JLComplexF64MatrixΒΆ

jarray64.spad line 707 [edit on github]

This domain provides a fast JLComplexF64 matrix type with no bound checking on elt's. Minimum index is 1.

#: % -> NonNegativeInteger

from Aggregate

*: (%, %) -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

*: (%, JLComplexF64) -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

*: (%, JLComplexF64Vector) -> JLComplexF64Vector

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

*: (Integer, %) -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

*: (JLComplexF64, %) -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

*: (JLComplexF64Vector, %) -> JLComplexF64Vector

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

+: (%, %) -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

-: % -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

-: (%, %) -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

/: (%, JLComplexF64) -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

=: (%, %) -> Boolean

from BasicType

^: (%, Integer) -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

^: (%, NonNegativeInteger) -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

~=: (%, %) -> Boolean

from BasicType

adjoint!: (%, %) -> %

adjoint!(a, m) stores in a the adjoint of m i.e. the conjugate transposition of m.

adjoint: % -> %

adjoint(m) returns the adjoint of m i.e. the conjugate transposition of m.

antisymmetric?: % -> Boolean

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

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

from HomogeneousAggregate JLComplexF64

array2: List List JLComplexF64 -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

blockConcat: List List % -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

blockSplit: (%, List NonNegativeInteger, List NonNegativeInteger) -> List List %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

blockSplit: (%, PositiveInteger, PositiveInteger) -> List List %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

coerce: % -> OutputForm

from CoercibleTo OutputForm

coerce: JLComplexF64Vector -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

coerce: JLFloat64Matrix -> %

coerce(m) coerces m to a a JL Complex Float 64 matrix.

colSlice: % -> Segment Integer

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

column: (%, Integer) -> JLComplexF64Vector

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

columnSpace: % -> List JLComplexF64Vector

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

convert: % -> String

from ConvertibleTo String

copy!: (%, %) -> %

copy!(b,a) copies efficiently a to b. No check are done on arrays dimensions.

copy: % -> %

from Aggregate

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

from HomogeneousAggregate JLComplexF64

count: (JLComplexF64, %) -> NonNegativeInteger

from HomogeneousAggregate JLComplexF64

determinant: % -> JLComplexF64

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

diagonal?: % -> Boolean

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

diagonalMatrix: JLComplexF64Vector -> %

diagonalMatrix(v) returns a diagonal matrix with elements of v.

diagonalMatrix: List % -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

diagonalMatrix: List JLComplexF64 -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

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

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

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

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

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

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

elt: (%, Integer, List Segment Integer) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

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

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

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

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

elt: (%, List Integer, Segment Integer) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

elt: (%, List Segment Integer, Integer) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

elt: (%, List Segment Integer, List Segment Integer) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

elt: (%, List Segment Integer, Segment Integer) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

elt: (%, Segment Integer, List Integer) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

elt: (%, Segment Integer, List Segment Integer) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

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

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

empty?: % -> Boolean

from Aggregate

empty: () -> %

from Aggregate

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 MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

fill!: (%, JLComplexF64) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

hash: % -> SingleInteger if JLComplexF64 has Hashable

from Hashable

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

from Hashable

hermitian?: % -> Boolean

hermitian?(m) tests hermiticity of m.

hermitianPart!: % -> %

hermitianPart!(m) overwites m with the symmetric part of m (m + m')/2 to save memory space and returns m.

hermitianPart: % -> %

hermitianPart(m) returns the symmetric part of m (m + m')/2.

horizConcat: (%, %) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

horizConcat: List % -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

horizSplit: (%, List NonNegativeInteger) -> List %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

horizSplit: (%, PositiveInteger) -> List %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

imag: % -> JLFloat64Matrix

imag(m) returns a JLFloat64 matrix with the imaginary part of the m elements.

inverse: % -> Union(%, failed)

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

jlApply: (String, %) -> JLFloat64

jlApply(func, x) apply func to argument x.

jlApply: (String, %) -> Void

jlApply(func, x) apply func to argument x.

jlApply: (String, %, JLFloat64) -> JLFloat64

jlApply(func, x, val) apply func to arguments x 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 prints m (Γ  la JL).

jlVector: % -> JLComplexF64Vector

jlVector(m) returns reference to the internal vector representation.

juliaCMPrint: Boolean -> Boolean

juliaMPrint(b) defines whether or not FriCAS uses the printing version of JL for matrices instead of its OutputForm version. Returns previous value. By default it is the JL version.

kronecker_prod1: (%, Integer, List List NonNegativeInteger, List %, NonNegativeInteger, NonNegativeInteger, Union(JLComplexF64, one)) -> Void

