fortran-lapack
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la_lapack::geequb Interface Reference

GEEQUB: computes row and column scalings intended to equilibrate an M-by-N matrix A and reduce its condition number. R returns the row scale factors and C the column scale factors, chosen to try to make the largest element in each row and column of the matrix B with elements B(i,j)=R(i)*A(i,j)*C(j) have an absolute value of at most the radix. R(i) and C(j) are restricted to be a power of the radix between SMLNUM = smallest safe number and BIGNUM = largest safe number. Use of these scaling factors is not guaranteed to reduce the condition number of A but works well in practice. This routine differs from CGEEQU by restricting the scaling factors to a power of the radix. Barring over- and underflow, scaling by these factors introduces no additional rounding errors. However, the scaled entries' magnitudes are no longer approximately 1 but lie between sqrt(radix) and 1/sqrt(radix). More...

Public Member Functions

 la_cgeequb
 
 la_dgeequb
 
 la_qgeequb
 
 la_sgeequb
 
 la_wgeequb
 
 la_zgeequb
 

Detailed Description

GEEQUB: computes row and column scalings intended to equilibrate an M-by-N matrix A and reduce its condition number. R returns the row scale factors and C the column scale factors, chosen to try to make the largest element in each row and column of the matrix B with elements B(i,j)=R(i)*A(i,j)*C(j) have an absolute value of at most the radix. R(i) and C(j) are restricted to be a power of the radix between SMLNUM = smallest safe number and BIGNUM = largest safe number. Use of these scaling factors is not guaranteed to reduce the condition number of A but works well in practice. This routine differs from CGEEQU by restricting the scaling factors to a power of the radix. Barring over- and underflow, scaling by these factors introduces no additional rounding errors. However, the scaled entries' magnitudes are no longer approximately 1 but lie between sqrt(radix) and 1/sqrt(radix).

Member Function/Subroutine Documentation

◆ la_cgeequb()

la_lapack::geequb::la_cgeequb

◆ la_dgeequb()

la_lapack::geequb::la_dgeequb

◆ la_qgeequb()

la_lapack::geequb::la_qgeequb

◆ la_sgeequb()

la_lapack::geequb::la_sgeequb

◆ la_wgeequb()

la_lapack::geequb::la_wgeequb

◆ la_zgeequb()

la_lapack::geequb::la_zgeequb

The documentation for this interface was generated from the following file: