JuliaComplexF32MatrixΒΆ
jarray32.spad line 648 [edit on github]
This domain provides a fast JuliaComplexF32
matrix type with no bound checking on elt's
. Minimum index is 1.
- #: % -> NonNegativeInteger
from Aggregate
- *: (%, %) -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- *: (%, JuliaComplexF32) -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- *: (%, JuliaComplexF32Vector) -> JuliaComplexF32Vector
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- *: (Integer, %) -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- *: (JuliaComplexF32, %) -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- *: (JuliaComplexF32Vector, %) -> JuliaComplexF32Vector
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- +: (%, %) -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- -: % -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- -: (%, %) -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- /: (%, JuliaComplexF32) -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- ^: (%, Integer) -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- ^: (%, NonNegativeInteger) -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- adjoint!: (%, %) -> %
adjoint!(a, m)
stores in a the adjoint ofm
i.e. the conjugate transposition ofm
.
- adjoint: % -> %
adjoint(m)
returns the adjoint ofm
i.e. the conjugate transposition ofm
.
- antisymmetric?: % -> Boolean
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- any?: (JuliaComplexF32 -> Boolean, %) -> Boolean
- array2: List List JuliaComplexF32 -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- blockConcat: List List % -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- blockSplit: (%, List NonNegativeInteger, List NonNegativeInteger) -> List List %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- blockSplit: (%, PositiveInteger, PositiveInteger) -> List List %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- coerce: % -> OutputForm
from CoercibleTo OutputForm
- coerce: JuliaComplexF32Vector -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- coerce: JuliaFloat32Matrix -> %
coerce(m)
coercesm
to a a Julia Complex Float 32 matrix.
- colSlice: % -> Segment Integer
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- column: (%, Integer) -> JuliaComplexF32Vector
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- columnSpace: % -> List JuliaComplexF32Vector
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- convert: % -> String
from ConvertibleTo String
- copy!: (%, %) -> %
copy!(b,a)
copies efficiently a tob
. No check are done on arrays dimensions.
- count: (JuliaComplexF32 -> Boolean, %) -> NonNegativeInteger
- count: (JuliaComplexF32, %) -> NonNegativeInteger
- determinant: % -> JuliaComplexF32
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- diagonal?: % -> Boolean
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- diagonalMatrix: JuliaComplexF32Vector -> %
diagonalMatrix(v)
returns a diagonal matrix with elements ofv
.- diagonalMatrix: List % -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- diagonalMatrix: List JuliaComplexF32 -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- elt: (%, Integer, Integer) -> JuliaComplexF32
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- elt: (%, Integer, Integer, JuliaComplexF32) -> JuliaComplexF32
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- elt: (%, Integer, List Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- elt: (%, Integer, List Segment Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- elt: (%, List Integer, Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- elt: (%, List Integer, List Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- elt: (%, List Integer, Segment Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- elt: (%, List Segment Integer, Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- elt: (%, List Segment Integer, List Segment Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- elt: (%, List Segment Integer, Segment Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- elt: (%, Segment Integer, List Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- elt: (%, Segment Integer, List Segment Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- elt: (%, Segment Integer, Segment Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- eval: (%, Equation JuliaComplexF32) -> % if JuliaComplexF32 has Evalable JuliaComplexF32
from Evalable JuliaComplexF32
- eval: (%, JuliaComplexF32, JuliaComplexF32) -> % if JuliaComplexF32 has Evalable JuliaComplexF32
- eval: (%, List Equation JuliaComplexF32) -> % if JuliaComplexF32 has Evalable JuliaComplexF32
from Evalable JuliaComplexF32
- eval: (%, List JuliaComplexF32, List JuliaComplexF32) -> % if JuliaComplexF32 has Evalable JuliaComplexF32
- every?: (JuliaComplexF32 -> Boolean, %) -> Boolean
- exquo: (%, JuliaComplexF32) -> Union(%, failed)
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- fill!: (%, JuliaComplexF32) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- hash: % -> SingleInteger if JuliaComplexF32 has Hashable
from Hashable
- hashUpdate!: (HashState, %) -> HashState if JuliaComplexF32 has Hashable
from Hashable
- hermitian?: % -> Boolean
hermitian?(m)
tests hermiticity ofm
.
- hermitianPart!: % -> %
hermitianPart!(m)
overwitesm
with the symmetric part ofm
(m
+m'
)/2
to save memory space and returnsm
.
- hermitianPart: % -> %
hermitianPart(m)
returns the symmetric part ofm
(m
+m'
)/2
.
- horizConcat: (%, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- horizConcat: List % -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- horizSplit: (%, List NonNegativeInteger) -> List %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- horizSplit: (%, PositiveInteger) -> List %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- imag: % -> JuliaFloat32Matrix
imag(m)
returns aJuliaFloat32
matrix with the imaginary part of them
elements.
- inverse: % -> Union(%, failed)
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- jlApply: (String, %) -> JuliaFloat32
jlApply(func, x)
applyfunc
to argumentx
.
- jlApply: (String, %, JuliaFloat32) -> JuliaFloat32
jlApply(func, x, val)
applyfunc
to argumentsx
and val.
- jlApprox?: (%, %) -> Boolean
jlApprox?(x,y)
computes inexact equality comparison with default parameters. Two numbers compare equal if their relative distance or their absolute distance is within tolerance bounds. Applied component-wise.
- jlDisplay: % -> Void
jlDisplay(m)
pretty printsm
(Γ
la Julia).
- jlVector: % -> JuliaComplexF32Vector
jlVector(m)
returns reference to the internal vector representation.