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

kroneckerProduct: (%, %) -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

kroneckerProduct: List % -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

kroneckerSum: (%, %) -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

kroneckerSum: List % -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

latex: % -> String

from SetCategory

less?: (%, NonNegativeInteger) -> Boolean

from Aggregate

listOfLists: % -> List List JLComplexF64

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

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

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

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

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

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

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

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

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

matrix: (NonNegativeInteger, NonNegativeInteger, (Integer, Integer) -> JLComplexF64) -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

matrix: List List JLComplexF64 -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

max: % -> JLComplexF64 if JLComplexF64 has OrderedSet

from HomogeneousAggregate JLComplexF64

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

from HomogeneousAggregate JLComplexF64

maxColIndex: % -> Integer

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

maxRowIndex: % -> Integer

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

member?: (JLComplexF64, %) -> Boolean

from HomogeneousAggregate JLComplexF64

members: % -> List JLComplexF64

from HomogeneousAggregate JLComplexF64

min: % -> JLComplexF64 if JLComplexF64 has OrderedSet

from HomogeneousAggregate JLComplexF64

minColIndex: % -> Integer

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

minordet: % -> JLComplexF64

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

minRowIndex: % -> Integer

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

more?: (%, NonNegativeInteger) -> Boolean

from Aggregate

ncols: % -> NonNegativeInteger

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

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

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

nrand: (NonNegativeInteger, NonNegativeInteger) -> %

nrand(m,n) returns a normally distributed JL matrix of size (m,n). See JL documentation (randn) for this complex version used here.

nrows: % -> NonNegativeInteger

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

nullity: % -> NonNegativeInteger

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

nullSpace: % -> List JLComplexF64Vector

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

parts: % -> List JLComplexF64

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

Pfaffian: % -> JLComplexF64

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

positiveDefinite?: % -> Boolean

positiveDefinite?(m) tests wether or not m is Hermitian positive definite using a Cholesky factorisation.

positivePower: (%, Integer) -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

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

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

qnew: (NonNegativeInteger, NonNegativeInteger) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

qsetelt!: (%, Integer, Integer, JLComplexF64) -> JLComplexF64

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

rank: % -> NonNegativeInteger

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

real: % -> JLFloat64Matrix

real(m) returns a JLFloat64 matrix with the real part of the m elements.

row: (%, Integer) -> JLComplexF64Vector

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

rowEchelon: % -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

rowSlice: % -> Segment Integer

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

sample: %

from Aggregate

scalarMatrix: (NonNegativeInteger, JLComplexF64) -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

setColumn!: (%, Integer, JLComplexF64Vector) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

setelt!: (%, Integer, Integer, JLComplexF64) -> JLComplexF64

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

setelt!: (%, Integer, List Integer, %) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

setelt!: (%, Integer, List Segment Integer, %) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

setelt!: (%, List Integer, Integer, %) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

setelt!: (%, List Integer, List Integer, %) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

setelt!: (%, List Integer, Segment Integer, %) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

setelt!: (%, List Segment Integer, Integer, %) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

setelt!: (%, List Segment Integer, List Segment Integer, %) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

setelt!: (%, List Segment Integer, Segment Integer, %) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

setelt!: (%, Segment Integer, List Integer, %) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

setelt!: (%, Segment Integer, List Segment Integer, %) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

setelt!: (%, Segment Integer, Segment Integer, %) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

setRow!: (%, Integer, JLComplexF64Vector) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

setsubMatrix!: (%, Integer, Integer, %) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

size?: (%, NonNegativeInteger) -> Boolean

from Aggregate

smaller?: (%, %) -> Boolean

from Comparable

square?: % -> Boolean

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

squareTop: % -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

string: % -> String

from JLType

subMatrix: (%, Integer, Integer, Integer, Integer) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

swapColumns!: (%, Integer, Integer) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

swapRows!: (%, Integer, Integer) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

symmetric?: % -> Boolean

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

transpose!: (%, %) -> %

transpose!(b, a) stores transposed a in b.

transpose: % -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

transpose: JLComplexF64Vector -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

urand01: (NonNegativeInteger, NonNegativeInteger) -> %

urand01(m,n) returns a uniform(0$NNI..1) JL matrix of size (m,n).

vertConcat: (%, %) -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

vertConcat: List % -> %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

vertSplit: (%, List NonNegativeInteger) -> List %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

vertSplit: (%, PositiveInteger) -> List %

from TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

zero?: % -> Boolean

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

zero: (NonNegativeInteger, NonNegativeInteger) -> %

from MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

Aggregate

BasicType

CoercibleTo OutputForm

Comparable

ConvertibleTo String

Evalable JLComplexF64 if JLComplexF64 has Evalable JLComplexF64

finiteAggregate

Hashable if JLComplexF64 has Hashable

HomogeneousAggregate JLComplexF64

InnerEvalable(JLComplexF64, JLComplexF64) if JLComplexF64 has Evalable JLComplexF64

JLMatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

JLType

MatrixCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)

SetCategory

shallowlyMutable

TwoDimensionalArrayCategory(JLComplexF64, JLComplexF64Vector, JLComplexF64Vector)