Conpseudosimilarity and consemisimilarity over a division ring

AbstractIt is shown that for n × n matrices over a division ring which is finite dimensional over its center, the notions of consimilarity, conpseudosimilarity and consemisimilarity are all equivalent, provided the conjugation is strong

Pseudo-consimilarity and semi-consimilarity of complex matrices

AbstractIt is shown that the notion of consimilarity of n-by-n complex matrices is equivalent to each of the new concepts of pseudo-consimilarity and semi-consimilarity. This equivalence is unlike similarity in that pseudo-similarity and similarity are equivalent, while semi-similarity is a weaker relation than (pseudo-) similarity

Integer generalized inverses of incidence matrices

AbstractGraphical procedures are used to characterize the integral {1}- and {1, 2}-inverses of the incidence matrix A of a digraph, and to obtain a basis for the space of matrices X such that AXA = 0. These graphical procedures also produce the Smith canonical form of A and a full rank factorization of A using matrices with entries from {-1, 0, 1}. It is also shown how the results on incidence matrices of oriented graphs can be used to find generalized inverses of matrices of unoriented bipartite graphs

Some classes of integral matrices

AbstractIntegral matrices A for which the system Ax=b will have an integral basic solution are considered. Results for these matrices are presented which parallel results concerning other matrices for which the system has integral solutions

Coseismic slip distribution of the February 27, 2010 Mw 8.8 Maule, Chile earthquake

International audienceStatic offsets produced by the February 27, 2010 Mw = 8.8 Maule, Chile earthquake as measured by GPS and InSAR constrain coseismic slip along a section of the Andean megathrust of dimensions 650 km (in length) × 180 km (in width). GPS data have been collected from both campaign and continuous sites sampling both the near-field and far field. ALOS/PALSAR data from several ascending and descending tracks constrain the near-field crustal deformation. Inversions of the geodetic data for distributed slip on the megathrust reveal a pronounced slip maximum of order 15 m at ∼15-25 km depth on the megathrust offshore Lloca, indicating that seismic slip was greatest north of the epicenter of the bilaterally propagating rupture. A secondary slip maximum appears at depth ∼25 km on the megathrust just west of Concepción. Coseismic slip is negligible below 35 km depth. Estimates of the seismic moment based on different datasets and modeling approaches vary from 1.8 to 2.6 × 1022 N m. Our study is the first to model the static displacement field using a layered spherical Earth model, allowing us to incorporate both near-field and far-field static displacements in a consistent manner. The obtained seismic moment of 1.97 × 1022 N m, corresponding to a moment magnitude of 8.8, is similar to that obtained by previous seismic and geodetic inversions