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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
  Altaxo.Calc.Ode.Obsolete.DVodeDGESL

Namespace: Altaxo.Calc.Ode.Obsolete.DVode
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax
C#
public class DGESL

The DGESL type exposes the following members.

Constructors
 NameDescription
Public methodDGESLInitializes a new instance of the DGESL class
Public methodDGESL(DDOT, DAXPY)Initializes a new instance of the DGESL class
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Methods
 NameDescription
Public methodEqualsDetermines whether the specified object is equal to the current object.
(Inherited from Object)
Protected methodFinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object)
Public methodGetHashCodeServes as the default hash function.
(Inherited from Object)
Public methodGetTypeGets the Type of the current instance.
(Inherited from Object)
Protected methodMemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
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
Public methodToStringReturns a string that represents the current object.
(Inherited from Object)
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See Also