def test_zgbtrs(self):
"""Compare zgbtrs solutions for linear equation system A*x = b
with solutions of linalg.solve."""
lu_symm_band, ipiv, info = zgbtrf(self.bandmat_comp, self.KL, self.KU)
y, info = zgbtrs(lu_symm_band, self.KL, self.KU, self.bc, ipiv)
y_lin = linalg.solve(self.comp_mat, self.bc)
assert_array_almost_equal(y, y_lin)
def test_zgbtrs(self):
"""Compare zgbtrs solutions for linear equation system A*x = b
with solutions of linalg.solve."""
lu_symm_band, ipiv, info = zgbtrf(self.bandmat_comp, self.KL, self.KU)
y, info = zgbtrs(lu_symm_band, self.KL, self.KU, self.bc, ipiv)
y_lin = linalg.solve(self.comp_mat, self.bc)
assert_array_almost_equal(y, y_lin)
def test_zgbtrf(self):
"""Compare zgbtrf LU factorisation with the LU factorisation result
of linalg.lu."""
M,N = shape(self.comp_mat)
lu_symm_band, ipiv, info = zgbtrf(self.bandmat_comp, self.KL, self.KU)
# extract matrix u from lu_symm_band
u = diag(lu_symm_band[2*self.KL,:])
for i in xrange(self.KL + self.KU):
u += diag(lu_symm_band[2*self.KL-1-i,i+1:N], i+1)
p_lin, l_lin, u_lin =lu(self.comp_mat, permute_l=0)
assert_array_almost_equal(u, u_lin)
def test_zgbtrf(self):
"""Compare zgbtrf LU factorisation with the LU factorisation result
of linalg.lu."""
M, N = shape(self.comp_mat)
lu_symm_band, ipiv, info = zgbtrf(self.bandmat_comp, self.KL, self.KU)
# extract matrix u from lu_symm_band
u = diag(lu_symm_band[2 * self.KL, :])
for i in xrange(self.KL + self.KU):
u += diag(lu_symm_band[2 * self.KL - 1 - i, i + 1:N], i + 1)
p_lin, l_lin, u_lin = lu(self.comp_mat, permute_l=0)
assert_array_almost_equal(u, u_lin)
