lemonergy· battery engineering courses

Lemonergy · Studio block

Is Hermitian

Tests whether a square matrix equals its conjugate transpose within a tolerance.

Implementation ID
native-is-hermitian
Reviewed
2026-10-27

Behavior

Hermitian when A = Aᴴ within absolute tolerance. The worked example connects this operation to signals in Lemonergy Studio.

Interface

Is Hermitian interfaceInputs or arguments on the left, observed outputs on the right. Conserving terminals appear below the component. The tables give units and behavior.Is HermitianStudio blockin0out0
Original Lemonergy interface view. Lines identify ports; they are not a completed simulation circuit.
Ports and observed outputs
NameDirectionUnitMeaning
in0input1Matrix; complex 2 × 2 array.
out0output1Hermitian; bool scalar.

Parameters

Defaults are initial model values. Select values for your own model and operating conditions.

Configuration fields
ParameterUnitDefaultMeaning and limits
Absolute tolerance
params[0]		11e-12Configured finite numerical parameter.

Equations and rules

  • Hermitian when A = Aᴴ within absolute tolerance

Worked example

Is Hermitian — worked example

Matrix = [1,0,2,-3,2,3,4,0]. Hermitian at 0 s = 1.

Open Studio example after release →
Numerical checks for the bundled synthetic example
OutputTime (s)Expected valueUnitAbsolute tolerance
Hermitian
out0		0111e-08

Explore the recorded outputs

Is Hermitian recorded example

Is Hermitian
Is Hermitian against timeRecorded synthetic simulation values. Time in seconds; output in —.0.500.750.2510.51.250.751.51—Time (s)
Is Hermitian: 1 — 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

Is Hermitian — worked example

Tests whether a square matrix equals its conjugate transpose within a tolerance.

  1. Is Hermitian: Hermitian when A = Aᴴ within absolute tolerance. 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

  • 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)