JLComplexF64SquareMatrix nΒΆ

jarray64.spad line 975 [edit on github]

This domain provides a fast Julia Float64 square matrix type with no bound checking on elt's. Minimum index is 1.

0: %

from AbelianMonoid

1: %

from MagmaWithUnit

#: % -> NonNegativeInteger

from Aggregate

*: (%, %) -> %

from Magma

*: (%, DirectProduct(n, JLComplexF64)) -> DirectProduct(n, JLComplexF64)

from SquareMatrixCategory(n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

*: (%, Integer) -> % if JLComplexF64 has LinearlyExplicitOver Integer

from RightModule Integer

*: (%, JLComplexF64) -> %

from RightModule JLComplexF64

*: (DirectProduct(n, JLComplexF64), %) -> DirectProduct(n, JLComplexF64)

from SquareMatrixCategory(n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

*: (Integer, %) -> %

from AbelianGroup

*: (JLComplexF64, %) -> %

from LeftModule JLComplexF64

*: (NonNegativeInteger, %) -> %

from AbelianMonoid

*: (PositiveInteger, %) -> %

from AbelianSemiGroup

+: (%, %) -> %

from AbelianSemiGroup

-: % -> %

from AbelianGroup

-: (%, %) -> %

from AbelianGroup

/: (%, JLComplexF64) -> %

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

=: (%, %) -> Boolean

from BasicType

^: (%, Integer) -> %

from SquareMatrixCategory(n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

^: (%, NonNegativeInteger) -> %

from MagmaWithUnit

^: (%, PositiveInteger) -> %

from Magma

~=: (%, %) -> Boolean

from BasicType

annihilate?: (%, %) -> Boolean

from Rng

antiCommutator: (%, %) -> %

from NonAssociativeSemiRng

antisymmetric?: % -> Boolean

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

any?: (JLComplexF64 -> Boolean, %) -> Boolean

from HomogeneousAggregate JLComplexF64

associator: (%, %, %) -> %

from NonAssociativeRng

characteristic: () -> NonNegativeInteger

from NonAssociativeRing

coerce: % -> JLComplexF64Matrix

coerce(m) coerces m to JLComplexF64Matrix

coerce: % -> OutputForm

from CoercibleTo OutputForm

coerce: Fraction Integer -> %

from CoercibleFrom Fraction Integer

coerce: Integer -> %

from NonAssociativeRing

coerce: JLComplexF64 -> %

from Algebra JLComplexF64

column: (%, Integer) -> DirectProduct(n, JLComplexF64)

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

columnSpace: % -> List DirectProduct(n, JLComplexF64)

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

commutator: (%, %) -> %

from NonAssociativeRng

convert: % -> InputForm if JLComplexF64 has Finite

from ConvertibleTo InputForm

convert: % -> String

from ConvertibleTo String

copy: % -> %

from Aggregate

count: (JLComplexF64 -> Boolean, %) -> NonNegativeInteger

from HomogeneousAggregate JLComplexF64

count: (JLComplexF64, %) -> NonNegativeInteger

from HomogeneousAggregate JLComplexF64

D: % -> %

from DifferentialRing

D: (%, JLComplexF64 -> JLComplexF64) -> %

from DifferentialExtension JLComplexF64

D: (%, JLComplexF64 -> JLComplexF64, NonNegativeInteger) -> %

from DifferentialExtension JLComplexF64

D: (%, List Symbol) -> % if JLComplexF64 has PartialDifferentialRing Symbol

from PartialDifferentialRing Symbol

D: (%, List Symbol, List NonNegativeInteger) -> % if JLComplexF64 has PartialDifferentialRing Symbol

from PartialDifferentialRing Symbol

D: (%, NonNegativeInteger) -> %

from DifferentialRing

D: (%, Symbol) -> % if JLComplexF64 has PartialDifferentialRing Symbol

from PartialDifferentialRing Symbol

D: (%, Symbol, NonNegativeInteger) -> % if JLComplexF64 has PartialDifferentialRing Symbol

from PartialDifferentialRing Symbol

determinant: % -> JLComplexF64

from SquareMatrixCategory(n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

diagonal?: % -> Boolean

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

diagonal: % -> DirectProduct(n, JLComplexF64)

from SquareMatrixCategory(n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

diagonalMatrix: List JLComplexF64 -> %

from SquareMatrixCategory(n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

diagonalProduct: % -> JLComplexF64

from SquareMatrixCategory(n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

differentiate: % -> %

from DifferentialRing

differentiate: (%, JLComplexF64 -> JLComplexF64) -> %

from DifferentialExtension JLComplexF64

differentiate: (%, JLComplexF64 -> JLComplexF64, NonNegativeInteger) -> %

from DifferentialExtension JLComplexF64

differentiate: (%, List Symbol) -> % if JLComplexF64 has PartialDifferentialRing Symbol

