MatrixLog

Available

Computes the matrix logarithm (inverse of MatrixExp)

Forms

MatrixLog[m]

Verified examplesMatrixLog[{{2, 1}, {1, 2}} t]//Simplify → {{(t^2*Log[(4*t - 2*Sqrt[t^2])/2] + t^2*Log[(4*t + 2*Sqrt[t^2])/2])/(2*t^2), (-(t*Log[(4*t - 2*Sqrt[t^2])/2]) + t*Log[(4*t + 2*Sqrt[t^2])/2])/(2*Sqrt[t^2])}, {(-(t*Log[(4*t - 2*Sqrt[t^2])/2]) + t*Log[(4*t + 2*Sqrt[t^2])/2])/(2*Sqrt[t^2]), (t^2*Log[(4*t - 2*Sqrt[t^2])/2] + t^2*Log[(4*t + 2*Sqrt[t^2])/2])/(2*t^2)}}MatrixLog[{{6.557, 1.734}, {4.523, 7.425}}] → {{1.7890051290362035, 0.2631391864457721}, {0.6863774742181241, 1.9207264749617687}}Options

Method — default Automatic

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Topics

Matrix Operations - General
New In90 Alphabetical Listing - M
New In90 Mathematics And Algorithms - New Matrix Functions
Summary Of New Features In141 - Differentiable Symbolic Array Functions
Summary Of New Features In141 - Differentiable Symbolic Array Functions
Summary Of New Features In150 - Other Matrix Functions

Related

MatrixExp MatrixPower LinearSolve Dot SchurDecomposition JordanDecomposition Log MatrixFunction Adjugate Det Inverse KroneckerProduct

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