Geodesic
Non-linear spectra of matrices and extremal problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 6, pp. 803-816 Cet article a éte moissonné depuis la source Math-Net.Ru

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Theoretical questions and the computational aspects of the search for the spectral values $\lambda$ and vectors $x\in\mathbb R^m\setminus\{0\}$ of a system $A^{\mathrm T}(Ax)_{(q)}=\lambda^q(x)_{(p)}$, where $A$ is a $k\times m$ matrix, $1\le p$, $q<\infty$ are presented. When $p=q=2$ this is simply the problem of determining the singular values of $A$. Nonlinear systems $((p-2)^2+(q-2)^2\ne0)$ arise in many fields of analysis, mechanics and approximation theory. 
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A. P. Buslaev. Non-linear spectra of matrices and extremal problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 6, pp. 803-816. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_6_a0/

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