from PartialDifferentialRing Symbol

differentiate: (%, List Symbol, List NonNegativeInteger) -> % if JLComplexF64 has PartialDifferentialRing Symbol

from PartialDifferentialRing Symbol

differentiate: (%, NonNegativeInteger) -> %

from DifferentialRing

differentiate: (%, Symbol) -> % if JLComplexF64 has PartialDifferentialRing Symbol

from PartialDifferentialRing Symbol

differentiate: (%, Symbol, NonNegativeInteger) -> % if JLComplexF64 has PartialDifferentialRing Symbol

from PartialDifferentialRing Symbol

elt: (%, Integer, Integer) -> JLComplexF64

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

elt: (%, Integer, Integer, JLComplexF64) -> JLComplexF64

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

empty?: % -> Boolean

from Aggregate

empty: () -> %

from Aggregate

enumerate: () -> List % if JLComplexF64 has Finite

from Finite

eq?: (%, %) -> Boolean

from Aggregate

eval: (%, Equation JLComplexF64) -> % if JLComplexF64 has Evalable JLComplexF64

from Evalable JLComplexF64

eval: (%, JLComplexF64, JLComplexF64) -> % if JLComplexF64 has Evalable JLComplexF64

from InnerEvalable(JLComplexF64, JLComplexF64)

eval: (%, List Equation JLComplexF64) -> % if JLComplexF64 has Evalable JLComplexF64

from Evalable JLComplexF64

eval: (%, List JLComplexF64, List JLComplexF64) -> % if JLComplexF64 has Evalable JLComplexF64

from InnerEvalable(JLComplexF64, JLComplexF64)

every?: (JLComplexF64 -> Boolean, %) -> Boolean

from HomogeneousAggregate JLComplexF64

exquo: (%, JLComplexF64) -> Union(%, failed)

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

hash: % -> SingleInteger if JLComplexF64 has Finite

from Hashable

hashUpdate!: (HashState, %) -> HashState if JLComplexF64 has Finite

from Hashable

index: PositiveInteger -> % if JLComplexF64 has Finite

from Finite

inverse: % -> Union(%, failed)

from SquareMatrixCategory(n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

latex: % -> String

from SetCategory

leftPower: (%, NonNegativeInteger) -> %

from MagmaWithUnit

leftPower: (%, PositiveInteger) -> %

from Magma

leftRecip: % -> Union(%, failed)

from MagmaWithUnit

less?: (%, NonNegativeInteger) -> Boolean

from Aggregate

listOfLists: % -> List List JLComplexF64

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

lookup: % -> PositiveInteger if JLComplexF64 has Finite

from Finite

map: ((JLComplexF64, JLComplexF64) -> JLComplexF64, %, %) -> %

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

map: (JLComplexF64 -> JLComplexF64, %) -> %

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

matrix: List List JLComplexF64 -> %

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

max: % -> JLComplexF64 if JLComplexF64 has OrderedSet

from HomogeneousAggregate JLComplexF64

max: ((JLComplexF64, JLComplexF64) -> Boolean, %) -> JLComplexF64

from HomogeneousAggregate JLComplexF64

maxColIndex: % -> Integer

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

maxRowIndex: % -> Integer

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

member?: (JLComplexF64, %) -> Boolean

from HomogeneousAggregate JLComplexF64

members: % -> List JLComplexF64

from HomogeneousAggregate JLComplexF64

min: % -> JLComplexF64 if JLComplexF64 has OrderedSet

from HomogeneousAggregate JLComplexF64

minColIndex: % -> Integer

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

minordet: % -> JLComplexF64

from SquareMatrixCategory(n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

minRowIndex: % -> Integer

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

more?: (%, NonNegativeInteger) -> Boolean

from Aggregate

ncols: % -> NonNegativeInteger

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

nrows: % -> NonNegativeInteger

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

nullity: % -> NonNegativeInteger

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

nullSpace: % -> List DirectProduct(n, JLComplexF64)

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

one?: % -> Boolean

from MagmaWithUnit

opposite?: (%, %) -> Boolean

from AbelianMonoid

parts: % -> List JLComplexF64

from HomogeneousAggregate JLComplexF64

Pfaffian: % -> JLComplexF64

from SquareMatrixCategory(n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

plenaryPower: (%, PositiveInteger) -> %

from NonAssociativeAlgebra JLComplexF64

qcoerce: JLComplexF64Matrix -> %

qcoerce(m) coerces m to JLComplexF64SquareMatrix trusting that m is square.

