Stability analysis of multilinear system using condition spectrum
- Resource Type
- Original Paper
- Authors
- Kumar, G. Krishna; Akhitha, M. S.
- Source
- Banach Journal of Mathematical Analysis. 17(1)
- Subject
- Tensor
Multilinear
Tensor pair
Condition spectrum
Ransford spectrum
Stability
15A10
15A69
47A07
47A30
47A55
65L09
- Language
- English
- ISSN
- 2662-2033
1735-8787
We presented the idea of condition spectrum for a multi-array of complex numbers generally referred to as complex tensors. The application of the condition spectrum of tensors in the stability analysis of multilinear systems emphasizes the significance of this concept. It is shown that the condition spectrum of a tensor and a tensor pair is a Ransford spectrum. Some significant properties of the condition spectrum involving topological and geometrical aspects are developed. We demonstrated how to utilize a condition spectrum to assess the stability of a system of multilinear equations. Some examples and numerical experiments are done to illustrate the results.