Module Owl_lapacke

Type definition
type ('a, 'b) t = ('a'b, Stdlib.Bigarray.c_layout) Stdlib.Bigarray.Genarray.t

Default data type

type lapacke_layout =
| RowMajor
| ColMajor

Layout type.

type lapacke_transpose =
| NoTrans
| Trans
| ConjTrans

Transpose type.

type lapacke_uplo =
| Upper
| Lower

Upper or lower trangular.

type lapacke_diag =
| NonUnit
| Unit

Diangonal type.

type lapacke_side =
| Left
| Right

Side type.

Basic functions
val gbtrs : trans:lapacke_transpose -> kl:int -> ku:int -> n:int -> ab:('a'b) t -> ipiv:(int32, Stdlib.Bigarray.int32_elt) t -> b:('a'b) t -> unit

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gebal : ?⁠job:char -> a:('a'b) t -> int * int * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gebak : job:char -> side:char -> ilo:int -> ihi:int -> scale:float Ctypes.ptr -> v:('a'b) t -> unit

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gebrd : a:('a'b) t -> ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gelqf : a:('a'b) t -> ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val geqlf : a:('a'b) t -> ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val geqrf : a:('a'b) t -> ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gerqf : a:('a'b) t -> ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val geqp3 : ?⁠jpvt:(int32, Stdlib.Bigarray.int32_elt) t -> a:('a'b) t -> ('a'b) t * ('a'b) t * (int32, Stdlib.Bigarray.int32_elt) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val geqrt : nb:int -> a:('a'b) t -> ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val geqrt3 : a:('a'b) t -> ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val getrf : a:('a'b) t -> ('a'b) t * (int32, Stdlib.Bigarray.int32_elt) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val tzrzf : a:('a'b) t -> ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val ormrz : side:char -> trans:char -> a:(float, 'a) t -> tau:(float, 'a) t -> c:(float, 'a) t -> (float, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gels : trans:char -> a:('a'b) t -> b:('a'b) t -> ('a'b) t * ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gesv : a:('a'b) t -> b:('a'b) t -> ('a'b) t * ('a'b) t * (int32, Stdlib.Bigarray.int32_elt) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val getrs : trans:char -> a:('a'b) t -> ipiv:(int32, Stdlib.Bigarray.int32_elt) t -> b:('a'b) t -> ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val getri : a:('a'b) t -> ipiv:(int32, Stdlib.Bigarray.int32_elt) t -> ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gesvx : fact:char -> trans:char -> a:('a'b) t -> af:('a'b) t -> ipiv:(int32, Stdlib.Bigarray.int32_elt) t -> equed:char -> r:('a'b) t -> c:('a'b) t -> b:('a'b) t -> ('a'b) t * char * ('a'b) t * ('a'b) t * ('a'b) t * 'a * ('a'b) t * ('a'b) t * 'a

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gelsd : a:('a'b) t -> b:('a'b) t -> rcond:float -> ('a'b) t * int

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gelsy : a:('a'b) t -> b:('a'b) t -> rcond:float -> ('a'b) t * int

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gglse : a:('a'b) t -> b:('a'b) t -> c:('a'b) t -> d:('a'b) t -> ('a'b) t * 'a

