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A library for easy and efficient manipulation of tensor networks.

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Hi, The test `test_randn_non_zero_imag` in `tensornetwork/backends/symmetric/symmetric_backend_test.py` [link](https://github.com/google/TensorNetwork/blob/d87ee43b0b9fe589e15d53795f102aa8e7370eb5/tensornetwork/backends/symmetric/symmetric_backend_test.py#L480) always fails when the seeds are removed. The test only fails for parameters: `[2-complex64-2]` and `[2-complex128-2]`, but passes for all other parameters. In...

Added pinv to tensorflow_backend.py and corresponding tests to tensorflow_backend_tests,py Issue: https://github.com/google/TensorNetwork/issues/844

cla: yes

We should support the Cholesky decomposition per https://numpy.org/doc/stable/reference/generated/numpy.linalg.cholesky.html#numpy.linalg.cholesky, adding a pivot argument in the same way as qr and svd.

enhancement
good first issue

I had a added a method in initialization.py for orthogonalization of tensors,how do I verify that my changes are not hindering with existing codebase

Resolved #852 . Cholesky decomposition added to both decompositions.py and decompositions_test.py of the numpy module. Further, it was added to decompositions.py and decompositions_test.py of tensorflow module.

cla: yes

created a new method in tensornetwork/linalg/initialization.py for initializing a random tensor with entries distributed according to normal distribution and performing QR Decomposition on it and returning the tensor Q so...

cla: yes

## description fix typo spelling grammar, and replace to correct words with reference from [merriam webster](merriam-webster.com) ## testing testing not include because just replace typos to correct one

cla: yes

In numpy, this can be acheived with *.npy or *.npz extension. Just wonder, given all supported backends in TensorNetwork, is there a unified way to save a bunch of tensors...

enhancement
help wanted

Initialization of orthogonal tensors with respect to a pivot

enhancement
good first issue