Module backend 

Backend abstraction for linear algebra operations.

This module provides both the slice-level LinalgBackend trait (used internally by the CPU provider) and the tensor-level TensorLinalgBackend trait (the public backend boundary).

CPU provider selection

Exactly one of the following features must be enabled:

• linalg-faer: Pure-Rust via faer (default)
• linalg-lapack: LAPACK + CBLAS backend with provider selection (provider-src or provider-inject)

Enabling both or neither is a compile error.

Device backends

• CPU: CpuTensorLinalgBackend with tenferro_prims::CpuContext
• CUDA: CudaTensorLinalgBackend with tenferro_prims::CudaContext (stub)
• HIP: HipTensorLinalgBackend with tenferro_prims::RocmContext (stub)

Examples

use tenferro_linalg::backend::{TensorLinalgBackend, CpuTensorLinalgBackend};
use tenferro_tensor::Tensor;

let mut ctx = tenferro_prims::CpuContext::new(1);
let a: Tensor<f64> = todo!();
let b: Tensor<f64> = todo!();
let _x = <CpuTensorLinalgBackend as TensorLinalgBackend<f64>>::solve(&mut ctx, &a, &b).unwrap();

Modules

tensor_api

Tensor-level backend trait and result types for linalg decompositions.

tensor_context

Context-to-backend bridge trait for tensor linalg operations.

Structs

CpuTensorLinalgBackend

Marker type for the CPU tensor linalg backend.

CudaTensorLinalgBackend

Marker type for the CUDA tensor linalg backend.

EigTensorResult

Result of a tensor-level general eigendecomposition.

EigenTensorResult

Result of a tensor-level Hermitian eigendecomposition.

FaerBackend

Pure-Rust linear algebra backend powered by faer.

HipTensorLinalgBackend

Marker type for the HIP tensor linalg backend.

LuTensorResult

Result of a tensor-level LU factorization.

QrTensorResult

Result of a tensor-level QR decomposition.

SvdTensorResult

Result of a tensor-level thin SVD.

Enums

LinalgCapabilityOp

Backend-facing tensor linalg protocol.

Traits

LinalgBackend

Slice-level backend interface for matrix linear algebra operations.

TensorLinalgBackend

TensorLinalgContextFor

Maps a context type to its tensor-level linalg backend.