hal.maths.la package

Submodules

hal.maths.la.iterations module

hal.maths.la.lists module

hal.maths.la.matrix module

class hal.maths.la.matrix.BaseMatrix(matrix)

Bases: object

to_numpy()

class hal.maths.la.matrix.LinearSystemMatrix(matrix)

Bases: hal.maths.la.matrix.Matrix

dlu_decompose()

does_gauss_seidel_converge()

does_jacobi_converge()

incomplete_Cholesky()

class hal.maths.la.matrix.Matrix(matrix)

Bases: hal.maths.la.matrix.BaseMatrix

check_on(f)

condition_number()

eigens()

eigenvalues_hadamard(other)

Computes the Hadamard product of 2 matrices. See https://www.johndcook.com/blog/2018/10/10/hadamard-product/ for details

Parameters:other – second matrix Returns:lower and upper

get_at(row, col)

get_cols()

get_diagonal()

get_lower()

get_n_cols()

get_n_rows()

get_rows()

get_upper()

inverse()

is_definite_positive()

is_diagonally_dominant(strictly=False)

is_square()

is_symmetric()

l1_norm()

l2_norm()

linear_norm()

Works only if vector

linfinite_norm()

shape()

spectral_radius()

transpose()

hal.maths.la.numerical_base module

class hal.maths.la.numerical_base.MachineNumber(sign, mantissa, exponent)

Bases: tuple

exponent

Alias for field number 2

mantissa

Alias for field number 1

sign

Alias for field number 0

hal.maths.la.numerical_base.convert_machine_numbers(numbers, in_base)

hal.maths.la.numerical_base.get_all_machine_numbers(b, l, k)

hal.maths.la.numerical_base.get_all_possible_exponents(b, k)

hal.maths.la.numerical_base.get_all_possible_mantissa(b, l)