JuliaComplexF64MatrixΒΆ
jarray64.spad line 717 [edit on github]
This domain provides a fast JuliaComplexF64
matrix type with no bound checking on elt's
. Minimum index is 1.
- #: % -> NonNegativeInteger
from Aggregate
- *: (%, %) -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- *: (%, JuliaComplexF64) -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- *: (%, JuliaComplexF64Vector) -> JuliaComplexF64Vector
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- *: (Integer, %) -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- *: (JuliaComplexF64, %) -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- *: (JuliaComplexF64Vector, %) -> JuliaComplexF64Vector
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- +: (%, %) -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- -: % -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- -: (%, %) -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- /: (%, JuliaComplexF64) -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- ^: (%, Integer) -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- ^: (%, NonNegativeInteger) -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- 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(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- any?: (JuliaComplexF64 -> Boolean, %) -> Boolean
- array2: List List JuliaComplexF64 -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- blockConcat: List List % -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- blockSplit: (%, List NonNegativeInteger, List NonNegativeInteger) -> List List %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- blockSplit: (%, PositiveInteger, PositiveInteger) -> List List %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- coerce: % -> OutputForm
from CoercibleTo OutputForm
- coerce: JuliaComplexF64Vector -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- coerce: JuliaFloat64Matrix -> %
coerce(m)
coercesm
to a a Julia Complex Float 64 matrix.
- colSlice: % -> Segment Integer
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- column: (%, Integer) -> JuliaComplexF64Vector
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- columnSpace: % -> List JuliaComplexF64Vector
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- convert: % -> String
from ConvertibleTo String
- copy!: (%, %) -> %
copy!(b,a)
copies efficiently a tob
. No check are done on arrays dimensions.
- count: (JuliaComplexF64 -> Boolean, %) -> NonNegativeInteger
- count: (JuliaComplexF64, %) -> NonNegativeInteger
- determinant: % -> JuliaComplexF64
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- diagonal?: % -> Boolean
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- diagonalMatrix: JuliaComplexF64Vector -> %
diagonalMatrix(v)
returns a diagonal matrix with elements ofv
.- diagonalMatrix: List % -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- diagonalMatrix: List JuliaComplexF64 -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- elt: (%, Integer, Integer) -> JuliaComplexF64
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- elt: (%, Integer, Integer, JuliaComplexF64) -> JuliaComplexF64
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- elt: (%, Integer, List Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- elt: (%, Integer, List Segment Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- elt: (%, List Integer, Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- elt: (%, List Integer, List Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- elt: (%, List Integer, Segment Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- elt: (%, List Segment Integer, Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- elt: (%, List Segment Integer, List Segment Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- elt: (%, List Segment Integer, Segment Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- elt: (%, Segment Integer, List Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- elt: (%, Segment Integer, List Segment Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- elt: (%, Segment Integer, Segment Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- eval: (%, Equation JuliaComplexF64) -> % if JuliaComplexF64 has Evalable JuliaComplexF64
from Evalable JuliaComplexF64
- eval: (%, JuliaComplexF64, JuliaComplexF64) -> % if JuliaComplexF64 has Evalable JuliaComplexF64
- eval: (%, List Equation JuliaComplexF64) -> % if JuliaComplexF64 has Evalable JuliaComplexF64
from Evalable JuliaComplexF64
- eval: (%, List JuliaComplexF64, List JuliaComplexF64) -> % if JuliaComplexF64 has Evalable JuliaComplexF64
- every?: (JuliaComplexF64 -> Boolean, %) -> Boolean
- exquo: (%, JuliaComplexF64) -> Union(%, failed)
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- fill!: (%, JuliaComplexF64) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- hash: % -> SingleInteger if JuliaComplexF64 has Hashable
from Hashable
- hashUpdate!: (HashState, %) -> HashState if JuliaComplexF64 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(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- horizConcat: List % -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- horizSplit: (%, List NonNegativeInteger) -> List %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- horizSplit: (%, PositiveInteger) -> List %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- imag: % -> JuliaFloat64Matrix
imag(m)
returns aJuliaFloat64
matrix with the imaginary part of them
elements.
- inverse: % -> Union(%, failed)
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- jlApply: (String, %) -> JuliaFloat64
jlApply(func, x)
applyfunc
to argumentx
.
