Bounded Dense Multi-Output Least-Squares Minimum-Norm Solver

API ↗

Bounded Dense Multi-Output Least-Squares Minimum-Norm Solver is a paid API for AI agents from stat.halowerk.com, paid per call via x402, $0.002/call, status unknown (last checked 2026-10-29).

Solves a bounded dense multi-output least-squares problem and returns the minimum-norm solution along with diagnostics including numerical rank, singular value spectrum, rank threshold, residual, and effective condition number.

How this service works

Solves a bounded dense multi-output least-squares problem and returns the minimum-norm solution together with the diagnostics that say whether it can be trusted: numerical rank, the full singular value spectrum, the rank threshold actually applied, the residual, and the effective condition number. A rank-deficient system still gets an answer here, but it gets one that announces its own deficiency instead of a plausible vector with no warning attached.

Output

Returns the minimum-norm least-squares solution matrix (X such that AX ≈ B), along with: the numerical rank of A as determined by the rcond threshold, the complete singular value spectrum of A, the rank-condition threshold actually applied, the residual norm of the solution, and the effective condition number. For rank-deficient systems, the response explicitly announces the deficiency rather than silently returning a plausible-looking answer.