[Merged by Bors] - refactor(LinearAlgebra/QuadraticForm): Replace BilinForm with a scalar valued bi LinearMap
#10238
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Here are the benchmark results for commit 1fe7c06. Benchmark Metric Change
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+ ~Mathlib.LinearAlgebra.CliffordAlgebra.BaseChange instructions -14.2%
- ~Mathlib.LinearAlgebra.QuadraticForm.Basic instructions 30.0%
- ~Mathlib.LinearAlgebra.QuadraticForm.TensorProduct instructions 57.9%
+ ~Mathlib.LinearAlgebra.QuadraticForm.TensorProduct.Isometries instructions -12.5% |
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…lar valued bi `LinearMap` (#10238) Following on from #10097, which converted the companion of a quadratic form with a bilinear map, this PR replaces a number of results about quadratic forms and bilinear forms with results about quadratic forms and scalar valued bilinear maps. The long term aim is to be able to consider quadratic maps. The main change is to `LinearAlgebra/QuadraticForm/Basic`, but this necessitates changes throughout `LinearAlgebra/QuadraticForm/`. Minor changes are also required elsewhere: - `LinearAlgebra/CliffordAlgebra/` - `LinearAlgebra/Matrix/PosDef` - `LinearAlgebra/SesquilinearForm` - A number of additional results about tensor products and linear maps are also required. Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Christopher Hoskin <christopher.hoskin@overleaf.com>
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BilinForm with a scalar valued bi LinearMapBilinForm with a scalar valued bi LinearMap
riccardobrasca
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…lar valued bi `LinearMap` (#10238) Following on from #10097, which converted the companion of a quadratic form with a bilinear map, this PR replaces a number of results about quadratic forms and bilinear forms with results about quadratic forms and scalar valued bilinear maps. The long term aim is to be able to consider quadratic maps. The main change is to `LinearAlgebra/QuadraticForm/Basic`, but this necessitates changes throughout `LinearAlgebra/QuadraticForm/`. Minor changes are also required elsewhere: - `LinearAlgebra/CliffordAlgebra/` - `LinearAlgebra/Matrix/PosDef` - `LinearAlgebra/SesquilinearForm` - A number of additional results about tensor products and linear maps are also required. Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Christopher Hoskin <christopher.hoskin@overleaf.com>
dagurtomas
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…lar valued bi `LinearMap` (#10238) Following on from #10097, which converted the companion of a quadratic form with a bilinear map, this PR replaces a number of results about quadratic forms and bilinear forms with results about quadratic forms and scalar valued bilinear maps. The long term aim is to be able to consider quadratic maps. The main change is to `LinearAlgebra/QuadraticForm/Basic`, but this necessitates changes throughout `LinearAlgebra/QuadraticForm/`. Minor changes are also required elsewhere: - `LinearAlgebra/CliffordAlgebra/` - `LinearAlgebra/Matrix/PosDef` - `LinearAlgebra/SesquilinearForm` - A number of additional results about tensor products and linear maps are also required. Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Christopher Hoskin <christopher.hoskin@overleaf.com>
Louddy
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Apr 15, 2024
…lar valued bi `LinearMap` (#10238) Following on from #10097, which converted the companion of a quadratic form with a bilinear map, this PR replaces a number of results about quadratic forms and bilinear forms with results about quadratic forms and scalar valued bilinear maps. The long term aim is to be able to consider quadratic maps. The main change is to `LinearAlgebra/QuadraticForm/Basic`, but this necessitates changes throughout `LinearAlgebra/QuadraticForm/`. Minor changes are also required elsewhere: - `LinearAlgebra/CliffordAlgebra/` - `LinearAlgebra/Matrix/PosDef` - `LinearAlgebra/SesquilinearForm` - A number of additional results about tensor products and linear maps are also required. Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Christopher Hoskin <christopher.hoskin@overleaf.com>
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Following on from #10097, which converted the companion of a quadratic form with a bilinear map, this PR replaces a number of results about quadratic forms and bilinear forms with results about quadratic forms and scalar valued bilinear maps. The long term aim is to be able to consider quadratic maps.
The main change is to
LinearAlgebra/QuadraticForm/Basic, but this necessitates changes throughoutLinearAlgebra/QuadraticForm/. Minor changes are also required elsewhere:LinearAlgebra/CliffordAlgebra/LinearAlgebra/Matrix/PosDefLinearAlgebra/SesquilinearForm