CALCULATOR
Diagonal 3×3 Largest Singular Value Calculator
Diagonal 3×3 Largest Singular Value Calculator — change the supplied values to calculate diagonal 3×3 largest singular value.
Only diagonal real 3×3 matrices; one largest singular value, not a full SVD.
Accepted inputs: A: -100 to 100 number; B: -100 to 100 number; C: -100 to 100 number.
How the calculation works
σmax(diag(a,b,c))=max(|a|,|b|,|c|)
DᵀD is diagonal with entries a²,b²,c²; square roots of its eigenvalues are the singular values.
Worked example
With a -3 number, b 4 number, c 2 number, diagonal 3×3 largest singular value is 4 number.
Assumptions and limits
Only diagonal real 3×3 matrices; one largest singular value, not a full SVD.