spcon#
Functions
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void sspcon(const char *uplo, const INT n, const f32 *restrict AP, const INT *restrict ipiv, const f32 anorm, f32 *rcond, f32 *restrict work, INT *restrict iwork, INT *info)#
SSPCON estimates the reciprocal of the condition number (in the 1-norm) of a real symmetric packed matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by SSPTRF.
An estimate is obtained for norm(inv(A)), and the reciprocal of the condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
Parameters
inuplo= ‘U’: Upper triangular, form is A = U*D*U**T = ‘L’: Lower triangular, form is A = L*D*L**T
innThe order of the matrix A. n >= 0.
inAPThe block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by SSPTRF, stored as a packed triangular matrix. Array of dimension (n*(n+1)/2).
inipivDetails of the interchanges and the block structure of D as determined by SSPTRF. Array of dimension (n).
inanormThe 1-norm of the original matrix A.
outrcondThe reciprocal of the condition number of the matrix A.
outworkWorkspace array of dimension (2*n).
outiworkInteger workspace array of dimension (n).
outinfo= 0: successful exit
< 0: if info = -i, the i-th argument had an illegal value
void sspcon(
const char* uplo,
const INT n,
const f32* restrict AP,
const INT* restrict ipiv,
const f32 anorm,
f32* rcond,
f32* restrict work,
INT* restrict iwork,
INT* info
);
Functions
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void dspcon(const char *uplo, const INT n, const f64 *restrict AP, const INT *restrict ipiv, const f64 anorm, f64 *rcond, f64 *restrict work, INT *restrict iwork, INT *info)#
DSPCON estimates the reciprocal of the condition number (in the 1-norm) of a real symmetric packed matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by DSPTRF.
An estimate is obtained for norm(inv(A)), and the reciprocal of the condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
Parameters
inuplo= ‘U’: Upper triangular, form is A = U*D*U**T = ‘L’: Lower triangular, form is A = L*D*L**T
innThe order of the matrix A. n >= 0.
inAPThe block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by DSPTRF, stored as a packed triangular matrix. Array of dimension (n*(n+1)/2).
inipivDetails of the interchanges and the block structure of D as determined by DSPTRF. Array of dimension (n).
inanormThe 1-norm of the original matrix A.
outrcondThe reciprocal of the condition number of the matrix A.
outworkWorkspace array of dimension (2*n).
outiworkInteger workspace array of dimension (n).
outinfo= 0: successful exit
< 0: if info = -i, the i-th argument had an illegal value
void dspcon(
const char* uplo,
const INT n,
const f64* restrict AP,
const INT* restrict ipiv,
const f64 anorm,
f64* rcond,
f64* restrict work,
INT* restrict iwork,
INT* info
);
Functions
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void cspcon(const char *uplo, const INT n, const c64 *restrict AP, const INT *restrict ipiv, const f32 anorm, f32 *rcond, c64 *restrict work, INT *info)#
CSPCON estimates the reciprocal of the condition number (in the 1-norm) of a complex symmetric packed matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSPTRF.
An estimate is obtained for norm(inv(A)), and the reciprocal of the condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
Parameters
inuplo= ‘U’: Upper triangular, form is A = U*D*U**T = ‘L’: Lower triangular, form is A = L*D*L**T
innThe order of the matrix A. n >= 0.
inAPThe block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by CSPTRF, stored as a packed triangular matrix. Array of dimension (n*(n+1)/2).
inipivDetails of the interchanges and the block structure of D as determined by CSPTRF. Array of dimension (n).
inanormThe 1-norm of the original matrix A.
outrcondThe reciprocal of the condition number of the matrix A.
outworkWorkspace array of dimension (2*n).
outinfo= 0: successful exit
< 0: if info = -i, the i-th argument had an illegal value
void cspcon(
const char* uplo,
const INT n,
const c64* restrict AP,
const INT* restrict ipiv,
const f32 anorm,
f32* rcond,
c64* restrict work,
INT* info
);
Functions
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void zspcon(const char *uplo, const INT n, const c128 *restrict AP, const INT *restrict ipiv, const f64 anorm, f64 *rcond, c128 *restrict work, INT *info)#
ZSPCON estimates the reciprocal of the condition number (in the 1-norm) of a complex symmetric packed matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by ZSPTRF.
An estimate is obtained for norm(inv(A)), and the reciprocal of the condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
Parameters
inuplo= ‘U’: Upper triangular, form is A = U*D*U**T = ‘L’: Lower triangular, form is A = L*D*L**T
innThe order of the matrix A. n >= 0.
inAPThe block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ZSPTRF, stored as a packed triangular matrix. Array of dimension (n*(n+1)/2).
inipivDetails of the interchanges and the block structure of D as determined by ZSPTRF. Array of dimension (n).
inanormThe 1-norm of the original matrix A.
outrcondThe reciprocal of the condition number of the matrix A.
outworkWorkspace array of dimension (2*n).
outinfo= 0: successful exit
< 0: if info = -i, the i-th argument had an illegal value
void zspcon(
const char* uplo,
const INT n,
const c128* restrict AP,
const INT* restrict ipiv,
const f64 anorm,
f64* rcond,
c128* restrict work,
INT* info
);