Advanced Tensor Arithmetic with Named Indices

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Documentation for package ‘tensorA’ version 0.36.2.1

• DESCRIPTION file.

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tensorA-package	The tensorA package for tensor arithmetic
$.tensor	Working with index sequences
%e%	Tensor multiplication with Einstein's convention, by summing over all equally named indices.
%e%.tensor	Tensor multiplication with Einstein's convention, by summing over all equally named indices.
%r%	Tensor multiplication with Riemann's convention
%r%.tensor	Tensor multiplication with Riemann's convention
*.tensor	Element-wise arithmetic operations +,-,*,/ with tensors
+.tensor	Element-wise arithmetic operations +,-,*,/ with tensors
-.tensor	Element-wise arithmetic operations +,-,*,/ with tensors
/.tensor	Element-wise arithmetic operations +,-,*,/ with tensors
add.tensor	Element-wise arithmetic operations +,-,*,/ with tensors
as.contravariate	Managing covariate and contravariate indices
as.contravariate.character	Managing covariate and contravariate indices
as.covariate	Managing covariate and contravariate indices
as.covariate.character	Managing covariate and contravariate indices
as.tensor	Coercion to a tensor
as.tensor.default	Coercion to a tensor
as.tensor.tensor	Coercion to a tensor
bind.tensor	A cbind/rbind for tensors
chol.tensor	Cholesky decomposition of a tensor
contraname	Managing covariate and contravariate indices
delta.tensor	Creates a Kronecker delta tensor
diag.tensor	Creates a "diagonal" tensor
diagmul.tensor	Multiplication of a tensor with a tensor given by its diagonal
dim<-.tensor	Getting and setting index and dimensionnames of a tensor
dimnames.tensor	Getting and setting index and dimensionnames of a tensor
dimnames<-.tensor	Getting and setting index and dimensionnames of a tensor
drag.tensor	Managing covariate and contravariate indices
einstein.tensor	Tensor multiplication with Einstein's convention, by summing over all equally named indices.
ftable.tensor	Pretty printing of tensors
inv.tensor	Inversion of a tensor as linear mapping from tensors to tensors
is.contravariate	Managing covariate and contravariate indices
is.contravariate.character	Managing covariate and contravariate indices
is.contravariate.numeric	Managing covariate and contravariate indices
is.contravariate.tensor	Managing covariate and contravariate indices
is.covariate	Managing covariate and contravariate indices
is.covariate.character	Managing covariate and contravariate indices
is.covariate.numeric	Managing covariate and contravariate indices
is.covariate.tensor	Managing covariate and contravariate indices
is.tensor	Checking for being a tensor
level.tensor	The level (number of indices) of a tensor
margin.tensor	Marginalization of tensors
mark	Marks the names of a tensor with a mark
mark.character	Marks the names of a tensor with a mark
mark.numeric	Marks the names of a tensor with a mark
mark.tensor	Marks the names of a tensor with a mark
mean.tensor	Mean and variance of tensors
mul.tensor	Tensor multiplication for the tensor class
names.tensor	Getting and setting index and dimensionnames of a tensor
names<-.tensor	Getting and setting index and dimensionnames of a tensor
norm	Calculate the Euclidean norm or Euclidean operator norm of a tensor or its subtensors
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
opnorm	Calculate the Euclidean norm or Euclidean operator norm of a tensor or its subtensors
opnorm.tensor	Calculate the Euclidean norm or Euclidean operator norm of a tensor or its subtensors
pos.tensor	enumeration of index combinations
power.tensor	Compute the power of a symmetric tensor
renamefirst.tensor	Working with index sequences
reorder.tensor	Permutation of indices and storage sequence of a tensor
rep.tensor	Repeats a tensor
riemann.tensor	Tensor multiplication with Riemann's convention
slice.tensor	Working with the indices of a tensor (accessing, slicing, renaming, ...)
solve.tensor	Solving linear equations with tensors
svd.tensor	Singular value decomposition of tensors
Tensor	The tensorA package for tensor arithmetic
tensor	The tensorA package for tensor arithmetic
tensorA	The tensorA package for tensor arithmetic
to.matrix.tensor	The matrix corresponding to a tensor seen as a linear mapping of tensors.
to.tensor	Creates a tensor object
to.tensor.default	Creates a tensor object
toPos.tensor	get the position of an index of tensor
trace.tensor	Collapse a tensor
tripledelta.tensor	A tensor with entry 1 if and only if three indices are equal
undrop.tensor	Adds a spurious dimension to a tensor
untensor	Removes indices/dimensions from a tensor
var.tensor	Mean and variance of tensors
[.tensor	Working with the indices of a tensor (accessing, slicing, renaming, ...)
[<-.tensor	Working with the indices of a tensor (accessing, slicing, renaming, ...)
[[.tensor	Working with the indices of a tensor (accessing, slicing, renaming, ...)
[[<-.tensor	Working with the indices of a tensor (accessing, slicing, renaming, ...)
^.tensor	Working with index sequences
|.tensor	Working with index sequences