101 citations · 1.2k across the 81 of their papers we have counts for
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math-ph2024
Eigenvectors in terms of reduced complements of minor determinants
M. I. Krivoruchenko
Eigenvectors associated with non-degenerate eigenvalues are shown to correspond to columns of the adjugate of the characteristic matrix. Degenerate eigenvalues are associated with…
math-ph2016
Trace identities for skew-symmetric matrices
M. I. Krivoruchenko
We derive an expression for the product of the Pfaffians of two skew-symmetric matrices A and B as a sum of products of the traces of powers of AB and an expression for the inverse…
math-ph2013★ 1 cited
Recurrence relations for the number of solutions of a class of Diophantine equations
M. I. Krivoruchenko
Recursive formulas are derived for the number of solutions of linear and quadratic Diophantine equations with positive coefficients. This result is further extended to general non-…