The determinant of the sum of two matrices
Chi-Kwong Li, Roy Mathias · Bulletin of the Australian Mathematical Society · 1995
Let A and B be n × n matrices over the real or complex field. Lower and upper bounds for |det(A + B)| are given in terms of the singular values of A and B. Extension of our techniques to estimate |f(A + B)| for other scalar-valued functions f on matrices is also considered.