Owl_base_linalg_generic (u.c3f903ae80a02f2f55e8443880a695ab.owl-base.0.9.0.doc.owl-base.Owl_base_linalg

Types and constants

Sourcetype ('a, 'b) t = ('a, 'b) Owl_base_dense_ndarray_generic.t

Basic functions

Sourceval inv : ('a, 'b) t -> ('a, 'b) t

``inv x`` calculates the inverse of an invertible square matrix ``x`` such that ``x *@ x = I`` wherein ``I`` is an identity matrix. (If ``x`` is singular, ``inv`` will return a useless result.)

Sourceval det : ('a, 'b) t -> 'a

``det x`` computes the determinant of a square matrix ``x``.

Sourceval logdet : ('a, 'b) t -> 'a

Refer to :doc:`owl_dense_matrix_generic`

Check matrix types

Sourceval is_tril : ('a, 'b) t -> bool

``is_tril x`` returns ``true`` if ``x`` is lower triangular otherwise ``false``.

Sourceval is_triu : ('a, 'b) t -> bool

``is_triu x`` returns ``true`` if ``x`` is upper triangular otherwise ``false``.

Sourceval is_diag : ('a, 'b) t -> bool

``is_diag x`` returns ``true`` if ``x`` is diagonal otherwise ``false``.

Sourceval is_symmetric : ('a, 'b) t -> bool

``is_symmetric x`` returns ``true`` if ``x`` is symmetric otherwise ``false``.

Sourceval is_hermitian : (Complex.t, 'b) t -> bool

``is_hermitian x`` returns ``true`` if ``x`` is hermitian otherwise ``false``.

Factorisation

Sourceval lu : ('a, 'b) t -> ('a, 'b) t * ('a, 'b) t * int array

``lu x -> (l, u, ipiv)`` calculates LU decomposition of ``x``. The pivoting is used by default.

Source

val qr : 
  ?thin:bool ->
  ?pivot:bool ->
  ('a, 'b) t ->
  ('a, 'b) t * ('a, 'b) t * (int32, Bigarray.int32_elt) t

Refer to :doc:`owl_dense_matrix_generic`

Sourceval lq : ?thin:bool -> ('a, 'b) t -> ('a, 'b) t * ('a, 'b) t

Refer to :doc:`owl_dense_matrix_generic`

Sourceval svd : ?thin:bool -> ('a, 'b) t -> ('a, 'b) t * ('a, 'b) t * ('a, 'b) t

Refer to :doc:`owl_dense_matrix_generic`

Sourceval chol : ?upper:bool -> ('a, 'b) t -> ('a, 'b) t

Refer to :doc:`owl_dense_matrix_generic`

Linear system of equations

Source

val linsolve : 
  ?trans:bool ->
  ?typ:[ `n | `u | `l ] ->
  ('a, 'b) t ->
  ('a, 'b) t ->
  ('a, 'b) t

Refer to :doc:`owl_dense_matrix_generic`

Sourceval sylvester : ('a, 'b) t -> ('a, 'b) t -> ('a, 'b) t -> ('a, 'b) t

Refer to :doc:`owl_dense_matrix_generic`

Sourceval lyapunov : ('a, 'b) t -> ('a, 'b) t -> ('a, 'b) t

Refer to :doc:`owl_dense_matrix_generic`

Source

val discrete_lyapunov : 
  ?solver:[ `default | `bilinear | `direct ] ->
  ('a, 'b) t ->
  ('a, 'b) t ->
  ('a, 'b) t

Refer to :doc:`owl_dense_matrix_generic`

Source

val care : 
  ?diag_r:bool ->
  (float, 'b) t ->
  (float, 'b) t ->
  (float, 'b) t ->
  (float, 'b) t ->
  (float, 'b) t

Refer to :doc:`owl_dense_matrix_generic`

Non-standard functions

Sourceval linsolve_lu : ('a, 'b) t -> ('a, 'b) t -> ('a, 'b) t

Source

val linsolve_gauss : 
  (float, 'a) t ->
  (float, 'b) t ->
  (float, 'a) t * (float, 'b) t

Source

val tridiag_solve_vec : 
  float array ->
  float array ->
  float array ->
  float array ->
  float array