

paper · doi:10.1080/03081087908817259

Abstract

In this paper we study the problem of characterizing those linear transformations on the vector space of symmetric matrices which preserve a fixed rank or the signature.

Cited by

• Linear mappings on second symmetric product spaces that Preserve rank less than or equal to one
• Decomposability preserving linear maps between symmetric spaces

Related

• On positive definite preserving linear transformations of rank r on real symmetric matrices
• Positive definite preserving linear transformations on symmetric matrix spaces
• Linear mappings on second symmetric product spaces that Preserve rank less than or equal to one
• Linear preservers of copositive and completely positive matrices
• A note on spaces of symmetric matrices