Documentation
¶
Index ¶
- func Gbsv(A, B matrix.Matrix, ipiv []int32, kl int, opts ...linalg.Option) error
- func GbsvComplex(A, B *matrix.ComplexMatrix, ipiv []int32, kl int, opts ...linalg.Option) error
- func GbsvFloat(A, B *matrix.FloatMatrix, ipiv []int32, kl int, opts ...linalg.Option) error
- func Gbtrf(A matrix.Matrix, ipiv []int32, M, KL int, opts ...linalg.Option) error
- func GbtrfFloat(A *matrix.FloatMatrix, ipiv []int32, M, KL int, opts ...linalg.Option) error
- func Gbtrs(A, B matrix.Matrix, ipiv []int32, KL int, opts ...linalg.Option) error
- func GbtrsFloat(A, B *matrix.FloatMatrix, ipiv []int32, KL int, opts ...linalg.Option) error
- func Geqrf(A, tau matrix.Matrix, opts ...linalg.Option) error
- func Gesv(A, B matrix.Matrix, ipiv []int32, opts ...linalg.Option) error
- func Gesvd(A, S, U, Vt matrix.Matrix, opts ...linalg.Option) error
- func GesvdComplex(A, S, U, Vt *matrix.ComplexMatrix, opts ...linalg.Option) error
- func GesvdFloat(A, S, U, Vt *matrix.FloatMatrix, opts ...linalg.Option) error
- func Getrf(A matrix.Matrix, ipiv []int32, opts ...linalg.Option) error
- func Getri(A matrix.Matrix, ipiv []int32, opts ...linalg.Option) error
- func Getrs(A, B matrix.Matrix, ipiv []int32, opts ...linalg.Option) error
- func Gtrrf(DL, D, DU, DU2 matrix.Matrix, ipiv []int32, opts ...linalg.Option) error
- func Gtrrs(DL, D, DU, DU2, B matrix.Matrix, ipiv []int32, opts ...linalg.Option) error
- func Ormqf(A, tau, C matrix.Matrix, opts ...linalg.Option) error
- func Posv(A, B matrix.Matrix, opts ...linalg.Option) error
- func PosvComplex(A, B *matrix.ComplexMatrix, opts ...linalg.Option) error
- func PosvFloat(A, B *matrix.FloatMatrix, opts ...linalg.Option) error
- func Potrf(A matrix.Matrix, opts ...linalg.Option) error
- func PotrfFloat(A *matrix.FloatMatrix, opts ...linalg.Option) error
- func Potri(A matrix.Matrix, opts ...linalg.Option) error
- func PotriFloat(A *matrix.FloatMatrix, opts ...linalg.Option) error
- func Potrs(A, B matrix.Matrix, opts ...linalg.Option) error
- func Syevd(A, W matrix.Matrix, opts ...linalg.Option) error
- func SyevdFloat(A, W *matrix.FloatMatrix, opts ...linalg.Option) error
- func Syevr(A, W, Z matrix.Matrix, abstol float64, vlimit []float64, ilimit []int, ...) error
- func SyevrFloat(A, W, Z matrix.Matrix, abstol float64, vlimit []float64, ilimit []int, ...) error
- func Syevx(A, W, Z matrix.Matrix, abstol float64, vlimit []float64, ilimit []int, ...) error
- func SyevxFloat(A, W, Z matrix.Matrix, abstol float64, vlimit []float64, ilimit []int, ...) error
- func Sytrf(A matrix.Matrix, ipiv []int32, opts ...linalg.Option) error
- func SytrfComplex(A *matrix.ComplexMatrix, ipiv []int32, opts ...linalg.Option) error
- func SytrfFloat(A *matrix.FloatMatrix, ipiv []int32, opts ...linalg.Option) error
- func Sytrs(A, B matrix.Matrix, ipiv []int32, opts ...linalg.Option) error
- func Trtrs(A, B matrix.Matrix, ipiv []int32, opts ...linalg.Option) error
Constants ¶
This section is empty.
Variables ¶
This section is empty.
