Add AArch64-optimized SYMV kernels #5221
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This pull request adds [SD]SYMV kernels optimized for arm64.
Previously, generic/symv_k.c has been used on arm64 systems, in which the calculation falls back to using the GEMV kernels. This approach involves accessing each matrix element twice. To address this inefficiency, I’ve implemented new kernels by using a technique analogous to those employed in the x86_64 SYMV kernels.
As shown in the graphs below, performance is improved by about 2x on the A64FX, Graviton3E, Grace, and Ampere Altra Max platforms, respectively.
SYMV is an important component in symmetric matrix eigenvalue computations. Consequently, this PR yields performance improvements in higher-level routines such as DSYEVD. Specifically, the execution time of DSYTRD (tridiagonalization), which is the initial step within DSYEVD, is reduced as shown in the graph.