Eigenvalues in (-0.5,0.0]


Find eigenvalues in interval (-0.50, 0.00]
Original Matrix A of order n = 200

(0)

Reduce band back to tridiagonal whenever larger than 20
Current subproblem after reduction to tridiagonal form

(1)

Theoretical bandgrowth shown in red
Current subproblem after iteration #1 (band = 7)

(2)

Theoretical bandgrowth shown in red
Current subproblem after iteration #2 (band = 29)

(3)

Reduce band back to tridiagonal whenever larger than 20
Current subproblem after band reduction

(4)

Theoretical bandgrowth shown in red
Current subproblem after iteration #3 (band = 7)

(5)

Theoretical bandgrowth shown in red
Current subproblem after iteration #4 (band = 39)

(6)

Reduce band back to tridiagonal whenever larger than 20
Current subproblem after band reduction

(7)

Theoretical bandgrowth shown in red
Current subproblem after iteration #5 (band = 3)

(8)

Theoretical bandgrowth shown in red
Current subproblem after iteration #7 (band = 27)

(9)

Reduce band back to tridiagonal whenever larger than 20
Current subproblem after band reduction

(10)

Theoretical bandgrowth shown in red
Current subproblem after iteration #8 (band = 3)

(11)

Theoretical bandgrowth shown in red
Current subproblem after iteration #11 (band = 21)

(12)

Reduce band back to tridiagonal whenever larger than 20
Current subproblem after band reduction

(13)

Theoretical bandgrowth shown in red
Current subproblem after iteration #12 (band = 3)

(14)

Theoretical bandgrowth shown in red
After 19 iterations, current subproblem has converged

(15)

Find eigenvalues in interval (-0.50, 0.00]
Matrix A after divide #1 (subproblems of order 139 and 61)

(16)

Find eigenvalues in interval (-0.50, 0.00]
Matrix A after divide #2 (subproblems of order 96 and 43)

(17)

Find eigenvalues in interval (-0.50, 0.00]
Matrix A after divide #3 (subproblems of order 20 and 23)

(18)

Find eigenvalues in interval (-0.50, 0.00]
Matrix A after divide #4 (subproblems of order 12 and 11)

(19)

Find eigenvalues in interval (-0.50, 0.00]
Matrix A after divide #5 (subproblems of order 4 and 7)

(20)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #6 (subproblem of order 7)

(21)

Find eigenvalues in interval (-0.50, 0.00]
Matrix A after divide #7 (subproblems of order 11 and 9)

(22)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #8 (subproblem of order 9)

(23)

Find eigenvalues in interval (-0.50, 0.00]
Matrix A after divide #9 (subproblems of order 6 and 5)

(24)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #10 (subproblem of order 5)

(25)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #11 (subproblem of order 6)

(26)

Find eigenvalues in interval (-0.50, 0.00]
Matrix A after divide #12 (subproblems of order 6 and 6)

(27)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #13 (subproblem of order 6)

(28)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #14 (subproblem of order 6)

(29)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #15 (subproblem of order 4)

(30)

There were 43 eigenvalue(s) found in ( -0.50, 0.00]
Eigenvalues of A (order n = 200)

(31)