Class: Complex

Members

---

re :number

The real component of this complex number.

Type:

• number

---

im :number

The imaginary component of this complex number.

Type:

• number

Methods

---

arg()

Computes the phase angle of this complex number.

Returns:

Type

number

---

norm()

Computes the norm of this complex number.

Returns:

Type

number

---

norm2()

Computes the squared norm of this complex number.

Returns:

Type

number

---

conjugate()

Computes a - bi

Returns:

Type

module:LinearAlgebra.Complex

---

inverse()

Computes (a + bi)^-1

Returns:

Type

module:LinearAlgebra.Complex

---

polar()

Computes the polar form ae^(iθ), where a is the norm and θ is the
phase angle of this complex number.

Returns:

Type

module:LinearAlgebra.Complex

---

exp()

Exponentiates this complex number.

Returns:

Type

module:LinearAlgebra.Complex

---

plus(v)

Returns u + v

Parameters:

Name	Type	Description
v	module:LinearAlgebra.Complex	The complex number added to this complex number.

Returns:

Type

module:LinearAlgebra.Complex

---

minus(v)

Returns u - v

Parameters:

Name	Type	Description
v	module:LinearAlgebra.Complex	The complex number subtracted from this complex number.

Returns:

Type

module:LinearAlgebra.Complex

---

timesReal(s)

Returns u * s

Parameters:

Name	Type	Description
s	number	The number this complex number is multiplied by.

Returns:

Type

module:LinearAlgebra.Complex

---

overReal(s)

Returns u / s

Parameters:

Name	Type	Description
s	number	The number this complex number is divided by.

Returns:

Type

module:LinearAlgebra.Complex

---

timesComplex(v)

Returns u * v

Parameters:

Name	Type	Description
v	module:LinearAlgebra.Complex	The complex number this complex number is multiplied by.

Returns:

Type

module:LinearAlgebra.Complex

---

overComplex(v)

Returns u / v

Parameters:

Name	Type	Description
v	module:LinearAlgebra.Complex	The complex number this complex number is divided by.

Returns:

Type

module:LinearAlgebra.Complex