lemonergy· battery engineering courses

Lemonergy · Studio block

Matrix multiply

Multiplies two real matrices with compatible inner dimensions.

Implementation ID
native-matrix-multiply
Reviewed
2026-10-27

Behavior

Cᵢⱼ = Σₖ Aᵢₖ Bₖⱼ. The worked example connects this operation to signals in Lemonergy Studio.

Interface

Matrix multiply interfaceInputs or arguments on the left, observed outputs on the right. Conserving terminals appear below the component. The tables give units and behavior.Matrix multiplyStudio blockin0in1out0
Original Lemonergy interface view. Lines identify ports; they are not a completed simulation circuit.
Ports and observed outputs
NameDirectionUnitMeaning
in0input1A; real 2 × 2 array.
in1input1B; real 2 × 2 array.
out0output1Product; real 2 × 2 array.

Parameters

No configurable parameters for this component.

Equations and rules

  • Cᵢⱼ = Σₖ Aᵢₖ Bₖⱼ

Worked example

Matrix multiply — worked example

A = [1,3,2,4]; B = [5,7,6,8]. Product at 0 s = [19,43,22,50].

Open Studio example after release →
Numerical checks for the bundled synthetic example
OutputTime (s)Expected valueUnitAbsolute tolerance
Product
out0		0[19, 43, 22, 50]11e-08

Explore the recorded outputs

Matrix multiply recorded example

Matrix multiply [1, 1]
Matrix multiply [1, 1] against timeRecorded synthetic simulation values. Time in seconds; output in —.18.05018.5250.25190.519.4750.7519.951—Time (s)
Matrix multiply [1, 1]: 19 — at 0 s

2 actual recorded samples. Lines are visual guides between samples. Synthetic example, not measured cell data.

Download the recorded samples (JSON) · Open this Studio example after release

Use in a workflow

Matrix multiply — worked example

Multiplies two real matrices with compatible inner dimensions.

  1. Matrix multiply: Cᵢⱼ = Σₖ Aᵢₖ Bₖⱼ. The worked example connects this operation to signals in Lemonergy Studio.
    • Use the block reference for settings and connections.
    • Implementation tested locally; public release pending.
Open Studio example after release

Connected concepts

Limits and interpretation

  • Real 2-D column-major matrix multiplication with exact shape checks.
  • Shapes and element types are explicit. Values must be finite; automatic reshaping and unit conversion are not performed.

Scientific and mathematical references

These sources explain the scientific and mathematical background. The behavior, interface and limits above define the Lemonergy implementation; a citation does not imply every model option in the source is implemented.

  1. NIST Digital Library of Mathematical Functions, §3.2 Linear Algebra

    National Institute of Standards and Technology

    Technical reference · Linear algebra and matrix operations; conceptual background, not software certification.

Implementation sources

This reference follows the public interface and locally verified numerical checks for an upcoming release.

Contract: Lemonergy Studio public contract · Verification record: verification-2026-10-27

  • docs/glossary/native-block-verification.json

This implementation and its workflow uses (JSON) · Knowledge graph (JSON-LD)