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20122025
most citedFrom the time series to the complex networks: the parametric (dynamical) natural visibility graph

100 citations

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5 papers · 1 filter

math.NA2015★ 5 cited

Reversible Digital Filters Total Parametric Sensitivity Optimization using Non-canonical Hypercomplex Number Systems

Yakiv O. Kalinovsky, Yuliya E. Boyarinova, Iana V. Khitsko

Digital filter construction method, which is optimal by parametric sensitivity, based on using of non-canonical hypercomplex number systems is proposed and investigated. It is show…

math.NA2014

Generalized quaternions and their relations with Grassmann-Clifford procedure of doubling

Yakiv O. Kalinovsky, Yuliya E. Boyarinova, Alina S. Turenko +1

The class of non-commutative hypercomplex number systems (HNS) of 4-dimension, constructed by using of non-commutative Grassmann-Clifford procedure of doubling of 2-dimensional sys…

math.NA2014

Clifford Type Algebra Characteristics Investigation

Yakiv O. Kalinovsky, Dmitry V. Lande, Dr. Sc. +2

The main properties of hypercomplex generalization of quaternion system as antiquaternion are presented in this article. Definitions and studied of antiquaternions conjugation are…

math.NA2014★ 3 cited

Some isomorphic classes for noncanonical hypercomplex number systems of dimension 2

Yakiv O. Kalinovsky, Dmitry V. Lande, Yuliya E. Boyarinova +1

Building of some isomorphic classes for noncanonical hypercomplex number systems o dimension 2 is described. In general case, such systems with specific constraints to structural c…

math.NA2014★ 1 cited

Inifnite hypercomplex number system factorization methods

Yakiv O. Kalinovsky, Dmitry V. Lande, Yuliya E. Boyarinova +1

The method of obtaining the set of noncanonical hypercomplex number systems by conversion of infinite hypercomplex number system to finite hypercomplex number system depending on m…