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Answer by NNN for Confusion about matrix differentiation in a nonlinear...
If a matrix is differentiated with respect to itself, the result should be a fourth order tensor. The easist way to see this is to work with components.$$\frac{ \partial K_{ij}}{\partial {K_{kl}}} =...
View ArticleConfusion about matrix differentiation in a nonlinear matrix equation
I am trying to solve a matrix equation in the following discrete form:$$\frac{K^{n+1}-K^n}{\Delta t} = [(K^{n+1} (V^{n})^T).^3 - K^{n+1} (V^{n})^T]V^n.$$where $K^{n+1} \in \mathbb{R}^{m \times r}, V...
View ArticleAnswer by greg for Confusion about matrix differentiation in a nonlinear...
$\def\R#1{{\mathbb R}^{#1}}\def\o{{\large\tt1}}\def\D{{\cal D}}\def\k{\otimes}...
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