Componentwise normwise
WebJul 31, 2006 · Backward errors and condition numbers are defined and evaluated for eigenvalues and eigenvectors of generalized eigenvalue problems. Both normwise and componentwise measures are used. Unstructured problems are considered first, and then the basic definitions are extended so that linear structure in the coefficient matrices (for … WebDec 1, 2024 · Wang et al. [37] studied the normwise, mixed and componentwise condition numbers for the following general nonlinear matrix equation X + A H F (X) A = Q, where A is an n-by-n square matrix, Q an n-by-n positive definite matrix, X the unknown n-by-n positive semi-definite matrix, and F a differentiable mapping from the set of n-by-n positive ...
Componentwise normwise
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WebThe tight upper bounds for the derived mixed and componentwise condition numbers are obtained, which can be estimated efficiently by means of the classical power method for … WebFreeBSD Manual Pages man apropos apropos
WebThe explicit expressions of normwise, mixed and componentwise condition numbers for the K-weighted pseudoinverse . L K † are first presented. With the intermediate result, … WebWe first survey componentwise and normwise perturbation bounds for the standard least squares (LS) and minimum norm problems. Then some recent ... where the inequalities are to be interpreted componentwise. Taking norms in (2.1) and using where (In is the smallest singular value of A, we obtain the approximate
WebWe derive normwise, mixed and componentwise condition numbers for these linear systems. Examples are given to evaluate the tightness of the first-order perturbation bounds. Keywords: Componentwise condition number Kronecker product linear system Mixed condition number Multiple right-handed sides Normwise condition number. Web#Mathematics Most Viewed Article in Fuzzy Set Theory "A New Decision-Making Approach Based on Fermatean Fuzzy Sets and WASPAS for Green Construction Supplier…
WebJul 1, 1987 · We present normwise and componentwise perturbation bounds for the LU, the Cholesky, the L D L T and the QR decompositions by using a new approach. The explicit expressions of mixed and componentwise condition numbers for these matrix decompositions are derived. The condition numbers improve known results of the …
WebSolving Block Low-Rank Linear Systems by LU Factorization is Numerically Stable Higham, Nicholas J. and Mary, Theo 2024 MIMS EPrint: 2024.15 Manchester Institute for Mathematical Sciences effect of suez canal in the philippinesWebSep 1, 2024 · The explicit expressions of normwise, mixed and componentwise condition numbers for the TRTLS problem are first presented. With the intermediate result, i.e. normwise condition number, we can recover the upper bound of TRTLS problem. To improve the computational efficiency in calculating the normwise condition number, a … container ship teu dimensionsWebMay 1, 2008 · For the two problems, Wang et al. [34] presented the normwise condition numbers. In addition, Cucker, Diao, Wei, and other authors also considered the mixed … effect of subsidy on producersWebIn this case, a normwise analysis may be more appropriate. Condition: The Geometry of Numerical Algorithms - Page xxvii (Peter Bürgisser) They range from a simple normwise … effect of sugar on bodyWebJul 31, 2006 · Both normwise and componentwise measures are used. Unstructured problems are considered first, and then the basic definitions are extended so that linear … effect of sub sale or pledge by buyerWebOct 1, 2015 · In this paper, we consider four different types of condition numbers, i.e., two normwise ones, mixed and componentwise ones, for the nonlinear matrix equation X + A ⋆ F (X) A = Q, and derive their explicit expressions.Using the probabilistic spectral norm estimator and the statistical condition estimation method, these condition numbers can … container ship that got stuckcontainer ship terms