qelt: (%, Integer, Integer) -> JLComplexF64

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

random: () -> % if JLComplexF64 has Finite

from Finite

rank: % -> NonNegativeInteger

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

recip: % -> Union(%, failed)

from MagmaWithUnit

reducedSystem: (Matrix %, Vector %) -> Record(mat: Matrix Integer, vec: Vector Integer) if JLComplexF64 has LinearlyExplicitOver Integer

from LinearlyExplicitOver Integer

reducedSystem: (Matrix %, Vector %) -> Record(mat: Matrix JLComplexF64, vec: Vector JLComplexF64)

from LinearlyExplicitOver JLComplexF64

reducedSystem: Matrix % -> Matrix Integer if JLComplexF64 has LinearlyExplicitOver Integer

from LinearlyExplicitOver Integer

reducedSystem: Matrix % -> Matrix JLComplexF64

from LinearlyExplicitOver JLComplexF64

retract: % -> Fraction Integer

from RetractableTo Fraction Integer

retract: % -> Integer

from RetractableTo Integer

retract: % -> JLComplexF64

from RetractableTo JLComplexF64

retractIfCan: % -> Union(Fraction Integer, failed)

from RetractableTo Fraction Integer

retractIfCan: % -> Union(Integer, failed)

from RetractableTo Integer

retractIfCan: % -> Union(JLComplexF64, failed)

from RetractableTo JLComplexF64

rightPower: (%, NonNegativeInteger) -> %

from MagmaWithUnit

rightPower: (%, PositiveInteger) -> %

from Magma

rightRecip: % -> Union(%, failed)

from MagmaWithUnit

row: (%, Integer) -> DirectProduct(n, JLComplexF64)

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

rowEchelon: % -> %

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

sample: %

from AbelianMonoid

scalarMatrix: JLComplexF64 -> %

from SquareMatrixCategory(n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

size?: (%, NonNegativeInteger) -> Boolean

from Aggregate

size: () -> NonNegativeInteger if JLComplexF64 has Finite

from Finite

smaller?: (%, %) -> Boolean if JLComplexF64 has Finite

from Comparable

square?: % -> Boolean

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

squareMatrix: JLComplexF64Matrix -> %

squareMatrix(m) returns a copy of m as a JLComplexF64SquareMatrix.

string: % -> String

from JLType

subtractIfCan: (%, %) -> Union(%, failed)

from CancellationAbelianMonoid

symmetric?: % -> Boolean

from RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

trace: % -> JLComplexF64

from SquareMatrixCategory(n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

zero?: % -> Boolean

from AbelianMonoid

AbelianGroup

AbelianMonoid

AbelianSemiGroup

Aggregate

Algebra JLComplexF64

BasicType

BiModule(%, %)

BiModule(JLComplexF64, JLComplexF64)

CancellationAbelianMonoid

CoercibleFrom Fraction Integer

CoercibleFrom Integer

CoercibleFrom JLComplexF64

CoercibleTo JLComplexF64Matrix

CoercibleTo OutputForm

Comparable if JLComplexF64 has Finite

ConvertibleTo InputForm if JLComplexF64 has Finite

ConvertibleTo String

DifferentialExtension JLComplexF64

DifferentialRing

Evalable JLComplexF64 if JLComplexF64 has Evalable JLComplexF64

Finite if JLComplexF64 has Finite

finiteAggregate

FullyLinearlyExplicitOver JLComplexF64

FullyRetractableTo JLComplexF64

Hashable if JLComplexF64 has Finite

HomogeneousAggregate JLComplexF64

InnerEvalable(JLComplexF64, JLComplexF64) if JLComplexF64 has Evalable JLComplexF64

JLType

LeftModule %

LeftModule JLComplexF64

LinearlyExplicitOver Integer if JLComplexF64 has LinearlyExplicitOver Integer

LinearlyExplicitOver JLComplexF64

Magma

MagmaWithUnit

Module JLComplexF64

Monoid

NonAssociativeAlgebra JLComplexF64

NonAssociativeRing

NonAssociativeRng

NonAssociativeSemiRing

NonAssociativeSemiRng

PartialDifferentialRing Symbol if JLComplexF64 has PartialDifferentialRing Symbol

RectangularMatrixCategory(n, n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

RetractableTo Fraction Integer

RetractableTo Integer

RetractableTo JLComplexF64

RightModule %

RightModule Integer if JLComplexF64 has LinearlyExplicitOver Integer

RightModule JLComplexF64

Ring

Rng

SemiGroup

SemiRing

SemiRng

SetCategory

SquareMatrixCategory(n, JLComplexF64, DirectProduct(n, JLComplexF64), DirectProduct(n, JLComplexF64))

TwoSidedRecip

unitsKnown