matrix

Documentation

Index

• type Matrix
  • func AntiCommutator(m, n Matrix) Matrix
  • func Apply(m ...Matrix) Matrix
  • func ApplyN(m Matrix, n ...int) Matrix
  • func Commutator(m, n Matrix) Matrix
  • func Identity(n int) Matrix
  • func New(v ...[]complex128) Matrix
  • func TensorProduct(m ...Matrix) Matrix
  • func TensorProductN(m Matrix, n ...int) Matrix
  • func Zero(n int) Matrix
  • func (m Matrix) Add(n Matrix) Matrix
  • func (m Matrix) Apply(n Matrix) Matrix
  • func (m Matrix) Clone() Matrix
  • func (m Matrix) Conjugate() Matrix
  • func (m Matrix) Dagger() Matrix
  • func (m Matrix) Dimension() (int, int)
  • func (m Matrix) Equals(n Matrix, eps ...float64) bool
  • func (m Matrix) Imag() [][]float64
  • func (m Matrix) Inverse() Matrix
  • func (m Matrix) IsHermite(eps ...float64) bool
  • func (m Matrix) IsSquare() bool
  • func (m Matrix) IsUnitary(eps ...float64) bool
  • func (m Matrix) Mul(z complex128) Matrix
  • func (m Matrix) Real() [][]float64
  • func (m Matrix) Sub(n Matrix) Matrix
  • func (m Matrix) TensorProduct(n Matrix) Matrix
  • func (m Matrix) Trace() complex128
  • func (m Matrix) Transpose() Matrix

Examples

• Apply
• ApplyN
• Matrix.Apply
• Matrix.Imag
• Matrix.Mul
• Matrix.Real
• Matrix.TensorProduct
• TensorProduct
• TensorProductN
• Zero

Types

type Matrix

type Matrix [][]complex128

func AntiCommutator

func AntiCommutator(m, n Matrix) Matrix

func Apply

func Apply(m ...Matrix) Matrix

Example

package main

import (
	"fmt"

	"github.com/itsubaki/q/math/matrix"
)

func main() {
	x := matrix.New(
		[]complex128{0, 1},
		[]complex128{1, 0},
	)

	for _, r := range matrix.Apply(x, x) {
		fmt.Println(r)
	}

}

Output:

[(1+0i) (0+0i)]
[(0+0i) (1+0i)]

func ApplyN

func ApplyN(m Matrix, n ...int) Matrix

Example

package main

import (
	"fmt"

	"github.com/itsubaki/q/math/matrix"
)

func main() {
	x := matrix.New(
		[]complex128{0, 1},
		[]complex128{1, 0},
	)

	for _, r := range matrix.ApplyN(x) {
		fmt.Println(r)
	}
	fmt.Println()

	for _, r := range matrix.ApplyN(x, 2) {
		fmt.Println(r)
	}

}

Output:

[(0+0i) (1+0i)]
[(1+0i) (0+0i)]

[(1+0i) (0+0i)]
[(0+0i) (1+0i)]

func Commutator

func Commutator(m, n Matrix) Matrix

func Identity

func Identity(n int) Matrix

func New

func New(v ...[]complex128) Matrix

func TensorProduct

func TensorProduct(m ...Matrix) Matrix

Example

package main

import (
	"fmt"

	"github.com/itsubaki/q/math/matrix"
)

func main() {
	x := matrix.New(
		[]complex128{0, 1},
		[]complex128{1, 0},
	)

	for _, r := range matrix.TensorProduct(x, x) {
		fmt.Println(r)
	}

}

Output:

[(0+0i) (0+0i) (0+0i) (1+0i)]
[(0+0i) (0+0i) (1+0i) (0+0i)]
[(0+0i) (1+0i) (0+0i) (0+0i)]
[(1+0i) (0+0i) (0+0i) (0+0i)]

func TensorProductN

func TensorProductN(m Matrix, n ...int) Matrix

Example

package main

import (
	"fmt"

	"github.com/itsubaki/q/math/matrix"
)

func main() {
	x := matrix.New(
		[]complex128{0, 1},
		[]complex128{1, 0},
	)

	for _, r := range matrix.TensorProductN(x, 2) {
		fmt.Println(r)
	}

}

Output:

[(0+0i) (0+0i) (0+0i) (1+0i)]
[(0+0i) (0+0i) (1+0i) (0+0i)]
[(0+0i) (1+0i) (0+0i) (0+0i)]
[(1+0i) (0+0i) (0+0i) (0+0i)]

func Zero

func Zero(n int) Matrix

Example

package main

import (
	"fmt"

