def matrix_powers(m):
"""Generates infinite sequence of matrix powers, starting from m^0"""
yield eye(len(m)) # m^0
yield m # m^1
m_i = mmul(m, m)
while True:
yield m_i
m_i = mmul(m_i, m)
def matrix_powers(m):
"""Generates infinite sequence of matrix powers, starting from m^0"""
yield eye(len(m)) # m^0
yield m # m^1
m_i = mmul( m, m )
while True:
yield m_i
m_i = mmul( m_i, m )
def qr_inverse(M, context=FloatContext, eps=1e-14):
"""Matrix inverse, using QR transformation"""
n, n_ = shape_mat(M)
assert (n == n_)
IQ, R = qrl_givens(M, context=context, eps=eps, inverse_q=True)
IR = ltri_inverse(R, context=context)
return mmul(IR, IQ)
def qr_inverse( M, context=FloatContext, eps=1e-14):
"""Matrix inverse, using QR transformation"""
n,n_ = shape_mat(M)
assert(n==n_)
IQ,R = qrl_givens(M, context=context, eps=eps, inverse_q = True)
IR = ltri_inverse(R, context=context)
return mmul( IR, IQ )