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Derivatives of Multilinear Functions of Matrices

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Abstract

Perturbation or error bounds of functions have been of great interest for a long time. If the functions are differentiable, then the mean value theorem and Taylor’s theorem come handy for this purpose.

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Acknowledgments

This article is based on my talk at Indo-French Seminar on Matrix Information Geometries, funded by Indo-French Centre for the Promotion of Advanced Research. I am thankful to my supervisor Prof. Rajendra Bhatia and other participants of the Seminar for their useful comments and suggestions.

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Correspondence to Priyanka Grover .

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Grover, P. (2013). Derivatives of Multilinear Functions of Matrices. In: Nielsen, F., Bhatia, R. (eds) Matrix Information Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30232-9_5

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  • DOI: https://doi.org/10.1007/978-3-642-30232-9_5

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