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val geev : jobvl:char -> jobvr:char -> a:('a'b) t -> ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gesdd : ?⁠jobz:char -> a:('a'b) t -> ('a'b) t * ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gesvd : ?⁠jobu:char -> ?⁠jobvt:char -> a:('a'b) t -> ('a'b) t * ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val ggsvd3 : ?⁠jobu:char -> ?⁠jobv:char -> ?⁠jobq:char -> a:('a'b) t -> b:('a'b) t -> ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t * int * int * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val geevx : balanc:char -> jobvl:char -> jobvr:char -> sense:char -> a:('a'b) t -> ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t * int * int * ('a'b) t * float * ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val ggev : jobvl:char -> jobvr:char -> a:('a'b) t -> b:('a'b) t -> ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gtsv : dl:('a'b) t -> d:('a'b) t -> du:('a'b) t -> b:('a'b) t -> ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gttrf : dl:('a'b) t -> d:('a'b) t -> du:('a'b) t -> ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t * (int32, Stdlib.Bigarray.int32_elt) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gttrs : trans:char -> dl:('a'b) t -> d:('a'b) t -> du:('a'b) t -> du2:('a'b) t -> ipiv:(int32, Stdlib.Bigarray.int32_elt) t -> b:('a'b) t -> ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val orglq : ?⁠k:int -> a:(float, 'a) t -> tau:(float, 'a) t -> (float, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val unglq : ?⁠k:int -> a:(Stdlib.Complex.t, 'a) t -> tau:(Stdlib.Complex.t, 'a) t -> (Stdlib.Complex.t, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val orgqr : ?⁠k:int -> a:(float, 'a) t -> tau:(float, 'a) t -> (float, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val ungqr : ?⁠k:int -> a:(Stdlib.Complex.t, 'a) t -> tau:(Stdlib.Complex.t, 'a) t -> (Stdlib.Complex.t, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val orgql : ?⁠k:int -> a:(float, 'a) t -> tau:(float, 'a) t -> (float, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val orgrq : ?⁠k:int -> a:(float, 'a) t -> tau:(float, 'a) t -> (float, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val ormlq : side:char -> trans:char -> a:(float, 'a) t -> tau:(float, 'a) t -> c:(float, 'a) t -> (float, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val ormqr : side:char -> trans:char -> a:(float, 'a) t -> tau:(float, 'a) t -> c:(float, 'a) t -> (float, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val ormql : side:char -> trans:char -> a:(float, 'a) t -> tau:(float, 'a) t -> c:(float, 'a) t -> (float, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val ormrq : side:char -> trans:char -> a:(float, 'a) t -> tau:(float, 'a) t -> c:(float, 'a) t -> (float, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gemqrt : side:char -> trans:char -> v:('a'b) t -> t:('a'b) t -> c:('a'b) t -> ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val posv : uplo:char -> a:('a'b) t -> b:('a'b) t -> ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val potrf : uplo:char -> a:('a'b) t -> ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val potri : uplo:char -> a:('a'b) t -> ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val potrs : uplo:char -> a:('a'b) t -> b:('a'b) t -> ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val pstrf : uplo:char -> a:('a'b) t -> tol:'a -> ('a'b) t * (int32, Stdlib.Bigarray.int32_elt) t * int * int

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val ptsv : d:('a'b) t -> e:('a'b) t -> b:('a'b) t -> ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val pttrf : d:('a'b) t -> e:('a'b) t -> ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val pttrs : ?⁠uplo:char -> d:('a'b) t -> e:('a'b) t -> b:('a'b) t -> ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val trtri : uplo:char -> diag:char -> a:('a'b) t -> ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val trtrs : uplo:char -> trans:char -> diag:char -> a:('a'b) t -> b:('a'b) t -> ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val trcon : norm:char -> uplo:char -> diag:char -> a:('a'b) t -> float

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val trevc : side:char -> howmny:char -> select:(int32, Stdlib.Bigarray.int32_elt) t -> t:('a'b) t -> (int32, Stdlib.Bigarray.int32_elt) t * ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val trrfs : uplo:char -> trans:char -> diag:char -> a:('a'b) t -> b:('a'b) t -> x:('a'b) t -> ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val stev : jobz:char -> d:(float, 'a) t -> e:(float, 'a) t -> (float, 'a) t * (float, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val stebz : range:char -> order:char -> vl:float -> vu:float -> il:int -> iu:int -> abstol:float -> d:(float, 'a) t -> e:(float, 'a) t -> (float, 'a) t * (int32, Stdlib.Bigarray.int32_elt) t * (int32, Stdlib.Bigarray.int32_elt) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val stegr : kind:('a'b) Stdlib.Bigarray.kind -> jobz:char -> range:char -> d:(float, 'b) t -> e:(float, 'b) t -> vl:float -> vu:float -> il:int -> iu:int -> ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val stein : kind:('a'b) Stdlib.Bigarray.kind -> d:(float, 'b) t -> e:(float, 'b) t -> w:(float, 'b) t -> iblock:(int32, Stdlib.Bigarray.int32_elt) t -> isplit:(int32, Stdlib.Bigarray.int32_elt) t -> ('a'b) t * (int32, Stdlib.Bigarray.int32_elt) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val syconv : uplo:char -> way:char -> a:('a'b) t -> ipiv:(int32, Stdlib.Bigarray.int32_elt) t -> ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val sysv : uplo:char -> a:('a'b) t -> b:('a'b) t -> ('a'b) t * ('a'b) t * (int32, Stdlib.Bigarray.int32_elt) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val sytrf : uplo:char -> a:('a'b) t -> ('a'b) t * (int32, Stdlib.Bigarray.int32_elt) t * int

