24 citations · 25 across the 4 of their papers we have counts for
4 papers
A Lax pair of the discrete Euler top in terms of quaternions
Kinji Kimura
We proposed the discrete Euler top in 2000. In that paper, exact solutions and conserved quantities are described. However, a Lax pair of our proposed discrete Euler top is not con…
A new subtraction-free formula for lower bounds of the minimal singular value of an upper bidiagonal matrix
Takumi Yamashita, Kinji Kimura, Yusaku Yamamoto
Traces of inverse powers of a positive definite symmetric tridiagonal matrix give lower bounds of the minimal singular value of an upper bidiagonal matrix. In a preceding work, a f…
On Implementation and Evaluation of Inverse Iteration Algorithm with compact WY Orthogonalization
Hiroyuki Ishigami, Kinji Kimura, Yoshimasa Nakamura
A new inverse iteration algorithm that can be used to compute all the eigenvectors of a real symmetric tri-diagonal matrix on parallel computers is developed. The modified Gram-Sch…
On a q-difference Painlevé III equation: I. Derivation, symmetry and Riccati type solutions
Kenji Kajiwara, Kinji Kimura
A q-difference analogue of the Painlevé III equation is considered. Its derivations, affine Weyl group symmetry, and two kinds of special function type solutions are discussed.