Functions ¶
func Gbsv ¶
Solves a real or complex set of linear equations with a banded coefficient matrix.
PURPOSE ¶
Solves A*X = B
A an n by n real or complex band matrix with kl subdiagonals and ku superdiagonals.
If ipiv is provided, then on entry the kl+ku+1 diagonals of the matrix are stored in rows kl+1 to 2*kl+ku+1 of A, in the BLAS format for general band matrices. On exit, A and ipiv contain the details of the factorization. If ipiv is not provided, then on entry the diagonals of the matrix are stored in rows 1 to kl+ku+1 of A, and Gbsv() does not return the factorization and does not modify A. On exit B is replaced with solution X.
ARGUMENTS.
A float or complex banded matrix B float or complex matrix. Must have the same type as A. kl nonnegative integer ipiv int array of length at least n
OPTIONS
ku nonnegative integer. If negative, the default value is
used. The default value is A.Rows-kl-1 if ipiv is
not provided, and A.Rows-2*kl-1 otherwise.
n nonnegative integer. If negative, the default value is used.
nrhs nonnegative integer. If negative, the default value is used.
ldA positive integer. ldA >= kl+ku+1 if ipiv is not provided
and ldA >= 2*kl+ku+1 if ipiv is provided. If zero, the
default value is used.
ldB positive integer. ldB >= max(1,n). If zero, the default
default value is used.
offsetA nonnegative integer
offsetB nonnegative integer;
func GbsvComplex ¶
func Gbtrf ¶
LU factorization of a real or complex m by n band matrix.
PURPOSE ¶
Computes the LU factorization of an m by n band matrix with kl subdiagonals and ku superdiagonals. On entry, the diagonals are stored in rows kl+1 to 2*kl+ku+1 of the array A, in the BLAS format for general band matrices. On exit A and ipiv contains the factorization.
ARGUMENTS
A float or complex matrix ipiv int array of length at least min(m,n) m nonnegative integer kl nonnegative integer.
OPTIONS
n nonnegative integer, default =A.Cols() ku nonnegative integer. default = A.Rows()-2*kl+1 ldA positive integer, ldA >= 2*kl+ku+1. default = min(1, A.Rows()) offsetA nonnegative integer
func GbtrfFloat ¶
func Gbtrs ¶
Solves a real or complex set of linear equations with a banded coefficient matrix, given the LU factorization computed by gbtrf() or gbsv().
PURPOSE ¶
Solves linear equations
A*X = B, if trans is PNoTrans A^T*X = B, if trans is PTrans A^H*X = B, if trans is PConjTrans
On entry, A and ipiv contain the LU factorization of an n by n band matrix A as computed by Getrf() or Gbsv(). On exit B is replaced by the solution X.
ARGUMENTS
A float or complex matrix B float or complex matrix. Must have the same type as A. ipiv int vector kl nonnegative integer
OPTIONS
trans PNoTrans, PTrans or PConjTrans n nonnegative integer. If negative, the default value is used. ku nonnegative integer. If negative, the default value is used. nrhs nonnegative integer. If negative, the default value is used. ldA positive integer, ldA >= 2*kl+ku+1. If zero, the default value is used. ldB positive integer, ldB >= max(1,n). If zero, the default value is used. offsetA nonnegative integer offsetB nonnegative integer;
func GbtrsFloat ¶
func Geqrf ¶
QR factorization.
PURPOSE ¶
QR factorization of an m by n real or complex matrix A:
A = Q*R = [Q1 Q2] * [R1; 0] if m >= n A = Q*R = Q * [R1 R2] if m <= n,
where Q is m by m and orthogonal/unitary and R is m by n with R1 upper triangular. On exit, R is stored in the upper triangular part of A. Q is stored as a product of k=min(m,n) elementary reflectors. The parameters of the reflectors are stored in the first k entries of tau and in the lower triangular part of the first k columns of A.
