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Ivan Kyrchei

Pidstryhach Institute for Applied Problems of Mechanics and Mathematics

21 papers hereh-index 221.3k citations77 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author19
  • first author1
  • last author1

Across the 21 of 21 papers where every author was matched, so the position is known.

fields
  • math.RA20
  • math.CO1
affiliations
  • Pidstryhach Institute for Applied Problems of Mechanics and Mathematics
Homepage

identity via Semantic Scholar / OpenAlex

activity
20072023
most citedExplicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations

86 citations · 102 across the 21 of their papers we have counts for

collaborators
Showing 2016 · math.RAShow all

2 papers · 2 filters

math.RA2016

Cramer's rules for Hermitian systems of coquaternionic equations

Ivan Kyrchei

In this paper properties of the determinant of a Hermitian matrix are investigated, and determinantal representations of the inverse of a Hermitian coquaternionic matrix are given.…

math.RA2016★ 1 cited

Determinantal representations of the quaternion weighted Moore-Penrose inverse and corresponding Cramer's rule

Ivan Kyrchei

Weighted singular value decomposition (WSVD) and a representation of the weighted Moore-Penrose inverse of a quaternion matrix by WSVD have been derived. Using this representation,…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.