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- Title
The Principal Axis Theorem for Real Symmetric Interval Matrices with Applications on Spring - Mass System.
- Authors
Surya, S. Hema; Ganesan, K.
- Abstract
The existence of real symmetric interval matrices is a natural phenomenon that can be found in a variety of real-life scenarios. In this particular feature, we develop the principal axis/spectral theorem for real symmetric interval matrices. This theorem paves the way for exciting developments in interval matrix theory, particularly concerning issues such as approximations, dealing with inexact or vague data, coping with the unavailability of data, and managing errors in measurements. To demonstrate the practical utility of our approach, we delve into a concrete real-world example involving vibration analysis within an uncertain environment. This research opens up new horizons for the effective utilization of interval matrices in addressing challenges arising from uncertainty and imprecision in diverse fields.
- Subjects
SYMMETRIC matrices; MEASUREMENT errors; EIGENVECTORS
- Publication
IAENG International Journal of Applied Mathematics, 2024, Vol 54, Issue 5, p859
- ISSN
1992-9978
- Publication type
Article