A method of matrix diagonalization using Jacobi rotation matrices orthogonal similarity transformations of the form
each of which eliminates one off-diagonal element. Each application of
See also Jacobi Method ,
Jacobi Rotation Matrix Explore with Wolfram|Alpha References Gentle, J. E. "Givens Transformations (Rotations)." §3.2.5 in Numerical Linear Algebra for Applications in Statistics. Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. "Jacobi Transformation of a Symmetric Matrix." §11.1 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Referenced on Wolfram|Alpha Jacobi Transformation Cite this as: Weisstein, Eric W. "Jacobi Transformation." From MathWorld https://mathworld.wolfram.com/JacobiTransformation.html
Subject classifications 
. It consists of a sequence of orthogonal similarity transformations of the form 
affects only rows and columns of 
, and the sequence of such matrices is chosen so as to eliminate the off-diagonal elements. 