Lemonergy · Studio block

Create diagonal matrix

Places vector elements on a matrix diagonal and fills other entries with zero.

Implementation ID: native-diagonal-matrix
Reviewed: 2026-10-27

Behavior

Yᵢᵢ = uᵢ; Yᵢⱼ = 0 for i ≠ j. The worked example connects this operation to signals in Lemonergy Studio.

Interface

Original Lemonergy interface view. Lines identify ports; they are not a completed simulation circuit.

Ports and observed outputs
Name	Direction	Unit	Meaning
`in0`	input	1	Diagonal; real 2 array.
`out0`	output	1	Matrix; real 2 × 2 array.

Parameters

No configurable parameters for this component.

Equations and rules

Yᵢᵢ = uᵢ; Yᵢⱼ = 0 for i ≠ j

Worked example

Create diagonal matrix — worked example

Diagonal = [2,3]. Matrix at 0 s = [2,0,0,3].

Open Studio example after release →

Numerical checks for the bundled synthetic example
Output	Time (s)	Expected value	Unit	Absolute tolerance
Matrix `out0`	0	`[2, 0, 0, 3]`	1	1e-08

Explore the recorded outputs

Create diagonal matrix recorded example

Create diagonal matrix [1, 1]

Create diagonal matrix [1, 1]: 2 — 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

Create diagonal matrix — worked example

Places vector elements on a matrix diagonal and fills other entries with zero.

Create diagonal matrix: Yᵢᵢ = uᵢ; Yᵢⱼ = 0 for i ≠ j. 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.

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)