ARGUMENTS
A float or complex matrix
tau float or complex matrix of length at least min(m,n). Must
have the same type as A.
m integer. If negative, the default value is used.
n integer. If negative, the default value is used.
ldA nonnegative integer. ldA >= max(1,m). If zero, the
default value is used.
offsetA nonnegative integer
func Gesv ¶
Solves a general real or complex set of linear equations.
PURPOSE ¶
Solves A*X=B with A n by n real or complex.
If ipiv is provided, then on exit A is overwritten with the details of the LU factorization, and ipiv contains the permutation matrix. If ipiv is not provided, then gesv() does not return the factorization and does not modify A. On exit B is replaced with the solution X.
ARGUMENTS.
A float or complex matrix B float or complex matrix. Must have the same type as A. ipiv int vector of length at least n
OPTIONS:
n nonnegative integer. If negative, the default value is used. nrhs nonnegative integer. If negative, the default value is used. ldA positive integer. ldA >= max(1,n). If zero, the default value is used. ldB positive integer. ldB >= max(1,n). If zero, the default value is used. offsetA nonnegative integer offsetA nonnegative integer;
func Gesvd ¶
Singular value decomposition of a real or complex matrix.
PURPOSE ¶
Computes singular values and, optionally, singular vectors of a real or complex m by n matrix A.
The argument jobu controls how many left singular vectors are computed:
PJobNo : no left singular vectors are computed.
PJobAll: all left singular vectors are computed and returned as
columns of U.
PJobS : the first min(m,n) left singular vectors are computed and
returned as columns of U.
PJobO : the first min(m,n) left singular vectors are computed and
returned as columns of A.
The argument jobvt controls how many right singular vectors are computed:
PJobNo : no right singular vectors are computed.
PJobAll: all right singular vectors are computed and returned as
rows of Vt.
PJobS : the first min(m,n) right singular vectors are computed and
returned as rows of Vt.
PJobO : the first min(m,n) right singular vectors are computed and
returned as rows of A.
Note that the (conjugate) transposes of the right singular vectors are returned in Vt or A. On exit (in all cases), the contents of A are destroyed.
ARGUMENTS
A float or complex matrix
S float matrix of length at least min(m,n). On exit,
contains the computed singular values in descending order.
jobu PJobNo, PJobAll, PJobS or PJobO
jobvt PJobNo, PJobAll, PJobS or PJobO
U float or complex matrix. Must have the same type as A.
Not referenced if jobu is PJobNo or PJobO. If jobu is PJobAll,
a matrix with at least m columns. If jobu is PJobS, a
matrix with at least min(m,n) columns.
On exit (with jobu PJobAll or PJobS), the columns of U
contain the computed left singular vectors.
Vt float or complex matrix. Must have the same type as A.
Not referenced if jobvt is PJobNo or PJobO. If jobvt is
PJobAll or PJobS, a matrix with at least n columns.
On exit (with jobvt PJobAll or PJobS), the rows of Vt
contain the computed right singular vectors, or, in
the complex case, their complex conjugates.
m integer. If negative, the default value is used.
n integer. If negative, the default value is used.
ldA nonnegative integer. ldA >= max(1,m).
If zero, the default value is used.
ldU nonnegative integer.
ldU >= 1 if jobu is PJobNo or PJobO
ldU >= max(1,m) if jobu is PJobAll or PJobS.
The default value is max(1,U.Rows) if jobu is PJobAll
or PJobS, and 1 otherwise.
If zero, the default value is used.
ldVt nonnegative integer.
ldVt >= 1 if jobvt is PJobNo or PJobO.
ldVt >= max(1,n) if jobvt is PJobAll.
ldVt >= max(1,min(m,n)) if ldVt is PJobS.
The default value is max(1,Vt.Rows) if jobvt is PJobAll
or PJobS, and 1 otherwise.
If zero, the default value is used.
offsetA nonnegative integer
offsetS nonnegative integer
offsetU nonnegative integer
offsetVt nonnegative integer
func GesvdComplex ¶
func GesvdComplex(A, S, U, Vt *matrix.ComplexMatrix, opts ...linalg.Option) error
func GesvdFloat ¶
func GesvdFloat(A, S, U, Vt *matrix.FloatMatrix, opts ...linalg.Option) error
func Getrf ¶
LU factorization of a general real or complex m by n matrix.
