method

**

v1_9_3_125 - Show latest stable - 0 notes - Class: Matrix

1_8_6_287 (0)
1_8_7_72 (0)
1_8_7_330 (0)
1_9_1_378 (-3)
1_9_2_180 (2)
1_9_3_125 (4)
1_9_3_392 (0)
2_1_10 (0)
2_2_9 (0)
2_4_6 (0)
2_5_5 (0)
2_6_3
What's this?

**(other) public

Matrix exponentiation. Equivalent to multiplying the matrix by itself N times. Non integer exponents will be handled by diagonalizing the matrix.

Matrix[[7,6], [3,9]] ** 2
  => 67 96
     48 99

Show source

# File lib/matrix.rb, line 969
  def ** (other)
    case other
    when Integer
      x = self
      if other <= 0
        x = self.inverse
        return Matrix.identity(self.column_size) if other == 0
        other = -other
      end
      z = nil
      loop do
        z = z ? z * x : x if other[0] == 1
        return z if (other >>= 1).zero?
        x *= x
      end
    when Numeric
      v, d, v_inv = eigensystem
      v * Matrix.diagonal(*d.each(:diagonal).map{|e| e ** other}) * v_inv
    else
      Matrix.Raise ErrOperationNotDefined, "**", self.class, other.class
    end
  end

**

Related methods