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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Regional inequality in China during its rise as a giant exporter: A value chain analysis
中国 出口大国 区域不平等 价值链分析
2023/4/27
Branch and Bound Algorithm for Computing the Minimum Stability Degree of Parameter-Dependent Linear Systems
Branch Bound Algorithm Computing Minimum Stability Degree Parameter-Dependent Linear Systems
2015/7/13
We consider linear systems with unspecified parameters that lie between given upper and lower bounds. Except for a few special cases, the computation of many quantities of interest for such systems ca...
A Class of Lyapunov Functionals for Analyzing Hybrid Dynamical Systems
Lyapunov Functionals Analyzing Hybrid Dynamical Systems
2015/7/10
In this paper, we introduce a new class of Lyapunov functionals for analyzing hybrid dynamical systems. This class can be thought of as a generalization of the Lyapunov functional introduced by Yakubo...
A Decomposition Approach to Distributed Analysis of Networked Systems
Decomposition Approach Distributed Analysis Networked Systems
2015/7/10
We present a simple distributed algorithm for analyzing well-posedness and stability of a system composed of different sub-units, interconnected over an arbitrary graph. The procedure consists in solv...
MINRES-QLP: A KRYLOV SUBSPACE METHOD FOR INDEFINITE OR SINGULAR SYMMETRIC SYSTEMS
MINRES Krylov subspace method Lanczos process
2015/7/3
CG, SYMMLQ, and MINRES are Krylov subspace methods for solving symmetric
systems of linear equations. When these methods are applied to an incompatible system (that is,
a singular symmetric least-sq...
LSRN: A PARALLEL ITERATIVE SOLVER FOR STRONGLY OVER- OR UNDERDETERMINED SYSTEMS
linear least squares overdetermined system
2015/7/3
We describe a parallel iterative least squares solver named LSRN that is based on
random normal projection. LSRN computes the min-length solution to minx∈Rn Ax − b2, where
A ∈ Rm×n with m n ...
ON THE STABILITY OF CHOLESKY FACTORIZATION FOR SYMMETRIC QUASIDEFINITE SYSTEMS*
indefinite systems symmetric quasidefinite (sqd) systems
2015/7/3
Sparse linear equations Kd r are considered, where K is a specially structured
symmetric indefinite matrix that arises in numerical optimization and elsewhere. Under certain
conditions, K is quaside...
SOLUTION OF SPARSE RECTANGULAR SYSTEMS USING LSQR AND CRAIG
Conjugate-gradient method least squares regularization
2015/7/3
Various methods for symmetric and unsymmetric systems are reviewed to illustrate
the parallels . We see that the extension of Craig's method closes a gap in existing
theory. However, LSQR is more ec...