All eigenvalues


Find all eigenvalues
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 = 35)

(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 = 37)

(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
After 9 iterations, current subproblem has converged

(9)

Find all eigenvalues
Matrix A after divide #1 (subproblems of order 96 and 104)

(10)

Find all eigenvalues
Matrix A after divide #2 (subproblems of order 53 and 51)

(11)

Find all eigenvalues
Matrix A after divide #3 (subproblems of order 28 and 23)

(12)

Find all eigenvalues
Matrix A after divide #4 (subproblems of order 12 and 11)

(13)

Find all eigenvalues
Matrix A after divide #5 (subproblems of order 4 and 7)

(14)

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

(15)

Find all eigenvalues
Matrix A after divide #7 (subproblems of order 48 and 48)

(16)

Find all eigenvalues
Matrix A after divide #8 (subproblems of order 26 and 22)

(17)

Find all eigenvalues
Matrix A after divide #9 (subproblems of order 13 and 13)

(18)

Find all eigenvalues
Matrix A after divide #10 (subproblems of order 6 and 7)

(19)

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

(20)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #12 (subproblem of order 7)

(21)

Find all eigenvalues
Matrix A after divide #13 (subproblems of order 7 and 6)

(22)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #14 (subproblem of order 7)

(23)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #15 (subproblem of order 6)

(24)

Find all eigenvalues
Matrix A after divide #16 (subproblems of order 11 and 11)

(25)

Find all eigenvalues
Matrix A after divide #17 (subproblems of order 5 and 6)

(26)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #18 (subproblem of order 5)

(27)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #19 (subproblem of order 6)

(28)

Find all eigenvalues
Matrix A after divide #20 (subproblems of order 6 and 5)

(29)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #21 (subproblem of order 6)

(30)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #22 (subproblem of order 5)

(31)

Find all eigenvalues
Matrix A after divide #23 (subproblems of order 23 and 25)

(32)

Find all eigenvalues
Matrix A after divide #24 (subproblems of order 12 and 11)

(33)

Find all eigenvalues
Matrix A after divide #25 (subproblems of order 5 and 7)

(34)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #26 (subproblem of order 5)

(35)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #27 (subproblem of order 7)

(36)

Find all eigenvalues
Matrix A after divide #28 (subproblems of order 6 and 5)

(37)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #29 (subproblem of order 6)

(38)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #30 (subproblem of order 5)

(39)

Find all eigenvalues
Matrix A after divide #31 (subproblems of order 13 and 12)

(40)

Find all eigenvalues
Matrix A after divide #32 (subproblems of order 6 and 7)

(41)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #33 (subproblem of order 6)

(42)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #34 (subproblem of order 7)

(43)

Find all eigenvalues
Matrix A after divide #35 (subproblems of order 7 and 5)

(44)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #36 (subproblem of order 7)

(45)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #37 (subproblem of order 5)

(46)

Find all eigenvalues
Matrix A after divide #38 (subproblems of order 25 and 28)

(47)

Find all eigenvalues
Matrix A after divide #39 (subproblems of order 13 and 15)

(48)

Find all eigenvalues
Matrix A after divide #40 (subproblems of order 7 and 8)

(49)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #41 (subproblem of order 8)

(50)

Find all eigenvalues
Matrix A after divide #42 (subproblems of order 12 and 13)

(51)

Find all eigenvalues
Matrix A after divide #43 (subproblems of order 7 and 6)

(52)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #44 (subproblem of order 6)

(53)

Find all eigenvalues
Matrix A after divide #45 (subproblems of order 7 and 5)

(54)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #46 (subproblem of order 5)

(55)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #47 (subproblem of order 7)

(56)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #48 (subproblem of order 7)

(57)

Find all eigenvalues
Matrix A after divide #49 (subproblems of order 8 and 5)

(58)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #50 (subproblem of order 5)

(59)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #51 (subproblem of order 8)

(60)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #52 (subproblem of order 7)

(61)

Find all eigenvalues
Matrix A after divide #53 (subproblems of order 13 and 15)

(62)

Find all eigenvalues
Matrix A after divide #54 (subproblems of order 7 and 8)

(63)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #55 (subproblem of order 8)

(64)

Find all eigenvalues
Matrix A after divide #56 (subproblems of order 6 and 7)

(65)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #57 (subproblem of order 7)

(66)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #58 (subproblem of order 6)

(67)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #59 (subproblem of order 7)

(68)

Find all eigenvalues
Matrix A after divide #60 (subproblems of order 6 and 6)

(69)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #61 (subproblem of order 6)

(70)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #62 (subproblem of order 6)

(71)

Subproblems smaller than 11 solved directly using LAPACK
Matrix A after divide #63 (subproblem of order 4)

(72)

All 200 eigenvalue(s) were found
Eigenvalues of A (order n = 200)

(73)