Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of an iterative scheme for the Monge-Amp\`ere eigenvalue
  problem with general initial data   In this note, we revisit an iterative scheme, due to Abedin and Kitagawa
(Inverse Iteration for the Monge-Amp\`ere Eigenvalue Problem, Proc. Amer. Math.
Soc. 148 (2020), no. 11, 4875--4886), to solve the Monge-Amp\`ere eigenvalue
problem on a general bounded convex domain. Using a nonlinear integration by
parts, we show that the scheme converges for all convex initial data having
finite and nonzero Rayleigh quotient to a nonzero Monge-Amp\`ere eigenfunction.

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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph