ptts2#

Functions

void sptts2(
    const INT           n,
    const INT           nrhs,
    const f32* restrict D,
    const f32* restrict E,
          f32* restrict B,
    const INT           ldb
);
void sptts2(const INT n, const INT nrhs, const f32 *restrict D, const f32 *restrict E, f32 *restrict B, const INT ldb)#

SPTTS2 solves a tridiagonal system of the form A * X = B using the L*D*L**T factorization of A computed by SPTTRF.

D is a diagonal matrix specified in the vector D, L is a unit bidiagonal matrix whose subdiagonal is specified in the vector E, and X and B are N by NRHS matrices.

Parameters

in
n

The order of the tridiagonal matrix A. n>=0.

in
nrhs

The number of right hand sides, i.e., the number of columns of the matrix B. nrhs>=0.

in
D

Array of dimension n. The n diagonal elements of the diagonal matrix D from the L*D*L**T factorization of A.

in
E

Array of dimension n-1. The (n-1) subdiagonal elements of the unit bidiagonal factor L from the L*D*L**T factorization of A. E can also be regarded as the superdiagonal of the unit bidiagonal factor U from the factorization A = U**T*D*U.

inout
B

Array of dimension (ldb,nrhs). On entry, the right hand side vectors B for the system of linear equations. On exit, the solution vectors, X.

in
ldb

The leading dimension of the array B. ldb>=max(1,n).

Functions

void dptts2(
    const INT           n,
    const INT           nrhs,
    const f64* restrict D,
    const f64* restrict E,
          f64* restrict B,
    const INT           ldb
);
void dptts2(const INT n, const INT nrhs, const f64 *restrict D, const f64 *restrict E, f64 *restrict B, const INT ldb)#

DPTTS2 solves a tridiagonal system of the form A * X = B using the L*D*L**T factorization of A computed by DPTTRF.

D is a diagonal matrix specified in the vector D, L is a unit bidiagonal matrix whose subdiagonal is specified in the vector E, and X and B are N by NRHS matrices.

Parameters

in
n

The order of the tridiagonal matrix A. n>=0.

in
nrhs

The number of right hand sides, i.e., the number of columns of the matrix B. nrhs>=0.

in
D

Array of dimension n. The n diagonal elements of the diagonal matrix D from the L*D*L**T factorization of A.

in
E

Array of dimension n-1. The (n-1) subdiagonal elements of the unit bidiagonal factor L from the L*D*L**T factorization of A. E can also be regarded as the superdiagonal of the unit bidiagonal factor U from the factorization A = U**T*D*U.

inout
B

Array of dimension (ldb,nrhs). On entry, the right hand side vectors B for the system of linear equations. On exit, the solution vectors, X.

in
ldb

The leading dimension of the array B. ldb>=max(1,n).

Functions

void cptts2(
    const INT           iuplo,
    const INT           n,
    const INT           nrhs,
    const f32* restrict D,
    const c64* restrict E,
          c64* restrict B,
    const INT           ldb
);
void cptts2(const INT iuplo, const INT n, const INT nrhs, const f32 *restrict D, const c64 *restrict E, c64 *restrict B, const INT ldb)#

CPTTS2 solves a tridiagonal system of the form A * X = B using the factorization A = U**H*D*U or A = L*D*L**H computed by CPTTRF.

D is a diagonal matrix specified in the vector D, U (or L) is a unit bidiagonal matrix whose superdiagonal (subdiagonal) is specified in the vector E, and X and B are N by NRHS matrices.

Parameters

in
iuplo

  • 1: A = U**H*D*U, E is the superdiagonal of U

  • 0: A = L*D*L**H, E is the subdiagonal of L

in
n

The order of the tridiagonal matrix A. n>=0.

in
nrhs

The number of right hand sides, i.e., the number of columns of the matrix B. nrhs>=0.

in
D

Array of dimension n. The n diagonal elements of the diagonal matrix D from the factorization A = U**H*D*U or A = L*D*L**H.

in
E

Complex array of dimension n-1. If iuplo=1, the (n-1) superdiagonal elements of the unit bidiagonal factor U from the factorization A = U**H*D*U. If iuplo=0, the (n-1) subdiagonal elements of the unit bidiagonal factor L from the factorization A = L*D*L**H.

inout
B

Complex array of dimension (ldb,nrhs). On entry, the right hand side vectors B for the system of linear equations. On exit, the solution vectors, X.

in
ldb

The leading dimension of the array B. ldb>=max(1,n).

Functions

void zptts2(
    const INT            iuplo,
    const INT            n,
    const INT            nrhs,
    const f64*  restrict D,
    const c128* restrict E,
          c128* restrict B,
    const INT            ldb
);
void zptts2(const INT iuplo, const INT n, const INT nrhs, const f64 *restrict D, const c128 *restrict E, c128 *restrict B, const INT ldb)#

ZPTTS2 solves a tridiagonal system of the form A * X = B using the factorization A = U**H*D*U or A = L*D*L**H computed by ZPTTRF.

D is a diagonal matrix specified in the vector D, U (or L) is a unit bidiagonal matrix whose superdiagonal (subdiagonal) is specified in the vector E, and X and B are N by NRHS matrices.

Parameters

in
iuplo

  • 1: A = U**H*D*U, E is the superdiagonal of U

  • 0: A = L*D*L**H, E is the subdiagonal of L

in
n

The order of the tridiagonal matrix A. n>=0.

in
nrhs

The number of right hand sides, i.e., the number of columns of the matrix B. nrhs>=0.

in
D

Array of dimension n. The n diagonal elements of the diagonal matrix D from the factorization A = U**H*D*U or A = L*D*L**H.

in
E

Complex array of dimension n-1. If iuplo=1, the (n-1) superdiagonal elements of the unit bidiagonal factor U from the factorization A = U**H*D*U. If iuplo=0, the (n-1) subdiagonal elements of the unit bidiagonal factor L from the factorization A = L*D*L**H.

inout
B

Complex array of dimension (ldb,nrhs). On entry, the right hand side vectors B for the system of linear equations. On exit, the solution vectors, X.

in
ldb

The leading dimension of the array B. ldb>=max(1,n).