- juliaCMPrint: Boolean -> Boolean
juliaMPrint(
b
) defines whether or not FriCAS uses the printing version of Julia for matrices instead of its OutputForm version. Returns previous value. By default it is the Julia version.
- kronecker_prod1: (%, Integer, List List NonNegativeInteger, List %, NonNegativeInteger, NonNegativeInteger, Union(JuliaComplexF32, one)) -> Void
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- kroneckerProduct: (%, %) -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- kroneckerProduct: List % -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- kroneckerSum: (%, %) -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- kroneckerSum: List % -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- latex: % -> String
from SetCategory
- less?: (%, NonNegativeInteger) -> Boolean
from Aggregate
- listOfLists: % -> List List JuliaComplexF32
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- map!: (JuliaComplexF32 -> JuliaComplexF32, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- map: ((JuliaComplexF32, JuliaComplexF32) -> JuliaComplexF32, %, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- map: ((JuliaComplexF32, JuliaComplexF32) -> JuliaComplexF32, %, %, JuliaComplexF32) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- map: (JuliaComplexF32 -> JuliaComplexF32, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- matrix: (NonNegativeInteger, NonNegativeInteger, (Integer, Integer) -> JuliaComplexF32) -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- matrix: List List JuliaComplexF32 -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- max: % -> JuliaComplexF32 if JuliaComplexF32 has OrderedSet
- max: ((JuliaComplexF32, JuliaComplexF32) -> Boolean, %) -> JuliaComplexF32
- maxColIndex: % -> Integer
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- maxRowIndex: % -> Integer
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- member?: (JuliaComplexF32, %) -> Boolean
- min: % -> JuliaComplexF32 if JuliaComplexF32 has OrderedSet
- minColIndex: % -> Integer
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- minordet: % -> JuliaComplexF32
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- minRowIndex: % -> Integer
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- more?: (%, NonNegativeInteger) -> Boolean
from Aggregate
- ncols: % -> NonNegativeInteger
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- new: (NonNegativeInteger, NonNegativeInteger, JuliaComplexF32) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- nrand: (NonNegativeInteger, NonNegativeInteger) -> %
nrand(m,n)
returns a normally distributed Julia matrix of size (m
,n
). See Julia documentation (randn) for this complex version used here.
- nrows: % -> NonNegativeInteger
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- nullity: % -> NonNegativeInteger
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- nullSpace: % -> List JuliaComplexF32Vector
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- parts: % -> List JuliaComplexF32
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- Pfaffian: % -> JuliaComplexF32
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- positiveDefinite?: % -> Boolean
positiveDefinite?(m)
tests wether or notm
is Hermitian positive definite using a Cholesky factorisation.
- positivePower: (%, Integer) -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- qelt: (%, Integer, Integer) -> JuliaComplexF32
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- qnew: (NonNegativeInteger, NonNegativeInteger) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- qsetelt!: (%, Integer, Integer, JuliaComplexF32) -> JuliaComplexF32
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- rank: % -> NonNegativeInteger
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- real: % -> JuliaFloat32Matrix
real(m)
returns aJuliaFloat32
matrix with the real part of them
elements.
- row: (%, Integer) -> JuliaComplexF32Vector
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- rowEchelon: % -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- rowSlice: % -> Segment Integer
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- scalarMatrix: (NonNegativeInteger, JuliaComplexF32) -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- setColumn!: (%, Integer, JuliaComplexF32Vector) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- setelt!: (%, Integer, Integer, JuliaComplexF32) -> JuliaComplexF32
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- setelt!: (%, Integer, List Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- setelt!: (%, Integer, List Segment Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- setelt!: (%, List Integer, Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- setelt!: (%, List Integer, List Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- setelt!: (%, List Integer, Segment Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- setelt!: (%, List Segment Integer, Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- setelt!: (%, List Segment Integer, List Segment Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- setelt!: (%, List Segment Integer, Segment Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- setelt!: (%, Segment Integer, List Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- setelt!: (%, Segment Integer, List Segment Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- setelt!: (%, Segment Integer, Segment Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- setRow!: (%, Integer, JuliaComplexF32Vector) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- setsubMatrix!: (%, Integer, Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- size?: (%, NonNegativeInteger) -> Boolean
from Aggregate
- smaller?: (%, %) -> Boolean
from Comparable
- square?: % -> Boolean
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- squareTop: % -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- subMatrix: (%, Integer, Integer, Integer, Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- swapColumns!: (%, Integer, Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- swapRows!: (%, Integer, Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- symmetric?: % -> Boolean
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- transpose!: (%, %) -> %
transpose!(b, a)
stores transposed a inb
.
- transpose: % -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- transpose: JuliaComplexF32Vector -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- urand01: (NonNegativeInteger, NonNegativeInteger) -> %
urand01(m,n)
returns a uniformly (0$NNI..1) distributed Julia matrix of size (m
,n
).
- vertConcat: (%, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- vertConcat: List % -> %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- vertSplit: (%, List NonNegativeInteger) -> List %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- vertSplit: (%, PositiveInteger) -> List %
from TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- zero?: % -> Boolean
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
- zero: (NonNegativeInteger, NonNegativeInteger) -> %
from MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
Evalable JuliaComplexF32 if JuliaComplexF32 has Evalable JuliaComplexF32
Hashable if JuliaComplexF32 has Hashable
HomogeneousAggregate JuliaComplexF32
InnerEvalable(JuliaComplexF32, JuliaComplexF32) if JuliaComplexF32 has Evalable JuliaComplexF32
JuliaMatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
MatrixCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)
TwoDimensionalArrayCategory(JuliaComplexF32, JuliaComplexF32Vector, JuliaComplexF32Vector)