Note that Powell never used the word "derivative-free symmetric Broyden update", as "derivative-free" was not in his dictionary.
This word comes from the following (in Sec. 3.6 "关于无导数对称 Broyden 修正的历史注记", i.e., "A historical remark on the derivative-free symmetric Broyden update").
@phdthesis{Zhang_2012,
author = {Zhang, Z.},
address = {Beijing},
school = {Chinese Academy of Sciences},
title = {On Derivative-Free Optimization Methods \textnormal{(in Chinese)}},
year = {2012},
}
Therefore, please make the following changes.
On page 33, change
"
The minimum Frobenius norm update can be regarded as a derivative-free variation
of the Powell symmetric Broyden (PSB) update in the quasi-Newton method.
"
to
"
As mentioned in~\cite[Sec. 3.6]{Zhang_2012}, the minimum Frobenius norm update can be regarded as a derivative-free variation ...
"
On page 34, change
"
Therefore, following Powell [169], we will also refer to the minimum Frobenius norm update as the derivative-free symmetric Broyden update.
"
to
"
Therefore, following Powell [169] and Zhang~\cite{Zhang_2012}, we will also refer to the minimum Frobenius norm update as the derivative-free symmetric Broyden update.
"
Note that Powell never used the word "derivative-free symmetric Broyden update", as "derivative-free" was not in his dictionary.
This word comes from the following (in Sec. 3.6 "关于无导数对称 Broyden 修正的历史注记", i.e., "A historical remark on the derivative-free symmetric Broyden update").
Therefore, please make the following changes.
On page 33, change " The minimum Frobenius norm update can be regarded as a derivative-free variation of the Powell symmetric Broyden (PSB) update in the quasi-Newton method. " to " As mentioned in~\cite[Sec. 3.6]{Zhang_2012}, the minimum Frobenius norm update can be regarded as a derivative-free variation ... "
On page 34, change " Therefore, following Powell [169], we will also refer to the minimum Frobenius norm update as the derivative-free symmetric Broyden update. " to " Therefore, following Powell [169] and Zhang~\cite{Zhang_2012}, we will also refer to the minimum Frobenius norm update as the derivative-free symmetric Broyden update. "