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Physiology and pathology of iterative aggregation-disaggregation methods

Result description

We provided two results for spectral radii of asymptotic error propagation matrices: (i) the spectral radius is bounded by unity for symmetric Markov chains and (ii) the spectral radius can be arbitrarily large for a certain class of sparse Markov chains.

Keywords

iterative aggregation-disaggregation methodMarkov chainstochastic matrixstationary probability distribution vectorsorting of states

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Physiology and pathology of iterative aggregation-disaggregation methods

  • Original language description

    We provided two results for spectral radii of asymptotic error propagation matrices: (i) the spectral radius is bounded by unity for symmetric Markov chains and (ii) the spectral radius can be arbitrarily large for a certain class of sparse Markov chains.

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Numerical Linear Algebra with Applications

  • ISSN

    1070-5325

  • e-ISSN

  • Volume of the periodical

    18

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    15

  • Pages from-to

    1051-1065

  • UT code for WoS article

    000297926000011

  • EID of the result in the Scopus database

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BA - General mathematics

Year of implementation

2011