TY  - JOUR
AB  - Two real matrices A,B are S-congruent if there is a nonsingular upper triangular matrix R such that A = R^TBR. This congruence relation is studied in the set of all nonsingular symmetric and that of all skew-symmetric matrices. Invariants and systems of representation are give. The results are applied to the question of decomposability of a matrix in a product of an isometry and an upper triangular matrix, a problem crucial in eigenvalue algorithms.
DA  - 1979
DO  - 10.1016/0024-3795(79)90175-7
LA  - eng
IS  - Aug
M2  - 123
PY  - 1979
SN  - 0024-3795
SP  - 123-138
T2  - Linear algebra and its applications
TI  - On some algebraic problems in connection with general elgenvalue algorithms
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-17802776
Y2  - 2024-11-22T06:40:48
ER  -