MatrixExp

MatrixExp[m]

gives the matrix exponential of m.

MatrixExp[m,v]

gives the matrix exponential of m applied to the vector v.

Details and Options

  • MatrixExp[m] effectively evaluates the power series for the exponential function, with ordinary powers replaced by matrix powers.
  • MatrixExp works only on square matrices.
  • In MatrixExp[m,v] the matrix m can be a SparseArray object.

Examples

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Basic Examples  (2)

Exponential of a 2×2 matrix:

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Exponential applied to a vector:

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Scope  (4)

Applications  (2)

Properties & Relations  (4)

Possible Issues  (1)

Neat Examples  (1)

See Also

MatrixPower  Dot  JordanDecomposition  QRDecomposition  MatrixLog  MatrixFunction  Exp

Tutorials

Introduced in 1991
(2.0)
| Updated in 2007
(6.0)