PURPOSE ¶
On exit, A is replaced with L, U in the factorization P*A = L*U and ipiv contains the permutation: P = P_min{m,n} * ... * P2 * P1 where Pi interchanges rows i and ipiv[i] of A (using the Fortran convention, i.e., the first row is numbered 1).
ARGUMENTS
A float or complex matrix ipiv int vector of length at least min(m,n)
OPTIONS
m nonnegative integer. If negative, the default value is used.
n nonnegative integer. If negative, the default value is used.
ldA positive integer. ldA >= max(1,m). If zero, the default
value is used.
offsetA nonnegative integer
func Getri ¶
Inverse of a real or complex matrix.
PURPOSE ¶
Computes the inverse of real or complex matrix of order n. On entry, A and ipiv contain the LU factorization, as returned by gesv() or getrf(). On exit A is replaced by the inverse.
ARGUMENTS
A float or complex matrix ipiv int vector
OPTIONS
n nonnegative integer. If negative, the default value is used.
ldA positive integer. ldA >= max(1,n). If zero, the default
value is used.
offsetA nonnegative integer;
func Getrs ¶
Solves a general real or complex set of linear equations, given the LU factorization computed by getrf() or gesv().
PURPOSE ¶
Solves equations
A*X = B, if trans is PNoTrans A^T*X = B, if trans is PTrans A^H*X = B, if trans is PConjTrans
On entry, A and ipiv contain the LU factorization of an n by n matrix A as computed by getrf() or gesv(). On exit B is replaced by the solution X.
ARGUMENTS
A float or complex matrix B float or complex matrix. Must have the same type as A. ipiv int vector
OPTIONS
trans PNoTrans, PTrans, PConjTrans n nonnegative integer. If negative, the default value is used. nrhs nonnegative integer. If negative, the default value is used. ldA positive integer. ldA >= max(1,n). If zero, the default value is used. ldB positive integer. ldB >= max(1,n). If zero, the default value is used. offsetA nonnegative integer offsetB nonnegative integer;
func Gtrrf ¶
LU factorization of a real or complex tridiagonal matrix.
PURPOSE ¶
Factors an n by n real or complex tridiagonal matrix A as A = P*L*U.
A is specified by its lower diagonal dl, diagonal d, and upper diagonal du. On exit dl, d, du, du2 and ipiv contain the details of the factorization.
ARGUMENTS.
DL float or complex matrix
D float or complex matrix. Must have the same type as DL.
DU float or complex matrix. Must have the same type as DL.
DU2 float or complex matrix of length at least n-2. Must have the
same type as DL.
ipiv int vector of length at least n
OPTIONS
n nonnegative integer. If negative, the default value is used. offsetdl nonnegative integer offsetd nonnegative integer offsetdu nonnegative integer
func Gtrrs ¶
Solves a real or complex tridiagonal set of linear equations, given the LU factorization computed by gttrf().
PURPOSE
solves A*X=B, if trans is PNoTrans solves A^T*X=B, if trans is PTrans solves A^H*X=B, if trans is PConjTrans
On entry, DL, D, DU, DU2 and ipiv contain the LU factorization of an n by n tridiagonal matrix A as computed by gttrf(). On exit B is replaced by the solution X.
ARGUMENTS.
DL float or complex matrix D float or complex matrix. Must have the same type as dl. DU float or complex matrix. Must have the same type as dl. DU2 float or complex matrix. Must have the same type as dl. B float or complex matrix. Must have the same type oas dl. ipiv int vector
OPTIONS
trans PNoTrans, PTrans, PConjTrans n nonnegative integer. If negative, the default value is used. nrhs nonnegative integer. If negative, the default value is used. ldB positive integer, ldB >= max(1,n). If zero, the default value is used. offsetdl nonnegative integer offsetd nonnegative integer offsetdu nonnegative integer offsetB nonnegative integer
func Ormqf ¶
Product with a real orthogonal matrix.