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val sytrf_rook : uplo:char -> a:('a'b) t -> ('a'b) t * (int32, Stdlib.Bigarray.int32_elt) t * int

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val sytri : uplo:char -> a:('a'b) t -> ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val sytrs : uplo:char -> a:('a'b) t -> ipiv:(int32, Stdlib.Bigarray.int32_elt) t -> b:('a'b) t -> ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val hesv : uplo:char -> a:(Stdlib.Complex.t, 'a) t -> b:(Stdlib.Complex.t, 'a) t -> (Stdlib.Complex.t, 'a) t * (Stdlib.Complex.t, 'a) t * (int32, Stdlib.Bigarray.int32_elt) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val hetrf : uplo:char -> a:('a'b) t -> ('a'b) t * (int32, Stdlib.Bigarray.int32_elt) t * int

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val hetrf_rook : uplo:char -> a:('a'b) t -> ('a'b) t * (int32, Stdlib.Bigarray.int32_elt) t * int

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val hetri : uplo:char -> a:(Stdlib.Complex.t, 'a) t -> ipiv:(int32, Stdlib.Bigarray.int32_elt) t -> (Stdlib.Complex.t, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val hetrs : uplo:char -> a:(Stdlib.Complex.t, 'a) t -> ipiv:(int32, Stdlib.Bigarray.int32_elt) t -> b:(Stdlib.Complex.t, 'a) t -> (Stdlib.Complex.t, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val syev : jobz:char -> uplo:char -> a:(float, 'a) t -> (float, 'a) t * (float, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val syevr : jobz:char -> range:char -> uplo:char -> a:(float, 'a) t -> vl:float -> vu:float -> il:int -> iu:int -> abstol:float -> (float, 'a) t * (float, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val sygvd : ityp:int -> jobz:char -> uplo:char -> a:(float, 'a) t -> b:(float, 'a) t -> (float, 'a) t * (float, 'a) t * (float, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val bdsqr : uplo:char -> d:(float, 'b) t -> e:(float, 'b) t -> vt:('a'b) t -> u:('a'b) t -> c:('a'b) t -> (float, 'b) t * ('a'b) t * ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val bdsdc : uplo:char -> compq:char -> d:(float, 'a) t -> e:(float, 'a) t -> (float, 'a) t * (float, 'a) t * (float, 'a) t * (float, 'a) t * (float, 'a) t * (int32, Stdlib.Bigarray.int32_elt) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gecon : norm:char -> a:('a'b) t -> anorm:float -> float

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gehrd : ilo:int -> ihi:int -> a:('a'b) t -> ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val orghr : ilo:int -> ihi:int -> a:(float, 'a) t -> tau:(float, 'a) t -> (float, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val unghr : ilo:int -> ihi:int -> a:(Stdlib.Complex.t, 'a) t -> tau:(Stdlib.Complex.t, 'a) t -> (Stdlib.Complex.t, 'a) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gees : jobvs:char -> a:('a'b) t -> ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val gges : jobvsl:char -> jobvsr:char -> a:('a'b) t -> b:('a'b) t -> ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val trexc : compq:char -> t:('a'b) t -> q:('a'b) t -> ifst:int -> ilst:int -> ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val trsen : job:char -> compq:char -> select:(int32, Stdlib.Bigarray.int32_elt) t -> t:('a'b) t -> q:('a'b) t -> ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val tgsen : select:(int32, Stdlib.Bigarray.int32_elt) t -> a:('a'b) t -> b:('a'b) t -> q:('a'b) t -> z:('a'b) t -> ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t * ('a'b) t

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_

val trsyl : trana:char -> tranb:char -> isgn:int -> a:('a'b) t -> b:('a'b) t -> c:('a'b) t -> ('a'b) t * float

Refer to `Intel MKL C Reference <https://software.intel.com/en-us/mkl-developer-reference-c-lapack-routines>`_