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  "Title": "Fast Matrix Operations via the Woodbury Matrix Identity",
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  "Description": "A hierarchy of classes and methods for manipulating\nmatrices formed implicitly from the sums of the inverses of\nother matrices, a situation commonly encountered in spatial\nstatistics and related fields. Enables easy use of the Woodbury\nmatrix identity and the matrix determinant lemma to allow\ncomputation (e.g., solving linear systems) without having to\nform the actual matrix. More information on the underlying\nlinear algebra can be found in Harville, D. A. (1997)\n<doi:10.1007/b98818>.",
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    "dwnorm",
    "instantiate",
    "isSymmetric",
    "mahalanobis",
    "rwnorm",
    "solve",
    "t",
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      "page": "determinant-WoodburyMatrix-logical-method",
      "title": "Calculate the determinant of a WoodburyMatrix object",
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        "determinant,WoodburyMatrix,logical-method"
      ]
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        "instantiate,GWoodburyMatrix-method",
        "instantiate,SWoodburyMatrix-method"
      ]
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        "mahalanobis,ANY,ANY,SWoodburyMatrix-method"
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      "title": "Normal distribution methods for 'SWoodburyMatrix' objects",
      "topics": [
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        "normal-distribution-methods",
        "rwnorm"
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    },
    {
      "page": "solve-methods",
      "title": "Solve methods for 'WoodburyMatrix' objects",
      "topics": [
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        "solve,GWoodburyMatrix,ANY-method",
        "solve,GWoodburyMatrix,matrix-method",
        "solve,GWoodburyMatrix,missing-method",
        "solve,GWoodburyMatrix,numLike-method",
        "solve,SWoodburyMatrix,ANY-method",
        "solve,SWoodburyMatrix,matrix-method",
        "solve,SWoodburyMatrix,missing-method",
        "solve,SWoodburyMatrix,numLike-method",
        "solve-methods"
      ]
    },
    {
      "page": "WoodburyMatrix",
      "title": "Create a Woodbury matrix identity matrix",
      "topics": [
        "WoodburyMatrix"
      ]
    },
    {
      "page": "WoodburyMatrix-class",
      "title": "Virtual class for Woodbury identity matrices",
      "topics": [
        "%*%,GWoodburyMatrix,ANY-method",
        "%*%,SWoodburyMatrix,ANY-method",
        "GWoodburyMatrix-class",
        "isSymmetric,GWoodburyMatrix-method",
        "isSymmetric,SWoodburyMatrix-method",
        "SWoodburyMatrix-class",
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        "t,SWoodburyMatrix-method",
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      "title": "Using the Woodbury matrix identity",
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      "headings": [
        "Disclaimer",
        "Introduction",
        "Example 1: marginalising Bayesian linear regression",
        "Example 2: sums of sparse precision matrices",
        "Multiple $B$ matrices",
        "Implementation notes",
        "Bibliography"
      ],
      "created": "2020-07-20 11:05:03",
      "modified": "2020-07-21 00:22:52",
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