Skip to main content

Correction to: Medium-scale traveling ionospheric disturbances by three-dimensional ionospheric GPS tomography

The Original Article was published on 27 February 2016

Correction to: Earth Planets Space (2016) 68:32 https://doi.org/10.1186/s40623-016-0412-6

In the original publication of this article (Chen et al. 2016), the author found a typo error in Eq. (8) in the section of Appendix. The correct constraint matrix, W, should be given as:

$$ w = \left[ {\begin{array}{*{20}c} {\sum\limits_{j = 1}^{6} {C_{1,j} } } & { - C_{1,1} } & { - C_{1,2} } & { - C_{1,3} } & { - C_{1,4} } & { - C_{1,5} } & { - C_{1,6} } & {} & {} & {} & {} \\ {} & {\sum\limits_{j = 1}^{6} {C_{2,j} } } & { - C_{2,1} } & { - C_{2,1} } & { - C_{2,1} } & { - C_{2,1} } & { - C_{2,1} } & { - C_{2,1} } & {} & 0 & {} \\ {} & {} & {} & {} & {} & \ddots & {} & {} & {} & {} & {} \\ {} & 0 & {} & {\sum\limits_{j = 1}^{6} {C_{N - 1,j} } } & { - C_{N - 1,1} } & { - C_{N - 1,2} } & { - C_{N - 1,3} } & { - C_{N - 1,4} } & { - C_{N - 1,5} } & { - C_{N - 1,6} } & {} \\ {} & {} & {} & {} & {\sum\limits_{j = 1}^{6} {C_{N,j} } } & { - C_{N,1} } & { - C_{N,2} } & { - C_{N,3} } & { - C_{N,4} } & { - C_{N,5} } & { - C_{N,6} } \\ \end{array} } \right] $$
(8)

Reference

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to C. H. Chen.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chen, C.H., Saito, A., Lin, C.H. et al. Correction to: Medium-scale traveling ionospheric disturbances by three-dimensional ionospheric GPS tomography. Earth Planets Space 72, 118 (2020). https://doi.org/10.1186/s40623-020-01244-9

Download citation

  • Published:

  • DOI: https://doi.org/10.1186/s40623-020-01244-9