tensorA v0.36.1
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Advanced Tensor Arithmetic with Named Indices
Provides convenience functions for advanced
linear algebra with tensors and computation with datasets of
tensors on a higher level abstraction. It includes Einstein and
Riemann summing conventions, dragging, co- and contravariate
indices, parallel computations on sequences of tensors.
Functions in tensorA
| Name | Description | |
| margin.tensor | Marginalization of tensors | |
| svd.tensor | Singular value decomposition of tensors | |
| tensorA-package | The tensorA package for tensor arithmetic | |
| bind.tensor | A cbind/rbind for tensors | |
| chol.tensor | Cholesky decomposition of a tensor | |
| norm.tensor | Calculate the Euclidean norm or Euclidean operator norm of a tensor or its subtensors | |
| one.tensor | Creates a tensor with all entries 1 | |
| slice.tensor | Working with the indices of a tensor (accessing, slicing, renaming, ...) | |
| solve.tensor | Solving linear equations with tensors | |
| delta.tensor | Creates a Kronecker delta tensor | |
| diagmul.tensor | Multiplication of a tensor with a tensor given by its diagonal | |
| mark.tensor | Marks the names of a tensor with a mark | |
| mean.tensor | Mean and variance of tensors | |
| diag.tensor | Creates a "diagonal" tensor | |
| drag.tensor | Managing covariate and contravariate indices | |
| tripledelta.tensor | A tensor with entry 1 if and only if three indices are equal | |
| pos.tensor | enumeration of index combinations | |
| undrop.tensor | Adds a spurious dimension to a tensor | |
| power.tensor | Compute the power of a symmetric tensor | |
| mul.tensor | Tensor multiplication for the tensor class | |
| names.tensor | Getting and setting index and dimensionnames of a tensor | |
| add.tensor | Element-wise arithmetic operations +,-,*,/ with tensors | |
| reorder.tensor | Permutation of indices and storage sequence of a tensor | |
| untensor | Removes indices/dimensions from a tensor | |
| as.tensor | Coercion to a tensor | |
| reptensor | Repeats a tensor | |
| to.tensor | Creates a tensor object | |
| inv.tensor | Inversion of a tensor as linear mapping from tensors to tensors | |
| is.tensor | Checking for being a tensor | |
| riemann.tensor | Tensor multiplication with Riemann's convention | |
| sequencing | Working with index sequences | |
| toPos.tensor | get the position of an index of tensor | |
| to.matrix.tensor | The matrix corresponding to a tensor seen as a linear mapping of tensors. | |
| trace.tensor | Collapse a tensor | |
| ftable.tensor | Pretty printing of tensors | |
| einstein.tensor | Tensor multiplication with Einstein's convention, by summing over all equally named indices. | |
| level.tensor | The level (number of indices) of a tensor | |
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Details
| Date | 2008-5-14 |
| License | GPL (>= 2) |
| URL | http://www.stat.boogaart.de/tensorA |
| Encoding | latin1 |
| Packaged | 2018-07-29 16:06:59 UTC; hornik |
| Repository | CRAN |
| Date/Publication | 2018-07-29 16:29:00 UTC |
| NeedsCompilation | yes |
| depends | R (>= 2.2.0) , stats |
| Contributors | K Gerald van den Boogaart |
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