Ivan Kyrchei
Computational Theory and Mathematics · 2008–2018
A researcher in the Science corpus: 5 papers; trusts 4 researchers and is trusted by 0 researchers here, as inferred from the citation graph.
Subfields
- Computational Theory and Mathematics — 21 citations into it
- Applied Mathematics — 18 citations into it
- Geometry and Topology — 8 citations into it
- Algebra and Number Theory — 7 citations into it
- Statistical and Nonlinear Physics — 6 citations into it
Whom Ivan Kyrchei trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
Papers from Ivan Kyrchei's perspective
Ordered by how strongly the researchers Ivan Kyrchei trusts endorse each paper. Same corpus, a different order for every researcher.
- On left eigenvalues of a quaternionic matrix
- Cramer's rule for quaternionic systems of linear equations
- The solvability of two linear matrix equations
- Ranks and the least-norm of the general solution to a system of quaternion matrix equations
- A generalization of the complex Autonne–Takagi factorization to quaternion matrices
- Maximization and minimization of the rank and inertia of the Hermitian matrix expression A — BX — (BX)* with applications
- On solutions of the matrix equations X−AXB=C and X−AXB=C
- Characterization and properties of matrices with generalized symmetry or skew symmetry
- The maximal and minimal ranks of A − BXC with applications
- Upper and lower bounds for ranks of matrix expressions using generalized inverses
Their papers
- Determinantal representations of the Moore–Penrose inverse over the quaternion skew field and corresponding Cramer's rules (2010) — 81 citations
- Determinantal Representations of Solutions to Systems of Quaternion Matrix Equations (2018) — 51 citations
- Cramer’s Rules for Sylvester Quaternion Matrix Equation and Its Special Cases (2018) — 59 citations
- Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations (2012) — 93 citations
- Cramer's rule for quaternionic systems of linear equations (2008) — 103 citations