- jlApply: (String, %, JuliaFloat64) -> JuliaFloat64
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: % -> JuliaComplexF64Vector
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(JuliaComplexF64, one)) -> Void
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- kroneckerProduct: (%, %) -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- kroneckerProduct: List % -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- kroneckerSum: (%, %) -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- kroneckerSum: List % -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- latex: % -> String
from SetCategory
- less?: (%, NonNegativeInteger) -> Boolean
from Aggregate
- listOfLists: % -> List List JuliaComplexF64
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- map!: (JuliaComplexF64 -> JuliaComplexF64, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- map: ((JuliaComplexF64, JuliaComplexF64) -> JuliaComplexF64, %, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- map: ((JuliaComplexF64, JuliaComplexF64) -> JuliaComplexF64, %, %, JuliaComplexF64) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- map: (JuliaComplexF64 -> JuliaComplexF64, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- matrix: (NonNegativeInteger, NonNegativeInteger, (Integer, Integer) -> JuliaComplexF64) -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- matrix: List List JuliaComplexF64 -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- max: % -> JuliaComplexF64 if JuliaComplexF64 has OrderedSet
- max: ((JuliaComplexF64, JuliaComplexF64) -> Boolean, %) -> JuliaComplexF64
- maxColIndex: % -> Integer
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- maxRowIndex: % -> Integer
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- member?: (JuliaComplexF64, %) -> Boolean
- min: % -> JuliaComplexF64 if JuliaComplexF64 has OrderedSet
- minColIndex: % -> Integer
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- minordet: % -> JuliaComplexF64
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- minRowIndex: % -> Integer
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- more?: (%, NonNegativeInteger) -> Boolean
from Aggregate
- ncols: % -> NonNegativeInteger
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- new: (NonNegativeInteger, NonNegativeInteger, JuliaComplexF64) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- 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(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- nullity: % -> NonNegativeInteger
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- nullSpace: % -> List JuliaComplexF64Vector
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- parts: % -> List JuliaComplexF64
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- Pfaffian: % -> JuliaComplexF64
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- positiveDefinite?: % -> Boolean
positiveDefinite?(m)
tests wether or notm
is Hermitian positive definite using a Cholesky factorisation.
- positivePower: (%, Integer) -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- qelt: (%, Integer, Integer) -> JuliaComplexF64
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- qnew: (NonNegativeInteger, NonNegativeInteger) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- qsetelt!: (%, Integer, Integer, JuliaComplexF64) -> JuliaComplexF64
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- rank: % -> NonNegativeInteger
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- real: % -> JuliaFloat64Matrix
real(m)
returns aJuliaFloat64
matrix with the real part of them
elements.
- row: (%, Integer) -> JuliaComplexF64Vector
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- rowEchelon: % -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- rowSlice: % -> Segment Integer
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- scalarMatrix: (NonNegativeInteger, JuliaComplexF64) -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- setColumn!: (%, Integer, JuliaComplexF64Vector) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- setelt!: (%, Integer, Integer, JuliaComplexF64) -> JuliaComplexF64
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- setelt!: (%, Integer, List Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- setelt!: (%, Integer, List Segment Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- setelt!: (%, List Integer, Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- setelt!: (%, List Integer, List Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- setelt!: (%, List Integer, Segment Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- setelt!: (%, List Segment Integer, Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- setelt!: (%, List Segment Integer, List Segment Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- setelt!: (%, List Segment Integer, Segment Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- setelt!: (%, Segment Integer, List Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- setelt!: (%, Segment Integer, List Segment Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- setelt!: (%, Segment Integer, Segment Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- setRow!: (%, Integer, JuliaComplexF64Vector) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- setsubMatrix!: (%, Integer, Integer, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- size?: (%, NonNegativeInteger) -> Boolean
from Aggregate
- smaller?: (%, %) -> Boolean
from Comparable
- square?: % -> Boolean
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- squareTop: % -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- subMatrix: (%, Integer, Integer, Integer, Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- swapColumns!: (%, Integer, Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- swapRows!: (%, Integer, Integer) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- symmetric?: % -> Boolean
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- transpose!: (%, %) -> %
transpose!(b, a)
stores transposed a inb
.
- transpose: % -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- transpose: JuliaComplexF64Vector -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- urand01: (NonNegativeInteger, NonNegativeInteger) -> %
urand01(m,n)
returns a uniform(0$NNI..1) Julia matrix of size (m
,n
).
- vertConcat: (%, %) -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- vertConcat: List % -> %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- vertSplit: (%, List NonNegativeInteger) -> List %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- vertSplit: (%, PositiveInteger) -> List %
from TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- zero?: % -> Boolean
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
- zero: (NonNegativeInteger, NonNegativeInteger) -> %
from MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
Evalable JuliaComplexF64 if JuliaComplexF64 has Evalable JuliaComplexF64
Hashable if JuliaComplexF64 has Hashable
HomogeneousAggregate JuliaComplexF64
InnerEvalable(JuliaComplexF64, JuliaComplexF64) if JuliaComplexF64 has Evalable JuliaComplexF64
JuliaMatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
MatrixCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)
TwoDimensionalArrayCategory(JuliaComplexF64, JuliaComplexF64Vector, JuliaComplexF64Vector)