[T, B] = bdschur(A)
[T, B] = bdschur(A, CONDMAX)
| Parameter | Description |
|---|---|
| A | Square real matrix. |
| CONDMAX | upper bound on the condition number of T. By default, CONDMAX = 1e4. |
| Parameter | Description |
|---|---|
| T | Transformation matrix. |
| B | B = T \ A * T |
[T, B] = bdschur(A, CONDMAX) calculates a transformation matrix T, where B = T \ A * T results in a block diagonal matrix with each block being a quasi upper-triangular Schur matrix, ensuring the diagonalization of matrix A while preserving certain structural properties.
A = [1. -1. 1. 2. 3. 1. 2. 3.;
1. 1. 3. 4. 2. 3. 4. 2.;
0. 0. 1. -1. 1. 5. 4. 1.;
0. 0. 0. 1. -1. 3. 1. 2.;
0. 0. 0. 1. 1. 2. 3. -1.;
0. 0. 0. 0. 0. 1. 5. 1.;
0. 0. 0. 0. 0. 0. 0.99999999 -0.99999999;
0. 0. 0. 0. 0. 0. 0.99999999 0.99999999];
[T, B] = bdschur(A)| Version | Description |
|---|---|
| 1.0.0 | initial version |