PURPOSE ¶
Computes
C := Q*C if side = PLeft and trans = PNoTrans C := Q^T*C if side = PLeft and trans = PTrans C := C*Q if side = PRight and trans = PNoTrans C := C*Q^T if side = PRight and trans = PTrans
C is m by n and Q is a square orthogonal matrix computed by geqrf.
Q is defined as a product of k elementary reflectors, stored as the first k columns of A and the first k entries of tau.
ARGUMENTS
A float matrix tau float matrix of length at least k C float matrix
OPTIONS
side PLeft or PRight
trans PNoTrans or PTrans
m integer. If negative, the default value is used.
n integer. If negative, the default value is used.
k integer. k <= m if side = PRight and k <= n if side = PLeft.
If negative, the default value is used.
ldA nonnegative integer. ldA >= max(1,m) if side = PLeft
and ldA >= max(1,n) if side = PRight. If zero, the
default value is used.
ldC nonnegative integer. ldC >= max(1,m). If zero, the
default value is used.
offsetA nonnegative integer
offsetB nonnegative integer
func Posv ¶
Solves a real symmetric or complex Hermitian positive definite set of linear equations.
PURPOSE ¶
Solves A*X = B with A n by n, real symmetric or complex Hermitian, and positive definite, and B n by nrhs. On exit, if uplo is PLower, the lower triangular part of A is replaced by L. If uplo is PUpper, the upper triangular part is replaced by L^H. B is replaced by the solution.
ARGUMENTS.
A float or complex matrix B float or complex matrix. Must have the same type as A.
OPTIONS
uplo PLower or PUpper n nonnegative integer. If negative, the default value is used. nrhs nonnegative integer. If negative, the default value is used. ldA positive integer. ldA >= max(1,n). If zero, the default value is used. ldB positive integer. ldB >= max(1,n). If zero, the default value is used. offsetA nonnegative integer offsetB nonnegative integer
func PosvComplex ¶
func PosvComplex(A, B *matrix.ComplexMatrix, opts ...linalg.Option) error
func Potrf ¶
Cholesky factorization of a real symmetric or complex Hermitian positive definite matrix.
PURPOSE ¶
Factors A as A=L*L^T or A = L*L^H, where A is n by n, real symmetric or complex Hermitian, and positive definite.
On exit, if uplo=PLower, the lower triangular part of A is replaced by L. If uplo=PUpper, the upper triangular part is replaced by L^T or L^H.
ARGUMENTS
A float or complex matrix
OPTIONS
uplo PLower or PUpper
n nonnegative integer. If negative, the default value is used.
ldA positive integer. ldA >= max(1,n). If zero, the default
value is used.
offsetA nonnegative integer
func PotrfFloat ¶
func PotrfFloat(A *matrix.FloatMatrix, opts ...linalg.Option) error
func Potri ¶
Inverse of a real symmetric or complex Hermitian positive definite matrix.
PURPOSE ¶
Computes the inverse of a real symmetric or complex Hermitian positive definite matrix of order n. On entry, A contains the Cholesky factor, as returned by posv() or potrf(). On exit it is replaced by the inverse.
ARGUMENTS
A float or complex matrix
OPTIONS
uplo PLower orPUpper
n nonnegative integer. If negative, the default value is used.
ldA positive integer. ldA >= max(1,n). If zero, the default
value is used.
offsetA nonnegative integer;
func PotriFloat ¶
func PotriFloat(A *matrix.FloatMatrix, opts ...linalg.Option) error
func Potrs ¶
Solves a real symmetric or complex Hermitian positive definite set of linear equations, given the Cholesky factorization computed by potrf() or posv().
PURPOSE ¶
Solves
A*X = B
where A is n by n, real symmetric or complex Hermitian and positive definite, and B is n by nrhs. On entry, A contains the Cholesky factor, as returned by Posv() or Potrf(). On exit B is replaced by the solution X.
ARGUMENTS
A float or complex matrix B float or complex matrix. Must have the same type as A.
