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GSL_Matrix.new(argv)
GSL_Matrix.alloc(argv)
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These methods create a GSL_Matrix object which contains matrix elements.
One can initialize a matrix with arrays,
require 'gsl'
m = GSL_Matrix::new([1, 2, 3], [6, 5, 4], [7, 8, 1])
-> a 3x3 matrix is created,
1 2 3
4 5 6
7 8 9
With an array and rows&cols,
m = GSL_Matrix::new([1, 2, 3, 4, 5, 6, 7, 8, 9], 3, 3)
GSL_Matrix#set(argv)
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This method sets elements of the matrix in various manners.
with two integers and a number,
m.set(1, 2, 3.2) -> the (1, 2) element is set to 3.2
with arrays,
m.set([6, 5, 6], [4, 5, 7], [8, 5, 21])
->
6 5 6
4 5 7
8 5 21
with an array and sizes,
m.set([4, 5, 6, 8, 98, 6, 4, 3, 1], 3, 3)
->
4 5 6
8 98 6
4 3 1
GSL_Matrix#get(i, j)
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This method returns the (i,j)th element of the reciever matrix self.
GSL_Matrix#set_all(x)
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This method sets all the elements of the reciever matrix to the value x.
GSL_Matrix#set_zero
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This method sets all the elements of the matrix to zero.
GSL_Matrix#set_identity
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This method sets the elements of the reciever matrix to the corresponding
elements of the identity matrix, i.e. a unit diagonal with all off-diagonal
elements zero. This applies to both square and rectangular matrices.
GSL_Matrix#fprintf(io, format)
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This method writes the matrix elements line-by-line to the io object io
using the format specifier format.
GSL_Matrix#fscanf(io)
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This method reads formatted data from the io object io into the
matrix.
GSL_Matrix#row(i)
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This method returns a vector of the i-th row of the matrix.
GSL_Matrix#column(i)
GSL_Matrix#col(i)
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These methods return a vector of the j-th column of the matrix.
GSL_Matrix#diagonal
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This method returns a vector of the diagonal of the matrix.
GSL_Matrix#set_row(i, v)
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This method copies the elements of the vector v into the i-th row of the matrix.
The length of the vector must be the same as the length of the row.
GSL_Matrix#set_col(j, v)
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This method copies the elements of the vector v into the j-th column of the
matrix. The length of the vector must be the same as the length of the column.
GSL_Matrix#swap_rows!(i, j)
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This method exchanges the i-th and j-th rows of the matrix in-place.
GSL_Matrix#swap_rows(i, j)
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Same as GSL_Matrix#swap_rows!(i, j), but not modifies the reciever, and
returns a new matrix.
GSL_Matrix#swap_columns!(i, j)
GSL_Matrix#swap_columns(i, j)
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This method exchanges the i-th and j-th columns of the matrix.
GSL_Matrix#swap_rowcol!(i, j)
GSL_Matrix#swap_rowcol(i, j)
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This method exchanges the i-th row and j-th column of the matrix.
The matrix must be square for this operation to be possible.
GSL_Matrix#transpose!
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This method returns a matrix of a transpose of the reciever matrix.
GSL_Matrix#transpose
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This method replaces the reciever matrix by its transpose by copying the
elements of the matrix in-place. The matrix must be square for this
operation to be possible.
GSL_Matrix#add(b)
GSL_Matrix#add!(b)
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This method adds the elements of matrix b to the elements of the reciever matrix.
The two matrices must have the same dimensions.
GSL_Matrix#sub!(b)
GSL_Matrix#sub(b)
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This method subtracts the elements of matrix b from the elements of the reciever
matrix. The two matrices must have the same dimensions.
GSL_Matrix#mul_elements!(b)
GSL_Matrix#mul_elements(b)
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This method multiplies the elements of the reciever matrix by the elements of
matrix b. The two matrices must have the same dimensions.
GSL_Matrix#div_elements!(b)
GSL_Matrix#div_elements(b)
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This method divides the elements of the reciever matrix by the elements of
matrix b. The two matrices must have the same dimensions.
GSL_Matrix#scale!(x)
GSL_Matrix#scale(x)
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This method multiplies the elements of the reciever matrix by the constant
factor x.
GSL_Matrix#add_constant!(a)
GSL_Matrix#add_constant(a)
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This method adds the constant value x to the elements of the matrix.
GSL_Matrix#max
GSL_Matrix#min
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These methods return the max/min value in the reciever matrix.
GSL_Matrix#minmax
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This method returns a two elements array [min, max], which contains the minimum
and the maximum values in the reciever matrix.
GSL_Matrix#max_index
GSL_Matrix#min_index
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These methods return the index of the max/min value in the reciever matrix.
GSL_Matrix#minmax_index
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This method returns a two elements array [imin, imax], which contains the indices
of the minimum and the maximum value in the reciever matrix.
===
GSL_Matrix#to_na
GSL_Matrix#to_narray
GSL_Matrix#to_NArray
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This method converts a GSL_Matrix object into an NArray object, which is provided
by the NArray extension developed by M.Tanaka. An NArray object
is also converted into a GSL_Matrix object with the method to_m or to_gm.
ex)
require 'narray'
require 'gsl/gsl_array'
# an NArray object
m = NMatrix[[0, 1.2, 1],[1.5, 0, 2]]
p m <----- NMatrix.float(3,2):
[ [ 0.0, 1.2, 1.0 ],
[ 1.5, 0.0, 2.0 ] ]
# GSL_Matrix
gm = m.to_gm
p gm <---- [ 0.000e+00 1.200e+00 1.000e+00
1.500e+00 0.000e+00 2.000e+00 ]
#<GSL::GSL_Matrix>
# NArray
m2 = gm.to_na
p m2 <---- NArray.float(3,2):
[ [ 0.0, 1.2, 1.0 ],
[ 1.5, 0.0, 2.0 ] ]
Note that you should compile Ruby/GSL with the option flag
with-narray-include=... to use these methods.
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