Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers
Florentín Smarandache, W. B. Vasantha Kandasamy · UNM’s Digital Repository (University of New Mexico) · 2012
This book extends the natural operations defined on intervals, finite complex numbers and matrices. The intervals [a, b] are such that a ≤ b. But the natural class of intervals [a, b] introduced by the authors are such that a ≥ b or a need not be comparable with b. This way of defining natural class of intervals enables the authors to extend all the natural operations defined on reals to these natural class of intervals without any difficulty. Thus with these natural class of intervals working with interval matrices like stiffness matrices finding eigenvalues takes the same time as that usual matrices. Secondly the authors introduce the new notion of finite complex modulo numbers just defined as for usual reals