matrix_math.f90 File Reference

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Modules
module	matrix_math

Functions/Subroutines
subroutine, public	matrix_math::matrix_rzero (a, n)
	Zero a real matrix \( a = 0 \).
subroutine, public	matrix_math::matrix_rone (a, n)
	Set all elements to one.
subroutine, public	matrix_math::matrix_copy (a, b, n)
	Copy a matrix \( a = b \).
subroutine, public	matrix_math::matrix_cmult (a, c, n)
	Multiplication by constant c \( a = c \cdot a \).
subroutine, public	matrix_math::matrix_cadd (a, s, n)
	Add a scalar to matrix \( a_i = a_i + s \).
subroutine, public	matrix_math::matrix_cfill (a, c, n)
	Set all elements to a constant c \( a = c \).
subroutine, public	matrix_math::matrix_invcol1 (a, n)
	Invert elements of a matrix \( a_i = 1 / a_i \).
subroutine, public	matrix_math::matrix_invcol3 (a, b, c, n)
	Element division of two matrices \( a = b / c \).
subroutine, public	matrix_math::matrix_add2 (a, b, n)
	Vector addition \( a = a + b \).
subroutine, public	matrix_math::matrix_add3 (a, b, c, n)
	Vector addition \( a = b + c \).
subroutine	matrix_math::matrix_add4 (a, b, c, d, n)
	Vector addition \( a = b + c + d \).
subroutine, public	matrix_math::matrix_sub2 (a, b, n)
	Vector substraction \( a = a - b \).
subroutine, public	matrix_math::matrix_sub3 (a, b, c, n)
	Vector subtraction \( a = b - c \).
subroutine, public	matrix_math::matrix_add2s1 (a, b, c1, n)
	Vector addition with scalar multiplication \( a = c_1 a + b \) (multiplication on first argument)
subroutine, public	matrix_math::matrix_add2s2 (a, b, c1, n)
	Vector addition with scalar multiplication \( a = a + c_1 b \) (multiplication on second argument)
subroutine, public	matrix_math::matrix_addsqr2s2 (a, b, c1, n)
	Returns \( a = a + c1 * (b * b )\).
subroutine, public	matrix_math::matrix_cmult2 (a, b, c, n)
	Multiplication by constant c \( a = c \cdot b \).
subroutine, public	matrix_math::matrix_invcol2 (a, b, n)
	Vector division \( a = a / b \).
subroutine, public	matrix_math::matrix_col2 (a, b, n)
	Vector multiplication \( a = a \cdot b \).
subroutine, public	matrix_math::matrix_col3 (a, b, c, n)
	Vector multiplication with 3 vectors \( a = b \cdot c \).
subroutine, public	matrix_math::matrix_subcol3 (a, b, c, n)
	Returns \( a = a - b*c \).
subroutine, public	matrix_math::matrix_add3s2 (a, b, c, c1, c2, n)
	Returns \( a = c1 * b + c2 * c \).
subroutine, public	matrix_math::matrix_addcol3 (a, b, c, n)
	Returns \( a = a + b*c \).
subroutine, public	matrix_math::matrix_addcol4 (a, b, c, d, n)
	Returns \( a = a + b*c*d \).
real(kind=rp) function, public	matrix_math::matrix_glsum (a, n)
	Global sum of all elements in a matrix \( sum = \sum_i a_i \).
real(kind=rp) function, public	matrix_math::matrix_glsc2 (a, b, n)
	Global inner product of two matrices \( ip = \sum_i a_i * b_i \).
real(kind=rp) function, public	matrix_math::matrix_glsc3 (a, b, c, n)
	Global inner product of three matrices \( ip = \sum_i a_i * b_i * c_i \).
real(kind=rp) function, public	matrix_math::matrix_glsubnorm (a, b, n)
	Global subtracted norm of two matrices \( norm = \sqrt(\sum_i (a_i - b_i)^2) \).