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SIAMMAX
2011
180views more  SIAMMAX 2011»
15 years 1 months ago
Computing Characteristic Polynomials from Eigenvalues
Abstract. This paper concerns the computation of the coefficients ck of the characteristic polynomial of a real or complex matrix A. We analyze the forward error in the coefficient...
Rizwana Rehman, Ilse C. F. Ipsen
SIAMNUM
2011
144views more  SIAMNUM 2011»
15 years 1 months ago
Continuous Mesh Framework Part II: Validations and Applications
This paper gives a numerical validation of the continuous mesh framework introduced in Part I [23]. We numerically show that the interpolation error can be evaluated analytically o...
Adrien Loseille, Frédéric Alauzet
SIAMNUM
2011
154views more  SIAMNUM 2011»
15 years 1 months ago
Continuous Mesh Framework Part I: Well-Posed Continuous Interpolation Error
In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density and stretching of anisotropic meshes. But, such structures are only con...
Adrien Loseille, Frédéric Alauzet
SIAMSC
2011
177views more  SIAMSC 2011»
15 years 1 months ago
Computing f(A)b via Least Squares Polynomial Approximations
Given a certain function f, various methods have been proposed in the past for addressing the important problem of computing the matrix-vector product f(A)b without explicitly comp...
Jie Chen, Mihai Anitescu, Yousef Saad
SIAMSC
2011
151views more  SIAMSC 2011»
15 years 1 months ago
Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity
The classical inexact Newton algorithm is an efficient and popular technique for solving large sparse nonlinear system of equations. When the nonlinearities in the system are wellb...
Xiao-Chuan Cai, Xuefeng Li