63 lines
1.4 KiB
Python
63 lines
1.4 KiB
Python
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from sympy.matrices.expressions import MatrixExpr
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from sympy.assumptions.ask import Q
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class Factorization(MatrixExpr):
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arg = property(lambda self: self.args[0])
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shape = property(lambda self: self.arg.shape) # type: ignore
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class LofLU(Factorization):
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@property
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def predicates(self):
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return (Q.lower_triangular,)
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class UofLU(Factorization):
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@property
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def predicates(self):
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return (Q.upper_triangular,)
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class LofCholesky(LofLU): pass
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class UofCholesky(UofLU): pass
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class QofQR(Factorization):
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@property
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def predicates(self):
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return (Q.orthogonal,)
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class RofQR(Factorization):
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@property
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def predicates(self):
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return (Q.upper_triangular,)
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class EigenVectors(Factorization):
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@property
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def predicates(self):
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return (Q.orthogonal,)
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class EigenValues(Factorization):
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@property
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def predicates(self):
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return (Q.diagonal,)
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class UofSVD(Factorization):
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@property
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def predicates(self):
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return (Q.orthogonal,)
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class SofSVD(Factorization):
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@property
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def predicates(self):
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return (Q.diagonal,)
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class VofSVD(Factorization):
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@property
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def predicates(self):
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return (Q.orthogonal,)
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def lu(expr):
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return LofLU(expr), UofLU(expr)
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def qr(expr):
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return QofQR(expr), RofQR(expr)
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def eig(expr):
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return EigenValues(expr), EigenVectors(expr)
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def svd(expr):
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return UofSVD(expr), SofSVD(expr), VofSVD(expr)
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