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/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/intro/tomo.ipynb:699: WARNING: File not found: 'api/abc.html#pyxu.abc.DiffMap.estimate_diff_lipschitz' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/intro/tomo.ipynb:914: WARNING: File not found: 'api/abc.html#pyxu.abc.ProxDiffFunc' -/opt/hostedtoolcache/Python/3.12.6/x64/lib/python3.12/site-packages/pyxu/opt/solver/pds.py:docstring of pyxu.opt.solver.pds.ADMM:152: WARNING: Exception occurred in plotting opt-solver-3 - from /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/api/opt.solver.rst: -Traceback (most recent call last): - File "/opt/hostedtoolcache/Python/3.12.6/x64/lib/python3.12/site-packages/matplotlib/sphinxext/plot_directive.py", line 552, in _run_code - exec(code, ns) - File "", line 29, in -TypeError: SquaredL2Norm.__init__() got an unexpected keyword argument 'dim' -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/examples/contributing.ipynb:42: WARNING: invalid syntax (, line 5) in document 'examples/contributing' -Parsed source in `python` block: -concatenations: try: - from pyxu.opt.solver import GradientDescent -except ImportError as e: - print(e) -block source: !pip install pyxu-gradient-descent -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/examples/deblur.ipynb:278: WARNING: File not found: 'api/opt.solver.html#pyxu.opt.solver.PD3O' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/fair/plugins_preview/index.rst:1118: WARNING: toctree contains reference to nonexisting document 'fair/plugins_preview/TokemakRec' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/fair/score.rst:29: WARNING: Bullet list ends without a blank line; unexpected unindent. /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/algebra.ipynb:32: WARNING: File not found: 'api/abc.html#pyxu.abc.Map.apply' @@ -198,6 +183,21 @@ Hands-On Example 🎓 /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/lipschitz.ipynb:51: WARNING: File not found: 'api/abc.html#pyxu.abc.LinOp' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/lipschitz.ipynb:285: WARNING: File not found: 'api/index.html' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/lipschitz.ipynb:285: WARNING: File not found: 'api/abc/arithmetic.html' +/opt/hostedtoolcache/Python/3.12.6/x64/lib/python3.12/site-packages/pyxu/opt/solver/pds.py:docstring of pyxu.opt.solver.pds.ADMM:152: WARNING: Exception occurred in plotting opt-solver-3 + from /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/api/opt.solver.rst: +Traceback (most recent call last): + File "/opt/hostedtoolcache/Python/3.12.6/x64/lib/python3.12/site-packages/matplotlib/sphinxext/plot_directive.py", line 552, in _run_code + exec(code, ns) + File "", line 29, in +TypeError: SquaredL2Norm.__init__() got an unexpected keyword argument 'dim' +/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/examples/contributing.ipynb:42: WARNING: invalid syntax (, line 5) in document 'examples/contributing' +Parsed source in `python` block: +concatenations: try: + from pyxu.opt.solver import GradientDescent +except ImportError as e: + print(e) +block source: !pip install pyxu-gradient-descent +/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/examples/deblur.ipynb:278: WARNING: File not found: 'api/opt.solver.html#pyxu.opt.solver.PD3O' WARNING: missing attribute to_sciop in object pyxu.abc.LinOp /opt/hostedtoolcache/Python/3.12.6/x64/lib/python3.12/site-packages/pyxu/abc/operator.py:docstring of pyxu.abc.operator.LinOp.asarray:8: WARNING: Inline emphasis start-string without end-string. /opt/hostedtoolcache/Python/3.12.6/x64/lib/python3.12/site-packages/pyxu/abc/operator.py:docstring of pyxu.abc.operator.LinOp.asarray:8: WARNING: Inline emphasis start-string without end-string. diff --git a/guide/diff_ops.html b/guide/diff_ops.html index 911c3ca5..b780ed9c 100644 --- a/guide/diff_ops.html +++ b/guide/diff_ops.html @@ -292,7 +292,7 @@

Partial Derivatives \[\mathbf{D} f [n] = f[n+1] - f[n]\]

As we will see below, this is the forward finite difference approximation. This could be implemented in matrix-form, in which case it would look like this:

-

8baeaae765d845f783a501a3710b9b57

+

bafcfd3722bb48ec8ce8bf502948d2d1

Or, it could be instead implemented via a for loop, in which the case of large input signals, would not require storing a large matrix:

[1]:
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