	"github.com/itsubaki/q/math/matrix"
)

func main() {
	fmt.Println(matrix.Zero(0))
	fmt.Println(matrix.Zero(1))
	fmt.Println(matrix.Zero(2))

}

Output:

[]
[[(0+0i)]]
[[(0+0i) (0+0i)] [(0+0i) (0+0i)]]

func (Matrix) Add

func (m Matrix) Add(n Matrix) Matrix

func (Matrix) Apply

func (m Matrix) Apply(n Matrix) Matrix

Example

package main

import (
	"fmt"

	"github.com/itsubaki/q/math/matrix"
)

func main() {
	x := matrix.New(
		[]complex128{0, 1},
		[]complex128{1, 0},
	)

	fmt.Println("x:")
	for _, r := range x {
		fmt.Println(r)
	}

	fmt.Println("xx:")
	for _, r := range x.Apply(x) {
		fmt.Println(r)
	}

}

Output:

x:
[(0+0i) (1+0i)]
[(1+0i) (0+0i)]
xx:
[(1+0i) (0+0i)]
[(0+0i) (1+0i)]

func (Matrix) Clone

func (m Matrix) Clone() Matrix

func (Matrix) Conjugate

func (m Matrix) Conjugate() Matrix

func (Matrix) Dagger

func (m Matrix) Dagger() Matrix

Dagger returns conjugate transpose matrix.

func (Matrix) Dimension

func (m Matrix) Dimension() (int, int)

func (Matrix) Equals

func (m Matrix) Equals(n Matrix, eps ...float64) bool

func (Matrix) Imag

func (m Matrix) Imag() [][]float64

Example

package main

import (
	"fmt"

	"github.com/itsubaki/q/math/matrix"
)

func main() {
	m := matrix.New(
		[]complex128{1 + 1i, 2 + 3i},
		[]complex128{4 + 5i, 6 + 7i},
	)

	for _, r := range m.Imag() {
		fmt.Println(r)
	}

}

Output:

[1 3]
[5 7]

func (Matrix) Inverse

func (m Matrix) Inverse() Matrix

func (Matrix) IsHermite

func (m Matrix) IsHermite(eps ...float64) bool

func (Matrix) IsSquare

func (m Matrix) IsSquare() bool

func (Matrix) IsUnitary

func (m Matrix) IsUnitary(eps ...float64) bool

func (Matrix) Mul

func (m Matrix) Mul(z complex128) Matrix

Example

package main

import (
	"fmt"

	"github.com/itsubaki/q/math/matrix"
)

func main() {
	m := matrix.New(
		[]complex128{0, 1 + 1i},
		[]complex128{1 + 1i, 0},
	)

	for _, r := range m.Mul(3i) {
		fmt.Println(r)
	}

}

Output:

[(0+0i) (-3+3i)]
[(-3+3i) (0+0i)]

func (Matrix) Real

func (m Matrix) Real() [][]float64

Example

package main

import (
	"fmt"

	"github.com/itsubaki/q/math/matrix"
)

func main() {
	m := matrix.New(
		[]complex128{1 + 1i, 2 + 3i},
		[]complex128{4 + 5i, 6 + 7i},
	)

	for _, r := range m.Real() {
		fmt.Println(r)
	}

}

Output:

[1 2]
[4 6]

func (Matrix) Sub

func (m Matrix) Sub(n Matrix) Matrix

func (Matrix) TensorProduct

func (m Matrix) TensorProduct(n Matrix) Matrix

Example

package main

import (
	"fmt"

	"github.com/itsubaki/q/math/matrix"
)

func main() {
	x := matrix.New(
		[]complex128{0, 1},
		[]complex128{1, 0},
	)

	fmt.Println("x:")
	for _, r := range x {
		fmt.Println(r)
	}

	fmt.Println("xx:")
	for _, r := range x.TensorProduct(x) {
		fmt.Println(r)
	}

}

Output:

x:
[(0+0i) (1+0i)]
[(1+0i) (0+0i)]
xx:
[(0+0i) (0+0i) (0+0i) (1+0i)]
[(0+0i) (0+0i) (1+0i) (0+0i)]
[(0+0i) (1+0i) (0+0i) (0+0i)]
[(1+0i) (0+0i) (0+0i) (0+0i)]

func (Matrix) Trace

func (m Matrix) Trace() complex128

func (Matrix) Transpose

func (m Matrix) Transpose() Matrix