Zobrazeno 1 - 10
of 135
pro vyhledávání: '"Tom Lyche"'
Publikováno v:
Journal of Approximation Theory. 289:105883
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd1362f555c3d039b3fd62f7b9dec869
https://doi.org/10.1016/j.jat.2023.105883
https://doi.org/10.1016/j.jat.2023.105883
In this paper, we address the problem of constructing $$C^2$$ C 2 cubic spline functions on a given arbitrary triangulation $${\mathcal {T}}$$ T . To this end, we endow every triangle of $${\mathcal {T}}$$ T with a Wang–Shi macro-structure. The $$C
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7ca8c9574825b452fb05ca058a18770
http://hdl.handle.net/10852/94529
http://hdl.handle.net/10852/94529
Autor:
Tom Lyche, Georg Muntingh
Publikováno v:
The SMAI journal of computational mathematics. :129-159
For spaces of constant, linear, and quadratic splines of maximal smoothness on the Powell–Sabin 12-split of a triangle, the so-called S-bases were recently introduced. These are simplex spline bases with B-spline-like properties on the 12-split of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5663f9121c78bb9d82be67aea418227
https://doi.org/10.5802/smai-jcm.56
https://doi.org/10.5802/smai-jcm.56
Publikováno v:
Numerical Linear Algebra and Matrix Factorizations ISBN: 9783030364670
Texts in Computational Science and Engineering ISBN: 9783030597887
Texts in Computational Science and Engineering ISBN: 9783030597887
In this chapter we first review Gaussian elimination. Gaussian elimination leads to an LU factorization of the coefficient matrix or more generally to a PLU factorization, if row interchanges are introduced. Here P is a permutation matrix, L is lower
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::624acf8f95819af790b5b2771ea9fee0
https://doi.org/10.1007/978-3-030-36468-7_3
https://doi.org/10.1007/978-3-030-36468-7_3
Publikováno v:
Texts in Computational Science and Engineering ISBN: 9783030597887
Texts in Computational Science and Engineering
Texts in Computational Science and Engineering
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0442cc1a6a62cef8cc9ca04ce48640a7
https://doi.org/10.1007/978-3-030-59789-4
https://doi.org/10.1007/978-3-030-59789-4
Publikováno v:
Numerical Linear Algebra and Matrix Factorizations ISBN: 9783030364670
Texts in Computational Science and Engineering ISBN: 9783030597887
Texts in Computational Science and Engineering ISBN: 9783030597887
The factorization is easily verified. Here \( \mathit\mathbf{U}=\mathit\mathbf{V}=\frac{1}{\sqrt{2}} \left[ \begin{array}{cc} 1 & 1 \\ 1 & -1 \end{array} \right], \)which is clearly unitary. Since in addition the matrix in the middle is diagonal, it
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66a57f0361b60281f75dc0b129ee5003
https://doi.org/10.1007/978-3-030-36468-7_7
https://doi.org/10.1007/978-3-030-36468-7_7
Publikováno v:
Texts in Computational Science and Engineering ISBN: 9783030597887
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9e2c0b189200c39d87dbba01a94aba8
https://doi.org/10.1007/978-3-030-59789-4_15
https://doi.org/10.1007/978-3-030-59789-4_15
Publikováno v:
Numerical Linear Algebra and Matrix Factorizations ISBN: 9783030364670
Texts in Computational Science and Engineering ISBN: 9783030597887
Texts in Computational Science and Engineering ISBN: 9783030597887
Matrices arising from 2D and 3D problems sometimes have a Kronecker product structure. Identifying a Kronecker structure can be very rewarding since it simplifies the derivation of properties of such matrices.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ad1ef00bbe71ef732f699ac4c2406dd
https://doi.org/10.1007/978-3-030-36468-7_10
https://doi.org/10.1007/978-3-030-36468-7_10
Publikováno v:
Numerical Linear Algebra and Matrix Factorizations ISBN: 9783030364670
Texts in Computational Science and Engineering ISBN: 9783030597887
Texts in Computational Science and Engineering ISBN: 9783030597887
Given a symmetric positive definite matrix \( \mathit\mathbf{A}\epsilon\mathbb{R}^{n \times n} \) with eigenvalues \( 0 < \lambda_{\mathit n} \leq \cdots \leq \lambda_{1} \).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::285daa89bc702643bcbdb676ea4444cc
https://doi.org/10.1007/978-3-030-36468-7_8
https://doi.org/10.1007/978-3-030-36468-7_8
Autor:
Tom Lyche
Publikováno v:
Numerical Linear Algebra and Matrix Factorizations ISBN: 9783030364670
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a6915b7757e653ac677007468f9ea11
https://doi.org/10.1007/978-3-030-36468-7_16
https://doi.org/10.1007/978-3-030-36468-7_16