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 | OpenMx (R) name | Mx name | Conformability | OpenMx Version |
|---|---|---|---|---|
| Square Bracket Operator (element) | A[x,y] | \part(A,B) | -- | 1.0 |
| Square Bracket Operator (row or col) |
A[x,] or A[,y] | -- | -- | 1.0 |
| Square Bracket Operator (subrange) | A[x:y, w:z] | \part(A,B) | -- | 1.0 |
| Inversion | solve(A) | A~ | r=c | 1.0 |
| Transpose | t(A) | A' | -- | 1.0 |
| Element powering | A ^ B | -- | rA=rB and cA=c B | 1.0 |
| Matrix multiplication | A %*% B | A * B | cA=rb | 1.0 |
| Element multiplication (Hadamard product) | A * B | A . B | rA=rB and cA=c B | 1.0 |
| Kronecker product | A %x% B | A @ B | -- | 1.0 |
| Kronecker exponent | A %^% B | A ^ B | -- | 1.0 |
| Quadratic product1 | A %&% B | A & B | cA=rB=cB | 1.0 |
| Element division | A / B | A % B | rA=rB and cA=c B | 1.0 |
| Addition | A + B | A + B | rA=rB and cA=c B | 1.0 |
| Subtraction (binary) | A - B | A - B | rA=rB and cA=c B | 1.0 |
| Subtraction (unary) | - A | - A | -- | 1.0 |
| Horizontal adhesion | cbind(A,B,C) | A | B | C | rA=rB | 1.0 |
| Vertical adhesion | rbind(A,B,C) | A _ B _ C | cA=cB | 1.0 |
| Determinant | det(A) | \det(A) | -- | 1.0 |
| Trace1 | tr(A) | \tr(A) | -- | 1.0 |
| Sum | sum(A,B,C) | \sum(A,B,C) | -- | 1.0 |
| Product | prod(A,B,C) | \prod(A,B,C) | -- | 1.0 |
| Maximum | max(A,B,C) | \max(A,B,C) | -- | 1.0 |
| Minimum | min(A,B,C) | \min(A,B,C) | -- | 1.0 |
| Absolute value | abs(A) | \abs(A) | -- | 1.0 |
| Cosine | cos(A) | \cos(A) | -- | 1.0 |
| Hyperbolic cosine | cosh(A) | \cosh(A) | -- | 1.0 |
| Sine | sin(A) | \sin(A) | -- | 1.0 |
| Hyperbolic sine | sinh(A) | \sinh(A) | -- | 1.0 |
| Tangent | tan(A) | \tan(A) | -- | 1.0 |
| Hyperbolic tangent | tanh(A) | \tanh(A) | -- | 1.0 |
| Element Exponent | exp(A) | \exp(A) | -- | 1.0 |
| Element Natural Log | log(A) | \ln(A) | -- | 1.0 |
| Element Square Root | sqrt(A) | \sqrt(A) | -- | 1.0 |
| Half-vectorization | vech(A) | \vech(A) | -- | 1.0 |
| Strict half-vectorization | vechs(A) | -- | -- | 1.0 |
| Diagonal to vector | diag2vec(A) | \d2v(A) | -- | 1.0 |
| Vector to diagonal | vec2diag(A) | \v2d(A) | rA=1 or cA=1 | 1.0 |
| Multivariate normal integration | omxMnor(A) | \mnor(A) | -- | 1.0 |
| All cells multivariate number integration | omxAllInt(A) | \allint(A) | -- | 1.0 |
| Vectorize by row | rvectorize(A) | \m2v(A) | -- | 1.0 |
| Vectorize by column | cvectorize(A) | \vec(A) | -- | 1.0 |
| Real Eigenvectors | eigenvec(A) | \evec(A) | -- | 1.0 |
| Real Eigenvalues | eigenval(A) | \eval(A) | -- | 1.0 |
| Imaginary Eigenvectors | ieigenvec(A) | \ivec(A) | -- | 1.0 |
| Imaginary Eigenvalues | ieigenval(A) | \ival(A) | -- | 1.0 |
| Mean | mean(A) | -- | -- | 1.1 |
| Logical Negation | omxNot(A) | -- | -- | 1.1 |
| Logical Greater Than | omxGreaterThan(A,B) | -- | -- | 1.1 |
| Logical Less Than | omxLessThan(A,B) | -- | -- | 1.1 |
| Logical And | omxAnd(A,B) | -- | -- | 1.1 |
| Logical Or | omxOr(A,B) | -- | -- | 1.1 |
| Approximate Equals | omxApproxEquals(A,B,ε) | -- | -- | 1.1 |
| Select Rows | omxSelectRows(A, selector) | -- | -- | 1.1 |
| Select Cols | omxSelectCols(A, selector) | -- | -- | 1.1 |
| Select Rows & Cols | omxSelectRowsAndCols(A, selector) | -- | -- | 1.1 |
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.