CLAPTM(3)
Welcome to CLAPTM(3) from the Library Functions Manual, bestie π this is the group chat for the CLAPTM subroutine, and we are keeping every last detail β periodt.
π NAME π
/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/claptm.f β thatβs the file this page is repping, no cap.
β¨ SYNOPSIS β¨
πΈ Functions/Subroutines πΈ
subroutine CLAPTM (uplo, n, nrhs, alpha, d, e, x, ldx, beta, b, ldb)βCLAPTM(the one and only π )
π¦ Function/Subroutine Documentation π¦
subroutine CLAPTM (character uplo, integer n, integer nrhs, real alpha,
real, dimension( * ) d, complex, dimension( * ) e, complex, dimension(
ldx, * ) x, integer ldx, real beta, complex, dimension( ldb, * ) b,
integer ldb)
CLAPTM β¨ yes bestie, itβs giving main character energy.
π― Purpose π―
Okay so CLAPTM multiplies an N by NRHS matrix X by a Hermitian tridiagonal matrix A and stores the result in a matrix B. The operation has the form:
B := alpha * A * X + beta * B
where alpha may be either 1. or -1. and beta may be 0., 1., or -1. π
π Parameters π
UPLOβUPLO is CHARACTER. Specifies whether the superdiagonal or the subdiagonal of the tridiagonal matrixAis stored.= 'U': Upper,Eis the superdiagonal ofA.= 'L': Lower,Eis the subdiagonal ofA.NβN is INTEGER. The order of the matrixA.N >= 0.NRHSβNRHS is INTEGER. The number of right hand sides, i.e., the number of columns of the matricesXandB.ALPHAβALPHA is REAL. The scalaralpha.ALPHAmust be1.or-1.; otherwise, it is assumed to be0.DβD is REAL array, dimension (N). Thendiagonal elements of the tridiagonal matrixA.EβE is COMPLEX array, dimension (N-1). The(n-1)subdiagonal or superdiagonal elements ofA.XβX is COMPLEX array, dimension (LDX,NRHS). TheNbyNRHSmatrixX.LDXβLDX is INTEGER. The leading dimension of the arrayX.LDX >= max(N,1).BETAβBETA is REAL. The scalarbeta.BETAmust be0.,1., or-1.; otherwise, it is assumed to be1.BβB is COMPLEX array, dimension (LDB,NRHS). On entry, theNbyNRHSmatrixB. On exit,Bis overwritten by the matrix expressionB := alpha * A * X + beta * B.LDBβLDB is INTEGER. The leading dimension of the arrayB.LDB >= max(N,1).
π Author
- Univ. of Tennessee
- Univ. of California Berkeley
- Univ. of Colorado Denver
- NAG Ltd.
Definition at line 127 of file claptm.f.
π Author
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