Condition number
Main header file
Subroutines
The condition number of a matrix with respect to a particular norm is
\[\kappa(A) = \|A\| \|A^{-1}\|,\]
with the most common choice being the matrix two-norm.
General
Returns the condition number with respect to the specified norm
(one, two, or Frobenius).
C API
-
ElError
ElCondition_s(ElConstMatrix_s A, ElNormType normType, float* cond)
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ElError
ElCondition_d(ElConstMatrix_d A, ElNormType normType, double* cond)
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ElError
ElCondition_c(ElConstMatrix_c A, ElNormType normType, float* cond)
-
ElError
ElCondition_z(ElConstMatrix_z A, ElNormType normType, double* cond)
-
ElError
ElConditionDist_s(ElConstDistMatrix_s A, ElNormType normType, float* cond)
-
ElError
ElConditionDist_d(ElConstDistMatrix_d A, ElNormType normType, double* cond)
-
ElError
ElConditionDist_c(ElConstDistMatrix_c A, ElNormType normType, float* cond)
-
ElError
ElConditionDist_z(ElConstDistMatrix_z A, ElNormType normType, double* cond)
Frobenius norm
Returns the condition number with respect to the Frobenius norm.
C API
-
ElError
ElFrobeniusCondition_s(ElConstMatrix_s A, float* cond)
-
ElError
ElFrobeniusCondition_d(ElConstMatrix_d A, double* cond)
-
ElError
ElFrobeniusCondition_c(ElConstMatrix_c A, float* cond)
-
ElError
ElFrobeniusCondition_z(ElConstMatrix_z A, double* cond)
-
ElError
ElFrobeniusConditionDist_s(ElConstDistMatrix_s A, float* cond)
-
ElError
ElFrobeniusConditionDist_d(ElConstDistMatrix_d A, double* cond)
-
ElError
ElFrobeniusConditionDist_c(ElConstDistMatrix_c A, float* cond)
-
ElError
ElFrobeniusConditionDist_z(ElConstDistMatrix_z A, double* cond)
Infinity norm
Returns the condition number with respect to the infinity norm.
C API
-
ElError
ElInfinityCondition_s(ElConstMatrix_s A, float* cond)
-
ElError
ElInfinityCondition_d(ElConstMatrix_d A, double* cond)
-
ElError
ElInfinityCondition_c(ElConstMatrix_c A, float* cond)
-
ElError
ElInfinityCondition_z(ElConstMatrix_z A, double* cond)
-
ElError
ElInfinityConditionDist_s(ElConstDistMatrix_s A, float* cond)
-
ElError
ElInfinityConditionDist_d(ElConstDistMatrix_d A, double* cond)
-
ElError
ElInfinityConditionDist_c(ElConstDistMatrix_c A, float* cond)
-
ElError
ElInfinityConditionDist_z(ElConstDistMatrix_z A, double* cond)
Max norm
Returns the condition number with respect to the entrywise maximum norm.
C API
-
ElError
ElMaxCondition_s(ElConstMatrix_s A, float* cond)
-
ElError
ElMaxCondition_d(ElConstMatrix_d A, double* cond)
-
ElError
ElMaxCondition_c(ElConstMatrix_c A, float* cond)
-
ElError
ElMaxCondition_z(ElConstMatrix_z A, double* cond)
-
ElError
ElMaxConditionDist_s(ElConstDistMatrix_s A, float* cond)
-
ElError
ElMaxConditionDist_d(ElConstDistMatrix_d A, double* cond)
-
ElError
ElMaxConditionDist_c(ElConstDistMatrix_c A, float* cond)
-
ElError
ElMaxConditionDist_z(ElConstDistMatrix_z A, double* cond)
One norm
Returns the condition number with respect to the one norm.
C API
-
ElError
ElOneCondition_s(ElConstMatrix_s A, float* cond)
-
ElError
ElOneCondition_d(ElConstMatrix_d A, double* cond)
-
ElError
ElOneCondition_c(ElConstMatrix_c A, float* cond)
-
ElError
ElOneCondition_z(ElConstMatrix_z A, double* cond)
-
ElError
ElOneConditionDist_s(ElConstDistMatrix_s A, float* cond)
-
ElError
ElOneConditionDist_d(ElConstDistMatrix_d A, double* cond)
-
ElError
ElOneConditionDist_c(ElConstDistMatrix_c A, float* cond)
-
ElError
ElOneConditionDist_z(ElConstDistMatrix_z A, double* cond)
Two norm
Returns the condition number with respect to the two norm.
C API
-
ElError
ElTwoCondition_s(ElConstMatrix_s A, float* cond)
-
ElError
ElTwoCondition_d(ElConstMatrix_d A, double* cond)
-
ElError
ElTwoCondition_c(ElConstMatrix_c A, float* cond)
-
ElError
ElTwoCondition_z(ElConstMatrix_z A, double* cond)
-
ElError
ElTwoConditionDist_s(ElConstDistMatrix_s A, float* cond)
-
ElError
ElTwoConditionDist_d(ElConstDistMatrix_d A, double* cond)
-
ElError
ElTwoConditionDist_c(ElConstDistMatrix_c A, float* cond)
-
ElError
ElTwoConditionDist_z(ElConstDistMatrix_z A, double* cond)
