feat: add Nx.LinAlg.eig#1642

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polvalente wants to merge 14 commits intomainfrom

Commits on Nov 3, 2025

feat: Add Nx.LinAlg.eig infrastructure with placeholder implementation
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feat: Implement full eigenvector computation with Gram-Schmidt orthogonalization
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Fix eig zero eigenvalue bug by disabling balancing
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Fix balancing function reshape bug
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Nx.LinAlg: eig fallback triangular fast paths; fix lower-tri loop state; harden pinv for zero singular values; remove test debug prints
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EXLA tests: move eig tests to nx_linalg_test.exs (module EXLA.NxLinAlgTest)
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Nx: eig fallback tweaks for Torchx compatibility (complex-safe iota, Householder phase); restore Hermitian eigh fast path. Nx.Backend: mark eig/3 optional. Torchx: use local Nx path for tests; add …
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feat: add torchx implementation
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