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DGESL Class

***PURPOSE Solve the real system A*X=B or TRANS(A)*X=B using the factors computed by DGECO or DGEFA. ***CATEGORY D2A1 ***TYPE DOUBLE PRECISION (SGESL-S, DGESL-D, CGESL-C) ***KEYWORDS LINEAR ALGEBRA, LINPACK, MATRIX, SOLVE ***AUTHOR Moler, C. B., (U. of New Mexico) ***DESCRIPTION DGESL solves the double precision system A * X = B or TRANS(A) * X = B using the factors computed by DGECO or DGEFA. On Entry A DOUBLE PRECISION(LDA, N) the output from DGECO or DGEFA. LDA INTEGER the leading dimension of the array A . N INTEGER the order of the matrix A . IPVT INTEGER(N) the pivot vector from DGECO or DGEFA. B DOUBLE PRECISION(N) the right hand side vector. JOB INTEGER = 0 to solve A*X = B , = nonzero to solve TRANS(A)*X = B where TRANS(A) is the transpose. On Return B the solution vector X . Error Condition A division by zero will occur if the input factor contains a zero on the diagonal. Technically this indicates singularity but it is often caused by improper arguments or improper setting of LDA . It will not occur if the subroutines are called correctly and if DGECO has set RCOND .GT. 0.0 or DGEFA has set INFO .EQ. 0 . To compute INVERSE(A) * C where C is a matrix with P columns CALL DGECO(A,LDA,N,IPVT,RCOND,Z) IF (RCOND is too small) GO TO ... DO 10 J = 1, P CALL DGESL(A,LDA,N,IPVT,C(1,J),0) 10 CONTINUE ***REFERENCES J. J. Dongarra, J. R. Bunch, C. B. Moler, and G. W. Stewart, LINPACK Users' Guide, SIAM, 1979. ***ROUTINES CALLED DAXPY, DDOT ***REVISION HISTORY (YYMMDD) 780814 DATE WRITTEN 890831 Modified array declarations. (WRB) 890831 REVISION DATE from Version 3.2 891214 Prologue converted to Version 4.0 format. (BAB) 900326 Removed duplicate information from DESCRIPTION section. (WRB) 920501 Reformatted the REFERENCES section. (WRB) ***END PROLOGUE DGESL ***FIRST EXECUTABLE STATEMENT DGESL
Inheritance Hierarchy
SystemObject
  DotNumerics.ODE.DVodeDGESL

Namespace: DotNumerics.ODE.DVode
Assembly: DWSIM.MathOps.DotNumerics (in DWSIM.MathOps.DotNumerics.dll) Version: 1.0.0.0 (1.0.0.0)
Syntax
public class DGESL
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The DGESL type exposes the following members.

Constructors
 NameDescription
Public methodDGESL 
Public methodDGESL(DDOT, DAXPY) 
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Methods
 NameDescription
Public methodRun ***PURPOSE Solve the real system A*X=B or TRANS(A)*X=B using the factors computed by DGECO or DGEFA. ***CATEGORY D2A1 ***TYPE DOUBLE PRECISION (SGESL-S, DGESL-D, CGESL-C) ***KEYWORDS LINEAR ALGEBRA, LINPACK, MATRIX, SOLVE ***AUTHOR Moler, C. B., (U. of New Mexico) ***DESCRIPTION DGESL solves the double precision system A * X = B or TRANS(A) * X = B using the factors computed by DGECO or DGEFA. On Entry A DOUBLE PRECISION(LDA, N) the output from DGECO or DGEFA. LDA INTEGER the leading dimension of the array A . N INTEGER the order of the matrix A . IPVT INTEGER(N) the pivot vector from DGECO or DGEFA. B DOUBLE PRECISION(N) the right hand side vector. JOB INTEGER = 0 to solve A*X = B , = nonzero to solve TRANS(A)*X = B where TRANS(A) is the transpose. On Return B the solution vector X . Error Condition A division by zero will occur if the input factor contains a zero on the diagonal. Technically this indicates singularity but it is often caused by improper arguments or improper setting of LDA . It will not occur if the subroutines are called correctly and if DGECO has set RCOND .GT. 0.0 or DGEFA has set INFO .EQ. 0 . To compute INVERSE(A) * C where C is a matrix with P columns CALL DGECO(A,LDA,N,IPVT,RCOND,Z) IF (RCOND is too small) GO TO ... DO 10 J = 1, P CALL DGESL(A,LDA,N,IPVT,C(1,J),0) 10 CONTINUE ***REFERENCES J. J. Dongarra, J. R. Bunch, C. B. Moler, and G. W. Stewart, LINPACK Users' Guide, SIAM, 1979. ***ROUTINES CALLED DAXPY, DDOT ***REVISION HISTORY (YYMMDD) 780814 DATE WRITTEN 890831 Modified array declarations. (WRB) 890831 REVISION DATE from Version 3.2 891214 Prologue converted to Version 4.0 format. (BAB) 900326 Removed duplicate information from DESCRIPTION section. (WRB) 920501 Reformatted the REFERENCES section. (WRB) ***END PROLOGUE DGESL ***FIRST EXECUTABLE STATEMENT DGESL
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Fields
 NameDescription
Private field_daxpy 
Private field_ddot 
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Extension Methods
 NameDescription
Public Extension MethodGetEnumNames
(Defined by General)
Public Extension MethodIsValidDouble
(Defined by General)
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See Also