相容
发表于 2025-3-23 12:27:08
Fast Verification of Solutions for Sparse Monotone Matrix Equations,ne. Fast algorithms calculate a verified error bound for numerical solutions of the linear systems and a guaranteed condition number of the coefficient matrix. The proposed verification method is based on iterative solution methods and rounding mode controlled computations. Numerical results have al
tenuous
发表于 2025-3-23 15:13:16
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警告
发表于 2025-3-23 18:29:24
On the Rate of Convergence of the Levenberg-Marquardt Method,rom Rn into Rm. It is well-known that LMM has a quadratic rate of convergence when m = n, the Jacobian matrix of F is nonsingular at a solution x and an initial point is chosen sufficiently close to x. In this paper, we show that if
oblique
发表于 2025-3-23 23:34:42
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注入
发表于 2025-3-24 04:17:29
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雄辩
发表于 2025-3-24 08:45:07
Numerical Verifications of Solutions for Obstacle Problems,set of solutions which satisfies the hypothesis of Schauder’s fixed point theorem for compact map on a certain Sobolev space. Further, the conditions of verifiability by this method are considered and a numerical example is presented.
同步信息
发表于 2025-3-24 12:56:26
Inclusions and Existence Proofs for Solutions of a Nonlinear Boundary Value Problem by Spectral Numerical Methods,spectral two-grid procedure (combined with a numerical Mountain-Pass algorithm and a Newton iteration) is proposed. Furthermore, Emden’s equation is shown to admit completely spurious approximate solutions which nevertheless have “small” defects—a powerful argument for rigorous enclosure methods.
单调性
发表于 2025-3-24 18:52:27
On Linear Asynchronous Iterations when the Spectral Radius of the Modulus Matrix is One,er class of matrices for which the spectral radius of the modulus matrix is allowed to be equal to 1. The mild restrictions are virtually always fulfilled in practical implementations. In this manner, our result contributes to the better understanding of the different hypotheses underlying mathematical models for asynchronous iterations.
finite
发表于 2025-3-24 20:50:38
Aggregation/Disaggregation Methods for ,-cyclic Markov Chains,matrix considered algorithm. It should be noted that besides p-cyclicity the matrix under consideration may be quite general, in particular, hypotheses concerning spectral properties of the matrix examined and its powers such as reality of its spectrum etc. and consistent ordering of the matrix itself are not required.
斜
发表于 2025-3-25 02:41:14
A New Way to Describe the Symmetric Solution Set Ssym of Linear Interval Systems, elimination process has the advantage that it can be applied independently of any orthant. It yields directly to Beeck’s description for the general solution set S when it is applied to linear systems with any coefficient matrix A ∈ and any right-hand side b ∈ .