Thursday, 17 March 2011

Elementary matrices and matrix manipulation.

help elmat
  Elementary matrices and matrix manipulation function description.

  Elementary matrices.
    zeros       - Zeros array.
    ones        - Ones array.
    eye         - Identity matrix.
    repmat      - Replicate and tile array.
    linspace    - Linearly spaced vector.
    logspace    - Logarithmically spaced vector.
    freqspace   - Frequency spacing for frequency response.
    meshgrid    - X and Y arrays for 3-D plots.
    accumarray  - Construct an array with accumulation.
    :           - Regularly spaced vector and index into matrix.

  Basic array information.
    size        - Size of array.
    length      - Length of vector.
    ndims       - Number of dimensions.
    numel       - Number of elements.
    disp        - Display matrix or text.
    isempty     - True for empty array.
    isequal     - True if arrays are numerically equal.
    isequalwithequalnans - True if arrays are numerically equal.

  Matrix manipulation.
    cat         - Concatenate arrays.
    reshape     - Reshape array.
    diag        - Diagonal matrices and diagonals of matrix.
    blkdiag     - Block diagonal concatenation.
    tril        - Extract lower triangular part.
    triu        - Extract upper triangular part.
    fliplr      - Flip matrix in left/right direction.
    flipud      - Flip matrix in up/down direction.
    flipdim     - Flip matrix along specified dimension.
    rot90       - Rotate matrix 90 degrees.
    :           - Regularly spaced vector and index into matrix.
    find        - Find indices of nonzero elements.
    end         - Last index.
    sub2ind     - Linear index from multiple subscripts.
    ind2sub     - Multiple subscripts from linear index.
    bsxfun      - Binary singleton expansion function.

  Multi-dimensional array functions.
    ndgrid      - Generate arrays for N-D functions and interpolation.
    permute     - Permute array dimensions.
    ipermute    - Inverse permute array dimensions.
    shiftdim    - Shift dimensions.
    circshift   - Shift array circularly.
    squeeze     - Remove singleton dimensions.

  Array utility functions.
    isscalar    - True for scalar.
    isvector    - True for vector.

  Special variables and constants.
    eps         - Floating point relative accuracy.
    realmax     - Largest positive floating point number.
    realmin     - Smallest positive floating point number.
    intmax      - Largest positive integer value.
    intmin      - Smallest integer value.
    pi          - 3.1415926535897....
    i           - Imaginary unit.
    inf         - Infinity.
    nan         - Not-a-Number.
    isnan       - True for Not-a-Number.
    isinf       - True for infinite elements.
    isfinite    - True for finite elements.
    j           - Imaginary unit.
    why         - Succinct answer.

  Specialized matrices.
    compan      - Companion matrix.
    gallery     - Test matrices.
    hadamard    - Hadamard matrix.
    hankel      - Hankel matrix.
    hilb        - Hilbert matrix.
    invhilb     - Inverse Hilbert matrix.
    magic       - Magic square.
    pascal      - Pascal matrix.
    rosser      - Classic symmetric eigenvalue test problem.
    toeplitz    - Toeplitz matrix.
    vander      - Vandermonde matrix.
    wilkinson   - Wilkinson's eigenvalue test matrix.

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