Which matrices can be written as sums or products of square-zero matrices? This
question is the central premise of this dissertation. Over the past 25 years a signi -
cant body of research on products and linear combinations of square-zero matrices
has developed, and it is the aim of this study to present this body of research in a
consolidated, holistic format, that could serve as a theoretical introduction to the
subject.
The content of the research is presented in three parts: rst results within the
broader context of sums and products of nilpotent matrices are discussed, then
products of square-zero matrices, and nally sums of square-zero matrices. / Mathematical Sciences / M. Sc. (Mathematics)
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:unisa/oai:uir.unisa.ac.za:10500/24519 |
| Date | 03 1900 |
| Creators | Hattingh, Christiaan Johannes |
| Contributors | Botha, J. D. |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Dissertation |
| Format | 1 online resource (179 leaves) |
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