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],
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],
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"metadata": {
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"metadata": {
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"kernelspec": {
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"kernelspec": {
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"display_name": "Julia 1.9.0",
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"display_name": "Julia 1.9.1",
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"language": "julia",
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"language": "julia",
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"name": "julia-1.9"
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"name": "julia-1.9"
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},
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},
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"file_extension": ".jl",
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"file_extension": ".jl",
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"mimetype": "application/julia",
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"mimetype": "application/julia",
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"name": "julia",
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"name": "julia",
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"version": "1.9.0"
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"version": "1.9.1"
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}
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}
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},
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},
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"nbformat": 4,
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"nbformat": 4,
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"metadata": {},
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"metadata": {},
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"source": [
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"source": [
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"<div class=\"alert alert-block alert-info\">\n",
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"<div class=\"alert alert-block alert-info\">\n",
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"<b>Note:</b> The matrix-matrix multiplication naively implemented with 3 nested loops as above is known to be very inefficient (memory bound). Libraries such as BLAS provide much more efficient implementations, which are the ones used in practice (e.g., by the `*` operator in Julia). We consider, our hand-written implementation as a simple way of expressing the algorithm we are interested in.\n",
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"<b>Note:</b> The matrix-matrix multiplication naively implemented with 3 nested loops as above is known to be very inefficient (memory bound). Libraries such as BLAS provide much more efficient implementations, which are the ones used in practice (e.g., by the `*` operator in Julia). We consider our hand-written implementation as a simple way of expressing the algorithm we are interested in.\n",
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"</div>\n",
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"</div>\n",
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"\n",
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"\n",
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"Run the following cell to compare the performance of our hand-written function with respect to the built in function `mul!`\n"
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"Run the following cell to compare the performance of our hand-written function with respect to the built in function `mul!`.\n"
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]
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]
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},
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},
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{
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{
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4337
notebooks/pdes.ipynb
4337
notebooks/pdes.ipynb
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