The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
Complex-Valued Matrix Differentiation: Techniques and Key Results
Abstract
A systematic theory is introduced for finding the derivatives of complex-valued matrix functions with respect to a complex-valued matrix variable and the complex conjugate of this variable. In the framework introduced, the differential of the complex-valued matrix function is used to identify the derivatives of this function. Matrix differentiation results are derived and summarized in tables which can be exploited in a wide range of signal processing related situations
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Horn, R. A., & Johnson, C. R. (1985) · Cited by 22,203
Haykin, S. (1986) · Cited by 12,603
Horn, R. A., & Johnson, C. R. (1985) · Cambridge University Press eBooks · doi:10.1017/cbo9780511810817 · Cited by 10,280
Horn, R. A., & Johnson, C. R. (1991) · Cambridge University Press eBooks · doi:10.1017/cbo9780511840371 · Cited by 9,319
Rogers, S. (1996) · Control Engineering Practice · doi:10.1016/0967-0661(96)82838-3 · Cited by 9,278
Matrix Differential Calculus with Applications in Statistics and Econometrics.
Magnus, J. R., & Neudecker, H. (1988) · Biometrics · doi:10.2307/2531754 · Cited by 2,699
From theory to practice: an overview of MIMO space-time coded wireless systems
Gesbert, D., Shafi, M., Shiu, D.-S., Smith, P. J., & Naguib, A. (2003) · IEEE Journal on Selected Areas in Communications · doi:10.1109/jsac.2003.809458 · Cited by 2,295
Self-citationFundamentals of Adaptive Filtering
Ramirez, P. S. (2002) · The Kluwer International Series in Engineering and Computer Science · doi:10.1007/978-1-4757-3637-3_2 · Cited by 1,958
Array Signal Processing: Concepts and Techniques
Johnson, D. H., & Dudgeon, D. E. (1993) · Medical Entomology and Zoology · Cited by 1,940
Introduction to linear and nonlinear programming
Luenberger, D. G. (1973) · Medical Entomology and Zoology · Cited by 1,915
Cited by
Convex Optimization in Signal Processing and Communications
(2009) · Cambridge University Press eBooks · doi:10.1017/cbo9780511804458 · Cited by 554
Flexible Intelligent Metasurfaces for Enhancing MIMO Communications
An, J., Han, Z., Niyato, D., Debbah, M., Yuen, C., & Hanzo, L. (2025) · IEEE Transactions on Communications · doi:10.1109/tcomm.2025.3550318 · Cited by 34
Metadata
- Authors
- Hjorungnes, A., & Gesbert, D.
- Venue
- IEEE Transactions on Signal Processing
- Published
- 2007-06
- Volume
- 55
- Issue
- 6
- Pages
- 2740-2746
- ISSN
- 1053-587X (ISSN-L)
- OpenAlex
- W2067145564
- Cited by
- 537
- References
- 23
- FWCI
- 28.55
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Complex-Valued Matrix Differentiation: Techniques and Key Results. https://app.cochat.ai/papers/10.1109/tsp.2007.893762
- The paper
- Hjorungnes, A., & Gesbert, D. (2007). Complex-Valued Matrix Differentiation: Techniques and Key Results. IEEE Transactions on Signal Processing. https://doi.org/10.1109/tsp.2007.893762
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
