Man pages for linulysses/matrix-manifold
Basic Operations and Functions on Matrix Manifolds
| batch.t | transpose all matrices in an array |
| center.matrices | #' Euler 3-by-3 rotation matrix with the given angles #'... |
| ch | The Cholesky factor (lower triangular) of an SPD |
| ch.to.spd | Map a Cholesky factor into its corresponding SPD |
| count.sym.matrix | count the number of matrices represented by an array or a... |
| d.ch | the differential of ch at S |
| d.ch.to.spd | the differential of ch.to.spd at L |
| d.expm | Differential of matrix exponential of SPD manifold |
| diag.part | The diagonal matrix of the diagonal part of a matrix |
| d.logm | Differential of matrix log of SPD manifold |
| euclidean.mean | Euclidean mean of a sample of matrices |
| expm.diag | Matrix exponential of a diagonal matrix |
| frechet.mean | Frechet mean of matrices |
| frechet.mean.ltpd_LogCholesky | Frechet mean of positive lower-triangular matrix under... |
| frechet.mean.spd_LogCholesky | Frechet mean of matrices |
| frechet.mean.spd_LogEuclidean | Frechet mean of matrices |
| frechet.mean.sym_Frobenius | Frechet mean of matrices |
| frobenius | Frobenius inner product of two matrices |
| frobenius.norm | Frobenius norm of a matrix |
| geodesic | Compute the geodesic starting at some point on a manifold |
| geodesic.chol | geodesic on the Cholesky factor space |
| geodesic.ltpd_LogCholesky | geodesic on the Cholesky factor space |
| geodesic.spd_LogCholesky | Log-Cholesky geodesic of SPD at S |
| geodesic.spd_LogEuclidean | Compute the geodesic starting at some point on a manifold |
| geodesic.sym_Frobenius | Frobenius geodesic of symmetric matrices |
| geo.dist | Compute the geodesic distance |
| geo.dist.chol | log-cholesky distance on the Cholesky factor space |
| geo.dist.ltpd_LogCholesky | log-cholesky distance on the Cholesky factor space |
| geo.dist.spd_LogCholesky | Compute the geodesic distance of two SPD in Log-Cholesky... |
| geo.dist.spd_LogEuclidean | Compute the geodesic distance |
| geo.dist.sym_Frobenius | Compute the geodesic distance of two symmetric in Forbenius... |
| get.sym.matrix.dim | get the matrix dimensions |
| half | the half operation of A return a matrix B of the same... |
| inv | matrix inverse |
| inv.diag | Inverse of a diagonal matrix |
| is.lower | Check whether a matrix ia a lower triangular matrix |
| is.ltpd | Check whether a matrix ia a LTPD |
| is.spd | Check whether a matrix is a symmetric positive definite... |
| is.sym | Check whether a matrix is a symmetric matrix |
| is.sym.in.matrix.form | Check whether a matrix is represented by its vector form |
| is.sym.in.vec.form | Check whether a symmetric matrix is represented by its vector... |
| is.vec | Check whether an object is a vector |
| logm.diag | Matrix log of a diagonal matrix |
| lower.part | return the lower triangular part of A |
| lower.to.vec | transform a (set of) lower triangular matrix into a vector... |
| lower.to.vec.atomic | transform a (set of) lower triangular matrix into a vector... |
| make.sym | Make a matrix into a symmetric matrix to correct potential... |
| matrix.manifold | Create an object that represent a Riemannian structure on a... |
| metric.chol | log-cholesky metric on the Cholesky factor space |
| mul.diag | Multiplication of two diagonal matrices |
| mul.LE | Log-Euclidean group multiplication |
| parallel.transport | Parallel transport of a tangent vector from one point to... |
| parallel.transport.ltpd_LogCholesky | Parallel transport of a tangent vector from a point to... |
| parallel.transport.spd_LogCholesky | Parallel transport of a tangent vector from a point to... |
| parallel.transport.spd_LogEuclidean | Parallel transport of a tangent vector from one point to... |
| parallel.transport.sym_Frobenius | Parallel transport of a tangent vector from a point to... |
| rie.exp | Compute the Riemannian exponential map |
| rie.exp.chol | log-cholesky exponential map on the Cholesky factor space |
| rie.exp.ltpd_LogCholesky | log-cholesky exponential map on the Cholesky factor space |
| rie.exp.spd_LogCholesky | Riemannian exponential map |
| rie.exp.spd_LogEuclidean | Compute the Riemannian exponential map |
| rie.exp.sym_Frobenius | Frobenius exponential map of symmetric matrices at p |
| rie.log | Compute the Riemannian logarithm map |
| rie.log.chol | log-cholesky log map on the Cholesky factor space |
| rie.log.ltpd_LogCholesky | log-cholesky log map on the Cholesky factor space |
| rie.log.spd_LogCholesky | Riemannian logarithmic map |
| rie.log.spd_LogEuclidean | Compute the Riemannian logarithm map |
| rie.log.sym_Frobenius | Frobenius logarithmic map of symmetric matrices at p |
| rie.metric | Compute the Riemannian metric |
| rie.metric.ltpd_LogCholesky | log-cholesky metric on the Cholesky factor space |
| rie.metric.spd_LogCholesky | Log-Cholesky metric of SPD at p |
| rie.metric.spd_LogEuclidean | Compute the Riemannian metric |
| rie.metric.sym_Frobenius | Frobenius metric of symmetric matrices at p |
| rltmatrix | generate a set of random lower triangular matrix of dimension... |
| rmat | Generate a random matrix |
| rmatrix | Generate a set of random matrices on a matrix manifold |
| rmatrix.ltpd_LogCholesky | Generate a set of random matrices on a matrix manifold |
| rmatrix.spd_LogCholesky | Generate a set of random matrices on a matrix manifold |
| rmatrix.spd_LogEuclidean | Generate a set of random matrices on a matrix manifold |
| rmatrix.sym_Frobenius | Generate a set of random matrices on a matrix manifold |
| rsym | generate a set of random symmetric matrix of dimension d |
| rtvecor | Generate a set of random matrices that represent tangent... |
| rtvecor.ltpd_LogCholesky | Generate a set of normally distributed random matrices that... |
| rtvecor.spd_LogCholesky | Generate a set of normally distributed random matrices that... |
| rtvecor.spd_LogEuclidean | Generate a set of random matrices that represent tangent... |
| rtvecor.sym_Frobenius | Generate a set of normally distributed random matrices that... |
| rutmatrix | generate a random upper triangular matrix of dimension d |
| strict.lower.part | The strict lower triangular part of a matrix |
| strict.upper.part | The strict upper triangular part of a matrix |
| sym.to.matrix.form | transform a matrix into its matrix form |
| sym.to.vec | Transform a lower triangular matrix into a vector... |
| sym.to.vec.atomic | Transform a lower triangular matrix into a vector... |
| sym.to.vec.form | transform a matrix into its vector form |
| trace | Trace of a matrix |
| upper.part | The upper triangular part of a matrix |
| vec.to.lower | recover a (set of) lower triangular matrix from its vector... |
| vec.to.lower.atomic | recover a lower triangular matrix from its vector... |
| vec.to.sym | recover a (set of) lower triangular matrix from its vector... |
| vec.to.sym.atomic | Transform a vector created by 'sym.to.vec.atomic' or... |
