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20142017
most citedReversible Digital Filters Total Parametric Sensitivity Optimization using Non-canonical Hypercomplex Number Systems

5 citations · 12 across the 8 of their papers we have counts for

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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.GM2014

Computing Characteristics of One Class of Non-commutative Hypercomplex Number Systems of 4-dimension

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

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

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…