Next: Test Matrices for the Up: Testing the Symmetric Eigenvalue Previous: The Symmetric Eigenvalue Drivers   Contents

Test Matrices for the Symmetric Eigenvalue Routines

Except for the banded matrices, twenty-one different types of test matrices may be generated for the symmetric eigenvalue routines. Table 8 shows the types available, along with the numbers used to refer to the matrix types. Except as noted, all matrices have 124#124 entries. The expression 281#281 means a real diagonal matrix 282#282 with 124#124 entries conjugated by a unitary (or real orthogonal) matrix 132#132. The eigenvalue distributions have the same meanings as in the nonsymmetric case (see Section 7.3.2).

For banded matrices, fifteen different types of test matrices may be generated. These fifteen test matrices are the same as the first fifteen test matrices in Table 8.

Table 8: Test matrices for the symmetric eigenvalue problem
 Eigenvalue Distribution Type Arithmetic Geometric Clustered Other Zero 1 Identity 2 Diagonal 3 4, 626#26, 7126#126 5 281#281 8, 1126#26, 12126#126, 9, 17175#175 10, 18175#175 16175#175, 19283#283, 20284#284 Symmetric w/Random entries 13, 1426#26, 15126#126 Diag. Dominant 21 26#26- matrix entries are 129#129 126#126- matrix entries are 130#130 285#285 - diagonal entries are positive 283#283 - matrix entries are 129#129 and diagonal entries are positive 175#175 - matrix entries are 130#130 and diagonal entries are positive

Next: Test Matrices for the Up: Testing the Symmetric Eigenvalue Previous: The Symmetric Eigenvalue Drivers   Contents
Susan Blackford 2001-08-13