The inertia of an n × n matrix A is defined as the triple (i+(A), i−(A), i0(A)), where i+(A), i−(A), and i0(A) are the number of eigenvalues of A, counting multiplicities, w...
This paper explains why parallel implementation of matrix multiplication--a seemingly simple algorithm that can be expressed as one statement and three nested loops--is complex: P...
John A. Gunnels, Calvin Lin, Greg Morrow, Robert A...
The known fast sequential algorithms for multiplying two N N matrices (over an arbitrary ring) have time complexity ON , where 2 3. The current best value of is less than 2.3755....
Multiple sequence alignment (MSA) is a vital problem in biology. Optimal alignment of multiple sequences becomes impractical even for a modest number of sequences [1] since the gen...
Strassen’s matrix multiplication (MM) has benefits with respect to any (highly tuned) implementations of MM because Strassen’s reduces the total number of operations. Strasse...