diff options
author | marcandre <marcandre@b2dd03c8-39d4-4d8f-98ff-823fe69b080e> | 2011-07-01 06:21:24 +0000 |
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committer | marcandre <marcandre@b2dd03c8-39d4-4d8f-98ff-823fe69b080e> | 2011-07-01 06:21:24 +0000 |
commit | 59a3d59496607ebeb618fd781d3af9a6bc8c647e (patch) | |
tree | f62bad8a888a48f5062304c84b34eff8ee32db31 /lib/matrix.rb | |
parent | 004c34f9de58067e627eb714083ca99b17e3fcfd (diff) |
* lib/matrix.rb: Allow non integer exponents for Matrix#**
git-svn-id: svn+ssh://ci.ruby-lang.org/ruby/trunk@32352 b2dd03c8-39d4-4d8f-98ff-823fe69b080e
Diffstat (limited to 'lib/matrix.rb')
-rw-r--r-- | lib/matrix.rb | 9 |
1 files changed, 6 insertions, 3 deletions
diff --git a/lib/matrix.rb b/lib/matrix.rb index 8c6b3d6e87..5ce130221f 100644 --- a/lib/matrix.rb +++ b/lib/matrix.rb @@ -956,8 +956,10 @@ class Matrix private :inverse_from # - # Matrix exponentiation. Currently implemented for integer powers only. + # 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 @@ -977,8 +979,9 @@ class Matrix return z if (other >>= 1).zero? x *= x end - when Float, Rational - Matrix.Raise ErrOperationNotImplemented, "**", self.class, other.class + 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 |