401 citations · 707 across the 50 of their papers we have counts for
Showing math.CAShow all
3 papers · 1 filter
math.CA2020★ 1 cited
Zolotarev's fifth and sixth problems
Evan S. Gawlik, Yuji Nakatsukasa
In an influential 1877 paper, Zolotarev asked and answered four questions about polynomial and rational approximation. We ask and answer two questions: what are the best rational a…
math.CA2013★ 2 cited
The minimization of matrix logarithms - on a fundamental property of the unitary polar factor
Johannes Lankeit, Patrizio Neff, Yuji Nakatsukasa
We show that the unitary factor U in the polar decomposition of a nonsingular matrix Z = U H is the minimizer for both ||Log(Q^* Z)|| and ||sym (Log(Q^*Z))|| over unitary Q, for an…
math.CA2013★ 21 cited
A logarithmic minimization property of the unitary polar factor in the spectral norm and the Frobenius matrix norm
Patrizio Neff, Yuji Nakatsukasa, Andreas Fischle
The unitary polar factor in the polar decomposition of the matrix is the minimizer for both and its Hermitian part $\| \mathrm{sym Log}(Q^…