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Mathematics
Volume 8
Issue 2
10.3390/math8020280
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Article
Peer-Review Record

A Spectral Conjugate Gradient Method with Descent Property

Mathematics 2020, 8(2), 280; https://doi.org/10.3390/math8020280
by Jinbao Jian 1, Lin Yang 1, Xianzhen Jiang 1,*, Pengjie Liu 2 and Meixing Liu 3
Reviewer 1: Anonymous
Reviewer 2:
Alberto Di Matteo
Reviewer 3: Anonymous
Mathematics 2020, 8(2), 280; https://doi.org/10.3390/math8020280
Submission received: 6 January 2020 / Revised: 13 February 2020 / Accepted: 13 February 2020 / Published: 19 February 2020
(This article belongs to the Special Issue Optimization for Decision Making II)

Round 1

Reviewer 1 Report

The results are insufficient to evaluate the quality and performance of the
proposed method. Both results tables do not show enough detail. And a quick
glance show that the proposed method is inferior in terms of iteration count.
This needs to be substantially revised on additional data has to be provided.
Please include: iteration count, number of function evaluations, number of
gradient evaluations, total time to convergence, nor of g*, amount of memory
consumed, etc. Please provide this information in a that is easy to analyze
rather than convoluted table entries.

Typos and phrases spotted during the review:

"via the following manner" should be "in the following manner"


"is descent" should be "is a descent direction"


"method is deem" should use "deemed"

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 2 Report

In this paper Authors propose a new Spectral conjugate gradient method with the standard Wolfe line search. Comparison with other classical procedure demonstratee the accuracy of the proposed approach.

The paper is sufficiently well written, and the topic could be of interest for the readers of the journal. Only minor comments should be addressed:

1) It is suggested to more clearly describe the numerical examples

2) moderate language changes are required

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 3 Report

The paper is well focused and presented. The main aim is clearly described and demonstrated theoretically and with a simulation study.

My comment about a possible improvement of the work is related to presentation of simulation study. The figures are ok and understable but tables 1 and 2 show a big amount of results that are hard to read. The authors could summarise these results, for example, indicating when their proposed method work better in terms of time of cpu, number of iterations. etcetera.

Minor comment: At the end of the abstract the authors write "...some other efficient methods in terms of efficiency" I would eliminate the first "efficient" word, a method is not efficient if there exists another more efficient.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Round 2

Reviewer 1 Report

OK.

Author Response

Please see the attachment

Author Response File: Author Response.pdf

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