Description
Add firstDiagonal to secondDiagonal for one Kronecker-sum diagonal entry.
Matrix-product entries are dot products of matching rows and columns. Trace and Rayleigh-quotient contributions require corresponding coordinates from the same underlying calculation.
Add firstDiagonal to secondDiagonal for one Kronecker-sum diagonal entry.
When to use this tool
Use Matrix Kronecker Sum Diagonal Entry when you need one explicit real matrix-product contribution.
How to use the tool and how it works
- Enter firstDiagonal, secondDiagonal. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read entry. Use the output convention below.
Add firstDiagonal to secondDiagonal for one Kronecker-sum diagonal entry.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| firstDiagonal | First Diagonal | Required. Finite number. |
| secondDiagonal | Second Diagonal | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| entry | Entry | Required. Finite number. |
{
"input": {
"firstDiagonal": 3,
"secondDiagonal": 4
},
"output": {
"entry": 7
}
}Limitations and assumptions
- The caller must supply matching factor-diagonal entries; tensor dimensions and off-diagonal structure are not constructed.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Validate complete shapes and coordinate correspondence before aggregating contributions or using a matrix library.
References
Similar or alternative tools
- Matrix Kron Entry Factor Index
Divide row by rightRows and column by rightColumns for left-factor indices; use the respective remainders for right-factor indices.
- Matrix Kronecker Delta Entry
Return one when nonnegative row equals column and zero otherwise.