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math.NA2014
A unified understanding of the two formulae for the traces of the inverse powers of a positive definite symmetric tridiagonal matrix
Takumi Yamashita
For an upper bidiagonal matrix where all the diagonal and the upper subdiagonal entries are positive, two subtraction-free formulae for computation of the traces $J_{M} ( B ) =…
math.NA2014
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…