OPTIONS
uplo PLower or PUpper
n nonnegative integer. If negative, the default value is used.
nrhs nonnegative integer. If negative, the default value is used.
ldA positive integer. ldA >= max(1,n). If zero, the default
value is used.
ldB positive integer. ldB >= max(1,n). If zero, the default
value is used.
offsetA nonnegative integer
offsetB nonnegative integer;
func Syevd ¶
Eigenvalue decomposition of a real symmetric matrix (divide-and-conquer driver).
PURPOSE ¶
Returns eigenvalues/vectors of a real symmetric nxn matrix A. On exit, W contains the eigenvalues in ascending order. If jobz is PJobV, the (normalized) eigenvectors are also computed and returned in A. If jobz is PJobNo, only the eigenvalues are computed, and the content of A is destroyed.
ARGUMENTS
A float matrix
W float matrix of length at least n. On exit, contains
the computed eigenvalues in ascending order.
OPTIONS
jobz PJobNo or PJobV
uplo PLower or PUpper
n integer. If negative, the default value is used.
ldA nonnegative integer. ldA >= max(1,n). If zero, the
default value is used.
offsetA nonnegative integer
offsetB nonnegative integer;
func SyevdFloat ¶
func SyevdFloat(A, W *matrix.FloatMatrix, opts ...linalg.Option) error
func Syevr ¶
func Syevr(A, W, Z matrix.Matrix, abstol float64, vlimit []float64, ilimit []int, opts ...linalg.Option) error
Computes selected eigenvalues and eigenvectors of a real symmetric matrix (RRR driver).
PURPOSE ¶
Computes selected eigenvalues/vectors of a real symmetric n by n matrix A.
If range is PRangeAll, all eigenvalues are computed. If range is PRangeV all eigenvalues in the interval (vlimit[0],vlimit[1]] are computed. If range is PRangeI, all eigenvalues ilimit[0] through ilimit[1] are computed (sorted in ascending order with 1 <= ilimit[0] <= ilimit[1] <= n).
If jobz is PJobNo, only the eigenvalues are returned in W. If jobz is PJobV, the eigenvectors are also returned in Z. On exit, the content of A is destroyed.
Syevr is usually the fastest of the four eigenvalue routines.
ARGUMENTS
A float matrix
W float matrix of length at least n. On exit, contains
the computed eigenvalues in ascending order.
Z float matrix or nil. Only required when jobz = PJobV.
If range is PRangeAll or PRangeV, Z must have at least n columns.
If range is PRangeI, Z must have at least iu-il+1 columns.
On exit the first m columns of Z contain the computed
(normalized) eigenvectors.
abstol double. Absolute error tolerance for eigenvalues.
If nonpositive, the LAPACK default value is used.
vlmit []float or nil. Only required when range is PRangeV.
ilimit []int or nil. Only required when range is PRangeI.
OPTIONS
jobz PJobNo or PJobV
range PRangeAll, PRangeV or PRangeI
uplo PLower or PUpper
n integer. If negative, the default value is used.
ldA nonnegative integer. ldA >= max(1,n).
If zero, the default value is used.
ldZ nonnegative integer. ldZ >= 1 if jobz is 'N' and
ldZ >= max(1,n) if jobz is PJobV. The default value
is 1 if jobz is PJobNo and max(1,Z.Rows) if jobz =PJboV.
If zero, the default value is used.
offsetA nonnegative integer
offsetW nonnegative integer
offsetZ nonnegative integer
m the number of eigenvalues computed
func SyevrFloat ¶
func Syevx ¶
func Syevx(A, W, Z matrix.Matrix, abstol float64, vlimit []float64, ilimit []int, opts ...linalg.Option) error
Computes selected eigenvalues and eigenvectors of a real symmetric matrix (expert driver).
PURPOSE ¶
Computes selected eigenvalues/vectors of a real symmetric n by n matrix A.
If range is OptRangeAll, all eigenvalues are computed. If range is OptRangeValue, all eigenvalues in the interval (vlimit[0],vlimit[1]] are computed. If range is OptRangeInt, all eigenvalues il through iu are computed (sorted in ascending order with 1 <= il <= iu <= n).
