DGBSL Class

***PURPOSE Solve the real band system A*X=B or TRANS(A)*X=B using the factors computed by DGBCO or DGBFA. ***CATEGORY D2A2 ***TYPE DOUBLE PRECISION (SGBSL-S, DGBSL-D, CGBSL-C) ***KEYWORDS BANDED, LINEAR ALGEBRA, LINPACK, MATRIX, SOLVE ***AUTHOR Moler, C. B., (U. of New Mexico) ***DESCRIPTION DGBSL solves the double precision band system A * X = B or TRANS(A) * X = B using the factors computed by DGBCO or DGBFA. On Entry ABD DOUBLE PRECISION(LDA, N) the output from DGBCO or DGBFA. LDA INTEGER the leading dimension of the array ABD . N INTEGER the order of the original matrix. ML INTEGER number of diagonals below the main diagonal. MU INTEGER number of diagonals above the main diagonal. IPVT INTEGER(N) the pivot vector from DGBCO or DGBFA. 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 DGBCO has set RCOND .GT. 0.0 or DGBFA has set INFO .EQ. 0 . To compute INVERSE(A) * C where C is a matrix with P columns CALL DGBCO(ABD,LDA,N,ML,MU,IPVT,RCOND,Z) IF (RCOND is too small) GO TO ... DO 10 J = 1, P CALL DGBSL(ABD,LDA,N,ML,MU,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 890531 Changed all specific intrinsics to generic. (WRB) 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 DGBSL ***FIRST EXECUTABLE STATEMENT DGBSL

Inheritance Hierarchy

SystemObject
Altaxo.Calc.Ode.Obsolete.DVodeDGBSL

Namespace: Altaxo.Calc.Ode.Obsolete.DVode
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)

Syntax

Copy

public class DGBSL

The DGBSL type exposes the following members.

Constructors

	Name	Description
	DGBSL	Initializes a new instance of the DGBSL class
	DGBSL(DDOT, DAXPY)	Initializes a new instance of the DGBSL class

Top

Methods

	Name	Description
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object)
	GetHashCode	Serves as the default hash function. (Inherited from Object)
	GetType	Gets the Type of the current instance. (Inherited from Object)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object)
	Run	**PURPOSE Solve the real band system AX=B or TRANS(A)X=B using the factors computed by DGBCO or DGBFA. CATEGORY D2A2 TYPE DOUBLE PRECISION (SGBSL-S, DGBSL-D, CGBSL-C) KEYWORDS BANDED, LINEAR ALGEBRA, LINPACK, MATRIX, SOLVE AUTHOR Moler, C. B., (U. of New Mexico) *DESCRIPTION DGBSL solves the double precision band system A X = B or TRANS(A) * X = B using the factors computed by DGBCO or DGBFA. On Entry ABD DOUBLE PRECISION(LDA, N) the output from DGBCO or DGBFA. LDA INTEGER the leading dimension of the array ABD . N INTEGER the order of the original matrix. ML INTEGER number of diagonals below the main diagonal. MU INTEGER number of diagonals above the main diagonal. IPVT INTEGER(N) the pivot vector from DGBCO or DGBFA. B DOUBLE PRECISION(N) the right hand side vector. JOB INTEGER = 0 to solve AX = 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 DGBCO has set RCOND .GT. 0.0 or DGBFA has set INFO .EQ. 0 . To compute INVERSE(A) * C where C is a matrix with P columns CALL DGBCO(ABD,LDA,N,ML,MU,IPVT,RCOND,Z) IF (RCOND is too small) GO TO ... DO 10 J = 1, P CALL DGBSL(ABD,LDA,N,ML,MU,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 890531 Changed all specific intrinsics to generic. (WRB) 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 DGBSL **FIRST EXECUTABLE STATEMENT DGBSL
	ToString	Returns a string that represents the current object. (Inherited from Object)

Top

Reference

Altaxo.Calc.Ode.Obsolete.DVode Namespace