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Test Matrices for the Singular Value Decomposition Routines

Six different types of test matrices may be generated for the singular value decomposition routines. Table 2 shows the types available, along with the numbers used to refer to the matrix types. Except as noted, all matrix types other than the random bidiagonal matrices have $O(1)$ entries. The expression $U D V$ means a real diagonal matrix $D$ with $O(1)$ entries multiplied by unitary (or real orthogonal) matrices on the left and right.

Table 2: Test matrices for the singular value decomposition
  Singular Value Distribution
Type Arithmetic Other
Zero   1
Identity   2
Diagonal 3  
$U D V$ 4, 5\dag, 6\ddag  
\dag- matrix entries are $O(\sqrt{\mbox{overflow}})$
\ddag- matrix entries are $O(\sqrt{\mbox{underflow}})$


next up previous contents
Next: Input File for Testing Up: Tests for the ScaLAPACK Previous: Tests for the ScaLAPACK   Contents
Susan Blackford 2001-08-12