[lkdvos]

Fixes two edge cases of mul! for StridedViews, found by the new backend test suite of TensorOperations.jl.

• Empty products: when the inner dimension has size zero, mul! now only scales C by β, and returns before the BLAS dispatch. Previously these went to BLAS, which fails for GPU arrays (cuBLAS does not accept the empty matrices).
• Strong zero β: if α == 0 or the inner dimension is empty, __mul! scaled C with rmul!(C, β), so a β = 0 kept NaNs that were already in C, e.g. from uninitialized memory. A zero β now overwrites C with zeros, as BLAS does. Both cases use a small _scale! helper.

Tests

• blasmultests.jl: C filled with NaN, and β = 0 with α zero or one, with an empty inner dimension, for identity and conj views.
• gpu.jl: an empty inner dimension.

blasmultests.jl and gpu.jl pass locally on JLArray and CuArray (3475 tests).

🤖 Generated with Claude Code

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.

Files with missing lines	Coverage Δ
src/linalg.jl	97.19% <100.00%> (+0.10%)	⬆️

🚀 New features to boost your workflow:

• ❄️ Test Analytics: Detect flaky tests, report on failures, and find test suite problems.