1973/12/01 by Carl D. Meyer · 1 citation
Computer Science · Mathematics · Engineering · #Matrix Theory and Algorithms #Mathematics and Applications #graph theory and CDMA systems #Mathematics #Inverse #Rank (graph theory) #Representation (politics) #Combinatorics #Block (permutation group theory) #Matrix (chemical analysis) #Generalized inverse #Block matrix #Pure mathematics #Geometry #Eigenvalues and eigenvectors
paper · doi:10.1137/0125057
openalex publication_date 1973/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2025/11/06
For a completely general partitioned matrix of the form M = [ *20c A · C
R · D ], a representation for (1)- and (1,2)-inverses of M is derived such that the known representations for some common partitioned matrices are special cases. The representation for a (1)-inverse of M is then used to obtain an expression for the rank of M in terms of ranks of matrices of lower order.