def idd_diffsnorm(m, n, matvect, matvect2, matvec, matvec2, its=20):
"""
Estimate spectral norm of the difference of two real matrices by the
randomized power method.
:param m:
Matrix row dimension.
:type m: int
:param n:
Matrix column dimension.
:type n: int
:param matvect:
Function to apply the transpose of the first matrix to a vector, with
call signature `y = matvect(x)`, where `x` and `y` are the input and
output vectors, respectively.
:type matvect: function
:param matvect2:
Function to apply the transpose of the second matrix to a vector, with
call signature `y = matvect2(x)`, where `x` and `y` are the input and
output vectors, respectively.
:type matvect2: function
:param matvec:
Function to apply the first matrix to a vector, with call signature
`y = matvec(x)`, where `x` and `y` are the input and output vectors,
respectively.
:type matvec: function
:param matvec2:
Function to apply the second matrix to a vector, with call signature
`y = matvec2(x)`, where `x` and `y` are the input and output vectors,
respectively.
:type matvec2: function
:param its:
Number of power method iterations.
:type its: int
:return:
Spectral norm estimate of matrix difference.
:rtype: float
"""
return _id.idd_diffsnorm(m, n, matvect, matvect2, matvec, matvec2, its)
def idd_diffsnorm(m, n, matvect, matvect2, matvec, matvec2, its=20):
"""
Estimate spectral norm of the difference of two real matrices by the
randomized power method.
:param m:
Matrix row dimension.
:type m: int
:param n:
Matrix column dimension.
:type n: int
:param matvect:
Function to apply the transpose of the first matrix to a vector, with
call signature `y = matvect(x)`, where `x` and `y` are the input and
output vectors, respectively.
:type matvect: function
:param matvect2:
Function to apply the transpose of the second matrix to a vector, with
call signature `y = matvect2(x)`, where `x` and `y` are the input and
output vectors, respectively.
:type matvect2: function
:param matvec:
Function to apply the first matrix to a vector, with call signature
`y = matvec(x)`, where `x` and `y` are the input and output vectors,
respectively.
:type matvec: function
:param matvec2:
Function to apply the second matrix to a vector, with call signature
`y = matvec2(x)`, where `x` and `y` are the input and output vectors,
respectively.
:type matvec2: function
:param its:
Number of power method iterations.
:type its: int
:return:
Spectral norm estimate of matrix difference.
:rtype: float
"""
return _id.idd_diffsnorm(m, n, matvect, matvect2, matvec, matvec2, its)