![]() ![]() In general, expect these functions to be slower than simply using built-ins unless you are sure that your sub-matrices (but not the full matrix) have the kind of structure exploited by mldivide. In certain cases, this means that the built-ins are able to exploit structure in the sub-matrices for very fast inversion and quickly combine the results together. These functions implement matrix inversion (`blockinv`) and division (`blockmldivide` and `blockmrdivide`) by extracting sub-matrices of a user-defined size and calling the matlab built-ins on them. In practice, it is seldom necessary to form the explicit inverse of a matrix. A warning message is printed if X is badly scaled or nearly singular. The functions provided here were initially written to support a latent Gaussian Process inference implementation, where we frequently encounter large matrices which have sub-matrices with "nice" structure, but the full matrix does not. inv (MATLAB Functions) inv Matrix inverse Syntax Y inv (X) Description Y inv (X) returns the inverse of the square matrix X. See the algorithms section of the documentation on `mldivide` for more information: A square matrix is singular only when its determinant is exactly zero. A matrix that has no inverse is singular. Matlab has very good built-in support for fast matrix inversion exploiting the structure of a matrix. A matrix X is invertible if there exists a matrix Y of the same size such that X Y Y X I n, where I n is the n-by-n identity matrix.
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