class

LA::BandedMatrix(T)

Inherits LA::Matrix / LA::LapackHelper / Enumerable / Reference / Object

banded matrix, heap-allocated

Constructors

new(nrows : Int32, ncolumns : Int32, upper_band : Int32, lower_band : Int32, values : Indexable)
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new(nrows, ncolumns, upper_band, values : Indexable)
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new(nrows : Int32, ncolumns : Int32, upper_band : Int32, lower_band : Int32 = upper_band, flags : LA::MatrixFlags = MatrixFlags::None)
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new(nrows : Int32, ncolumns : Int32, upper_band : Int32, lower_band : Int32 = upper_band, flags : LA::MatrixFlags = MatrixFlags::None, &)
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new(matrix : BandedMatrix)
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new(matrix : Matrix, tolerance = matrix.tolerance)
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Class methods

diag(nrows, ncolumns, values)
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estimate(matrix : Matrix(T), tolerance = matrix.tolerance)
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rand(nrows, ncolumns, upper_band : Int32, lower_band : Int32, rng : Random = Random::DEFAULT)
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rand(nrows, ncolumns, upper_band : Int32, rng : Random = Random::DEFAULT)
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Instance methods

+(m : BandedMatrix(T))

returns element-wise sum

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+(m : LA::Matrix)
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-(m : BandedMatrix(T))

returns element-wise subtract

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-(m : LA::Matrix)
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==(other : BandedMatrix(T))
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add!(k : Number, m : BandedMatrix)
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add!(k : Number, m : Matrix)

Perform inplace addition with matrix m multiplied to scalar k

a.add!(k, b) is equal to a = a + k * b, but faster as no new matrix is allocated

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clone
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conjtranspose

returns conjtransposed matrix

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det(*, overwrite_a = false)

Calculates determinant for a square matrix

if overwrite_a is true, a will be overriden in process of calculation

Uses getrf LAPACK routine

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dup

Returns a shallow copy of this object.

This allocates a new object and copies the contents of self into it.

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each_index(*, all = false, &)

Yields every index

all argument controls whether to yield all or non-empty elements for banded\sparse matrices Example: m.each_index { |i, j| m[i, j] = -m[i, j] }

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flags

Returns flags of matrix (see MatrixFlags)

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flags=(flags : MatrixFlags)

Returns flags of matrix (see MatrixFlags)

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lower_band
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lower_band=(value)
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map_with_index

Returns result of appliyng block to every element with index

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map_with_index_complex
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map_with_index_f64

TODO - macro magic?

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ncolumns

Returns number of columns in matrix

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norm(kind : MatrixNorm = MatrixNorm::Frobenius)

returns matrix norm

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nrows

Returns number of rows in matrix

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set_bands(aupper, alower) : Nil
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solve(b : GeneralMatrix(T), *, overwrite_a = false, overwrite_b = false)
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to_unsafe

Returns pointer to underlying data

Storage format depends of matrix type This method raises at runtime if matrix doesn't have raw pointer

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transpose

returns transposed matrix

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transpose!
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tril(k = 0)

Same as tril in scipy - returns lower triangular or trapezoidal part of matrix

Returns a matrix with all elements above k-th diagonal zeroed

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tril!(k = 0)

Works like a tril in scipy - remove all elements above k-diagonal

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triu(k = 0)

Same as triu in scipy - returns upper triangular or trapezoidal part of matrix

Returns a matrix with all elements below k-th diagonal zeroed

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triu!(k = 0)

Works like a triu in scipy - remove all elements below k-diagonal

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unsafe_fetch(i, j)
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unsafe_set(i, j, value)
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upper_band
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upper_band=(value)
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