Total derivatives of eigenvalues and eigenprojections of symmetric matrices
Conditions for existence and formulas for the first- and second order total derivatives of the eigenvalues, and the first order total derivatives of the eigenprojections of smooth matrix-valued functions $H\colon\Omega\to S(m)$ are given. The eigenvalues and eigenprojections are considered as functi...
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| creator | Brustad, Karl K |
| description | Conditions for existence and formulas for the first- and second order total
derivatives of the eigenvalues, and the first order total derivatives of the
eigenprojections of smooth matrix-valued functions $H\colon\Omega\to S(m)$ are
given. The eigenvalues and eigenprojections are considered as functions in the
same domain $\Omega\subseteq\mathbb{R}^n$. |
| doi_str_mv | 10.48550/arxiv.1905.06045 |
| format | Article |
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derivatives of the eigenvalues, and the first order total derivatives of the
eigenprojections of smooth matrix-valued functions $H\colon\Omega\to S(m)$ are
given. The eigenvalues and eigenprojections are considered as functions in the
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derivatives of the eigenvalues, and the first order total derivatives of the
eigenprojections of smooth matrix-valued functions $H\colon\Omega\to S(m)$ are
given. The eigenvalues and eigenprojections are considered as functions in the
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derivatives of the eigenvalues, and the first order total derivatives of the
eigenprojections of smooth matrix-valued functions $H\colon\Omega\to S(m)$ are
given. The eigenvalues and eigenprojections are considered as functions in the
same domain $\Omega\subseteq\mathbb{R}^n$.</abstract><doi>10.48550/arxiv.1905.06045</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Analysis of PDEs |
| title | Total derivatives of eigenvalues and eigenprojections of symmetric matrices |
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