# Revision of Matrix Operators and Functions from Sun, 09/27/2009 - 06:56

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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 Conformability Implemented/Passing Tests Inversion solve(A) A~ r=c Yes Transpose t(A) A' none Yes Element powering A ^ B A ^ B none Yes Matrix multiplication A %*% B A * B cA=rb Yes Dot product A * B A . B rA=rB and cA=c B Yes Kronecker product A %x% B A @ B -- Yes Quadratic product1 A %&% B A & B cA=rB=cB Yes Element division A / B A % B rA=rB and cA=c B Yes Addition A + B A + B rA=rB and cA=c B Yes Subtraction (binary) A - B A - B rA=rB and cA=c B Yes Subtraction (unary) - A - A -- Yes Horizontal adhesion cbind(A,B,C) A | B | C rA=rB Yes Vertical adhesion rbind(A,B,C) A _ B _ C cA=cB Yes Determinant det(A) \det(A) -- Not implemented 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.