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Several “distances” between the spectra of two regular matrix pencils are discussed and compared. The relations obtained enable us to estimate upper bounds on one “distance” via known upper bounds on… Expand
We attempt to generalize a well-known result on spectral variations of a Hermitian matrix due to Mirsky to the definite generalized eigenvalue problem. We also point out that some results on… Expand
The transition from the behavior of a single dislocation interacting with a field of fixed obstacles to the collective motion of multiple dislocations is studied below the depinning transition… Expand
This note deals with the following problem: Let A be an n X n Hermitian matrix, and Q and 0 be two n X rn (n > m > 1) matrices both with orthonormal column vectors. How do the eigenvalues of the m X… Expand