Optimal quotients for solving large eigenvalue problems
نویسندگان
چکیده
منابع مشابه
Solving Overdetermined Eigenvalue Problems
We propose a new interpretation of the generalized overdetermined eigenvalue problem (A− λB)v ≈ 0 for two m × n (m > n) matrices A and B, its stability analysis, and an efficient algorithm for solving it. Usually, the matrix pencil {A− λB} does not have any rank deficient member. Therefore we aim to compute λ for which A − λB is as close as possible to rank deficient; i.e., we search for λ that...
متن کاملSolving Large-Scale Eigenvalue Problems on Vector Parallel Processors
We consider the development and implementation of eigen-solvers on distributed memory parallel arrays of vector processors and show that the concomitant requirements for vectorization and paralleliza-tion lead both to novel algorithms and novel implementation techniques. Performance results are given for several large-scale applications and some performance comparisons made with LAPACK and ScaL...
متن کاملSolving Large-scale Eigenvalue Problems in SciDAC Applications
Large-scale eigenvalue problems arise in a number of DOE applications. This paper provides an ovcrvicw of thc recent dcvclopriicrit of cigciivaluc computation in the coritcxt of two SciDAC applications. We emphasize the importance of Krylov suhspace methods, and point out its limitations. M7e discuss the value of alternative approaches that are more amenable to the use of prcconditioncrs, arid ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: BIT Numerical Mathematics
سال: 2018
ISSN: 0006-3835,1572-9125
DOI: 10.1007/s10543-018-0725-x