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A Note on the vec Operator Applied to Unbalanced Block-Structured Matrices

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  • Hal Caswell
  • Silke F. van Daalen

Abstract

The vec operator transforms a matrix to a column vector by stacking each column on top of the next. It is useful to write the vec of a block-structured matrix in terms of the vec operator applied to each of its component blocks. We derive a simple formula for doing so, which applies regardless of whether the blocks are of the same or of different sizes.

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  • Hal Caswell & Silke F. van Daalen, 2016. "A Note on the vec Operator Applied to Unbalanced Block-Structured Matrices," Journal of Applied Mathematics, Hindawi, vol. 2016, pages 1-3, November.
    • Handle: RePEc:hin:jnljam:4590817
    DOI: 10.1155/2016/4590817
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    Cited by:

    1. van Daalen, Silke & Caswell, Hal, 2020. "Variance as a life history outcome: Sensitivity analysis of the contributions of stochasticity and heterogeneity," Ecological Modelling, Elsevier, vol. 417(C).

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