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Design directive: exploit NeuronCore architecture, don't just port scipy

documentationImprovements or additions to documentationImprovements or additions to documentation

phase-3-perfRoadmap: phase-3-perfRoadmap: phase-3-perf

Status: Open.

#36 In trnsci/trnsolver;

· scttfrdmn opened on Apr 13, 2026

·  

v0.5.0

Incomplete Cholesky (IC0) preconditioner for CG

iterativeCG / GMRES iterative solversCG / GMRES iterative solvers

phase-3-perfRoadmap: phase-3-perfRoadmap: phase-3-perf

Status: Open.

#35 In trnsci/trnsolver;

· scttfrdmn opened on Apr 13, 2026

·  

v0.5.0

NEFF compile-cache reuse in examples and benchmarks

benchmarkPerformance benchmarks and profilingPerformance benchmarks and profiling

ciCI/CD, GitHub Actions, publishingCI/CD, GitHub Actions, publishing

phase-3-perfRoadmap: phase-3-perfRoadmap: phase-3-perf

Status: Open.

#34 In trnsci/trnsolver;

· scttfrdmn opened on Apr 13, 2026

·  

v0.5.0

Kahan / Neumaier compensated summation in CG / GMRES

iterativeCG / GMRES iterative solversCG / GMRES iterative solvers

phase-2-precisionRoadmap: phase-2-precisionRoadmap: phase-2-precision

Status: Open.

#33 In trnsci/trnsolver;

· scttfrdmn opened on Apr 13, 2026

·  

v0.5.0

solve_spd(iterative_refinement=True) option

factorCholesky / LU / QR / direct solversCholesky / LU / QR / direct solvers

phase-2-precisionRoadmap: phase-2-precisionRoadmap: phase-2-precision

Status: Open.

#32 In trnsci/trnsolver;

· scttfrdmn opened on Apr 13, 2026

·  

v0.5.0

eigh_refined: iterative refinement on FP32 Jacobi

eigenEigensolvers (Jacobi, generalized)Eigensolvers (Jacobi, generalized)

phase-2-precisionRoadmap: phase-2-precisionRoadmap: phase-2-precision

Status: Open.

#31 In trnsci/trnsolver;

· scttfrdmn opened on Apr 13, 2026

·  

v0.5.0

Phase 5 — trn2 rotation-block tuning for Jacobi sweeps

phase-5-generationRoadmap: phase-5-generationRoadmap: phase-5-generation

Status: Open.

#30 In trnsci/trnsolver;

· scttfrdmn opened on Apr 13, 2026

Phase 4 — parallel Jacobi sweeps across NeuronCores

phase-4-multichipRoadmap: phase-4-multichipRoadmap: phase-4-multichip

Status: Open.

#29 In trnsci/trnsolver;

· scttfrdmn opened on Apr 13, 2026

Phase 3 — preconditioned iterative solvers + NEFF cache reuse

phase-3-perfRoadmap: phase-3-perfRoadmap: phase-3-perf

Status: Open.

#28 In trnsci/trnsolver;

· scttfrdmn opened on Apr 13, 2026

Phase 2 — iterative refinement + Newton-Schulz variants

phase-2-precisionRoadmap: phase-2-precisionRoadmap: phase-2-precision

Status: Open.

#27 In trnsci/trnsolver;

· scttfrdmn opened on Apr 13, 2026

Phase 1 — eigh NKI kernel validated on hardware (Householder-QR)

phase-1-correctnessRoadmap: phase-1-correctnessRoadmap: phase-1-correctness

Status: Open.

#26 In trnsci/trnsolver;

· scttfrdmn opened on Apr 13, 2026

Newton-Schulz inv_sqrt_spd: NKI GEMM backend swap

factorCholesky / LU / QR / direct solversCholesky / LU / QR / direct solvers

nkiNKI kernel development (Trainium hardware)NKI kernel development (Trainium hardware)

phase-3-perfRoadmap: phase-3-perfRoadmap: phase-3-perf

Status: Open.

#25 In trnsci/trnsolver;

· scttfrdmn opened on Apr 13, 2026

·  

v0.5.0