Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Kaczmarz algorithm for sequences of projections, infinite products,
  and applications to frames in IFS $L^{2}$ spaces   We show that an idea, originating initially with a fundamental recursive
iteration scheme (usually referred as "the" Kaczmarz algorithm), admits
important applications in such infinite-dimensional, and non-commutative,
settings as are central to spectral theory of operators in Hilbert space, to
optimization, to large sparse systems, to iterated function systems (IFS), and
to fractal harmonic analysis. We present a new recursive iteration scheme
involving as input a prescribed sequence of selfadjoint projections.
Applications include random Kaczmarz recursions, their limits, and their
error-estimates.

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The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
12
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: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: stat