If jobz is OptJobNo, only the eigenvalues are returned in W. If jobz is OptJobValue, the eigenvectors are also returned in Z.
On exit, the content of A is destroyed.
ARGUMENTS
A float matrix
W float matrix of length at least n. On exit, contains
the computed eigenvalues in ascending order.
Z float matrix. Only required when jobz is PJobValue. If range
is PRangeAll or PRangeValue, Z must have at least n columns. If
range is PRangeInt, Z must have at least iu-il+1 columns.
On exit the first m columns of Z contain the computed (normalized) eigenvectors.
vlimit []float64 or nul. Only required when range is PRangeValue
ilimit []int or nil. Only required when range is PRangeInt.
abstol double. Absolute error tolerance for eigenvalues.
If nonpositive, the LAPACK default value is used.
OPTIONS
jobz linalg.OptJobNo or linalg.OptJobValue
range linalg.OptRangeAll, linalg.OptRangeValue or linalg.OptRangeInt
uplo linalg.OptLower or linalg.OptUpper
n integer. If negative, the default value is used.
m the number of eigenvalues computed;
ldA nonnegative integer. ldA >= max(1,n). If zero, the
default value is used.
ldZ nonnegative integer. ldZ >= 1 if jobz is PJobNo and
ldZ >= max(1,n) if jobz is PJobValue. The default value
is 1 if jobz is PJobNo and max(1,Z.size[0]) if jobz =PJobValue.
If zero, the default value is used.
offsetA nonnegative integer
offsetW nonnegative integer
offsetZ nonnegative integer
func SyevxFloat ¶
func Sytrf ¶
LDL^T factorization of a real or complex symmetric matrix.
PURPOSE Computes the LDL^T factorization of a real or complex symmetric n by n matrix A. On exit, A and ipiv contain the details of the factorization.
ARGUMENTS
A float or complex matrix ipiv int vector of length at least n
OPTIONS
uplo PLower or PUpper
n nonnegative integer. If negative, the default value is used.
ldA positive integer. ldA >= max(1,n). If zero, the default
value is used.
offsetA nonnegative integer;
func SytrfComplex ¶
func SytrfFloat ¶
func Sytrs ¶
Solves a real or complex symmetric set of linear equations, given the LDL^T factorization computed by sytrf() or sysv().
PURPOSE Solves
A*X = B
where A is real or complex symmetric and n by n, and B is n by nrhs. On entry, A and ipiv contain the factorization of A as returned by Sytrf() or Sysv(). On exit, B is replaced by the solution.
ARGUMENTS
A float or complex matrix B float or complex matrix. Must have the same type as A. ipiv int vector
OPTIONS
uplo PLower or PUpper
n nonnegative integer. If negative, the default value is used.
nrhs nonnegative integer. If negative, the default value is used.
ldA positive integer. ldA >= max(1,n). If zero, the default
value is used.
ldB nonnegative integer. ldB >= max(1,n). If zero, the
default value is used.
offsetA nonnegative integer
offsetB nonnegative integer;
func Trtrs ¶
Solution of a triangular set of equations with multiple righthand sides.
PURPOSE Solves set of equations
A*X = B, if trans is PNoTrans A^T*X = B, if trans is PTrans A^H*X = B, if trans is PConjTrans
B is n by nrhs and A is triangular of order n.
ARGUMENTS
A float or complex matrix B float or complex matrix. Must have the same type as A.
OPTIONS
uplo PLower or PUpper
trans PNoTrans, PTrans, PConjTrans
diag PNonUnit, PUnit
n nonnegative integer. If negative, the default value is used.
nrhs nonnegative integer. If negative, the default value is used.
ldA positive integer. ldA >= max(1,n). If zero, the default
value is used.
ldB positive integer. ldB >= max(1,n). If zero, the default
value is used.
offsetA nonnegative integer
offsetB nonnegative integer;
Types ¶
This section is empty.
Source Files