## Revision of Matrix Operators and Functions from Fri, 09/11/2009 - 17:01

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The following table list matrix operators and functions that are supported by OpenMx. A blank value for the columns 'Implemented' or 'Passing Tests' indicates that the entry has been implemented or is passing the sample tests, respectively.

 Operator name R name Mx name Implemented Passing Tests Inversion solve(A) A~ Yes Transpose t(A) A' Yes Element powering A ^ B A ^ B Yes Matrix multiplication A %*% B A * B Yes Dot product A * B A . B Yes Kronecker product A %x% B A @ B Yes Quadratic product1 A %&% B A & B Yes Element division A / B A % B Yes Addition A + B A + B Yes Subtraction (binary) A - B A - B Yes Subtraction (unary) - A - A Yes Horizontal adhesion cbind(A,B,C) A | B | C Yes Vertical adhesion rbind(A,B,C) A _ B _ C Yes Determinant det(A) \det(A) No Trace1 tr(A) \tr(A) Yes Sum sum(A,B,C) \sum(A,B,C) Yes Product prod(A,B,C) \prod(A,B,C) Yes Maximum max(A,B,C) \max(A,B,C) Yes Minimum min(A,B,C) \min(A,B,C) Yes Absolute value abs(A) \abs(A) Yes Cosine cos(A) \cos(A) Yes Hyperbolic cosine cosh(A) \cosh(A) Yes Sine sin(A) \sin(A) Yes Hyperbolic sine sinh(A) \sinh(A) Yes Tangent tan(A) \tan(A) Yes Hyperbolic tangent tanh(A) \tanh(A) Yes Element Exponent exp(A) \exp(A) Yes Element Natural Log log(A) \ln(A) Yes Element Square Root sqrt(A) \sqrt(A) Yes

1 Support for this operation in the R frontend is provided by the OpenMx library. This operation is not defined by the R core library, so you will be unable to use it without loading the OpenMx library.