SpatialMatrix

Published configurations

SpatialMatrix benchmarks separate arithmetic, contractions, products and matrix decompositions. Ordinary multiplication obeys \(C_{ij}=\sum_k A_{ik}B_{kj}\), without conjugation of complex operands. Right-conjugated scalar contractions are identified separately.

Representations and products

Spatial matrices are compared with bounded, dynamic and selected fixed Eigen matrices. Matched products multiply an \(r\times k\) matrix by a \(k\times r\) matrix. The separate matrix-product component covers the full three-extent sweep and mixed scalar orders.

Decompositions

Trace, determinant, inverse, solve and full-rank pseudoinverse cases retain their shape requirements. Full-pivot LU and complete orthogonal decomposition provide untimed references. Pseudoinverse comparators retain the same normal-equation algorithm inside timing.

Measurement contract

Owned-result cases include materialization and assignment. Destination cases use prepared disjoint storage and a distinct result lifecycle. Inputs and numerical references are excluded; outputs are checked before and after timing. Calling-thread CPU time is reported per sweep of one or thirty-two inputs; divide by the operations counter for time per matrix.

Benchmarks

Timing history

RodinMathSpatialMatrixBenchmarks · cpu_time · slow · ranks: 1