D (u.1683e5cecf61a6ba6b7b9ee99229ad6f.owl.0.9.0.doc.owl.Owl

include module type of struct include Owl_linalg_d end

Sourcetype elt = float

Sourcetype mat = Owl_dense_matrix_d.mat

Sourcetype complex_mat = Owl_dense_matrix_z.mat

Sourcetype int32_mat = (int32, Bigarray.int32_elt) Owl_dense_matrix_generic.t

include Owl_linalg_intf.Common
  with type elt := elt
   and type mat := mat
   and type complex_mat := complex_mat
   and type int32_mat := int32_mat

include Owl_base_linalg_intf.Common
  with type elt := elt
  with type mat := mat
  with type complex_mat := complex_mat
  with type int32_mat := int32_mat

Basic functions

Sourceval inv : mat -> mat

Sourceval det : mat -> elt

Sourceval logdet : mat -> elt

Sourceval is_triu : mat -> bool

Sourceval is_tril : mat -> bool

Sourceval is_symmetric : mat -> bool

Sourceval is_diag : mat -> bool

Factorisation

Sourceval svd : ?thin:bool -> mat -> mat * mat * mat

Sourceval chol : ?upper:bool -> mat -> mat

Sourceval qr : ?thin:bool -> ?pivot:bool -> mat -> mat * mat * int32_mat

Sourceval lq : ?thin:bool -> mat -> mat * mat

Linear system of equations

Sourceval linsolve : ?trans:bool -> ?typ:[ `n | `u | `l ] -> mat -> mat -> mat

Sourceval sylvester : mat -> mat -> mat -> mat

Sourceval lyapunov : mat -> mat -> mat

Source

val discrete_lyapunov : 
  ?solver:[ `default | `direct | `bilinear ] ->
  mat ->
  mat ->
  mat

Basic functions

Sourceval pinv : ?tol:float -> mat -> mat

Sourceval rank : ?tol:float -> mat -> int

Sourceval norm : ?p:float -> mat -> float

Sourceval vecnorm : ?p:float -> mat -> float

Sourceval cond : ?p:float -> mat -> float

Sourceval rcond : mat -> float

Sourceval is_posdef : mat -> bool

Factorisation

Sourceval lu : mat -> mat * mat * int32_mat

Sourceval svdvals : mat -> mat

Sourceval gsvd : mat -> mat -> mat * mat * mat * mat * mat * mat

Sourceval gsvdvals : mat -> mat -> mat

Sourceval schur : mat -> mat * mat * complex_mat

Sourceval schur_tz : mat -> mat * mat

Sourceval ordschur : select:int32_mat -> mat -> mat -> mat * mat * complex_mat

Sourceval qz : mat -> mat -> mat * mat * mat * mat * complex_mat

Source

val ordqz : 
  select:int32_mat ->
  mat ->
  mat ->
  mat ->
  mat ->
  mat * mat * mat * mat * complex_mat

Sourceval qzvals : mat -> mat -> complex_mat

Sourceval hess : mat -> mat * mat

Eigenvalues & eigenvectors

Sourceval eig : ?permute:bool -> ?scale:bool -> mat -> complex_mat * complex_mat

Sourceval eigvals : ?permute:bool -> ?scale:bool -> mat -> complex_mat

Linear system of equations

Sourceval null : mat -> mat

Sourceval triangular_solve : upper:bool -> ?trans:bool -> mat -> mat -> mat

Sourceval linreg : mat -> mat -> elt * elt

Low-level factorisation functions

Sourceval lufact : mat -> mat * int32_mat

Sourceval qrfact : ?pivot:bool -> mat -> mat * mat * int32_mat

Source

val bkfact : 
  ?upper:bool ->
  ?symmetric:bool ->
  ?rook:bool ->
  mat ->
  mat * int32_mat

Matrix functions

Sourceval mpow : mat -> float -> mat

Sourceval expm : mat -> mat

Sourceval sinm : mat -> mat

Sourceval cosm : mat -> mat

Sourceval tanm : mat -> mat

Sourceval sincosm : mat -> mat * mat

Sourceval sinhm : mat -> mat

Sourceval coshm : mat -> mat

Sourceval tanhm : mat -> mat

Sourceval sinhcoshm : mat -> mat * mat

Helper functions

Sourceval select_ev : [ `LHP | `RHP | `UDI | `UDO ] -> mat -> int32_mat

Sourceval peakflops : ?n:int -> unit -> float

include Owl_linalg_intf.Real with type mat := mat and type elt := elt

include Owl_base_linalg_intf.Real with type mat := mat with type elt := elt

Sourceval care : ?diag_r:bool -> mat -> mat -> mat -> mat -> mat

Sourceval dare : mat -> mat -> mat -> mat -> mat