Matrix calculus (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Matrix calculus" in English language version.

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mathscinet.ams.org

Giles, Mike B. (2008). "Collected matrix derivative results for forward and reverse mode algorithmic differentiation". In Bischof, Christian H.; Bücker, H. Martin; Hovland, Paul; Naumann, Uwe; Utke, Jean (eds.). Advances in Automatic Differentiation. Lecture Notes in Computational Science and Engineering. Vol. 64. Berlin: Springer. pp. 35–44. doi:10.1007/978-3-540-68942-3_4. ISBN 978-3-540-68935-5. MR 2531677.

colorado.edu

Felippa, Carlos A. "Appendix D, Linear Algebra: Determinants, Inverses, Rank" (PDF). ASEN 5007: Introduction To Finite Element Methods. Boulder, Colorado: University of Colorado. Retrieved 5 February 2016. Uses the Hessian (transpose to Jacobian) definition of vector and matrix derivatives.

doi.org

Giles, Mike B. (2008). "Collected matrix derivative results for forward and reverse mode algorithmic differentiation". In Bischof, Christian H.; Bücker, H. Martin; Hovland, Paul; Naumann, Uwe; Utke, Jean (eds.). Advances in Automatic Differentiation. Lecture Notes in Computational Science and Engineering. Vol. 64. Berlin: Springer. pp. 35–44. doi:10.1007/978-3-540-68942-3_4. ISBN 978-3-540-68935-5. MR 2531677.
Liu, Shuangzhe; Leiva, Victor; Zhuang, Dan; Ma, Tiefeng; Figueroa-Zúñiga, Jorge I. (2022). "Matrix differential calculus with applications in the multivariate linear model and its diagnostics". Journal of Multivariate Analysis. 188: 104849. doi:10.1016/j.jmva.2021.104849.
Liu, Shuangzhe; Trenkler, Götz; Kollo, Tõnu; von Rosen, Dietrich; Baksalary, Oskar Maria (2023). "Professor Heinz Neudecker and matrix differential calculus". Statistical Papers. 65 (4): 2605–2639. doi:10.1007/s00362-023-01499-w. S2CID 263661094.

ias.edu

Unpublished memo by S Adler (IAS)

matrixcookbook.com

Petersen, Kaare Brandt; Pedersen, Michael Syskind. The Matrix Cookbook (PDF). Archived from the original on 2 March 2010. Retrieved 5 February 2016. This book uses a mixed layout, i.e. by $Y$ in ${\frac {\partial \mathbf {Y} }{\partial x}},$ by $X$ in ${\frac {\partial y}{\partial \mathbf {X} }}.$

microsoft.com

research.microsoft.com

Thomas P., Minka (December 28, 2000). "Old and New Matrix Algebra Useful for Statistics". MIT Media Lab note (1997; revised 12/00). Retrieved 5 February 2016.

semanticscholar.org

api.semanticscholar.org

Liu, Shuangzhe; Trenkler, Götz; Kollo, Tõnu; von Rosen, Dietrich; Baksalary, Oskar Maria (2023). "Professor Heinz Neudecker and matrix differential calculus". Statistical Papers. 65 (4): 2605–2639. doi:10.1007/s00362-023-01499-w. S2CID 263661094.

stanford.edu

web.stanford.edu

Duchi, John C. "Properties of the Trace and Matrix Derivatives" (PDF). Stanford University. Retrieved 5 February 2016.

web.archive.org

Petersen, Kaare Brandt; Pedersen, Michael Syskind. The Matrix Cookbook (PDF). Archived from the original on 2 March 2010. Retrieved 5 February 2016. This book uses a mixed layout, i.e. by $Y$ in ${\frac {\partial \mathbf {Y} }{\partial x}},$ by $X$ in ${\frac {\partial y}{\partial \mathbf {X} }}.$