Mercurial > octave-nkf
comparison doc/interpreter/sparse.txi @ 11573:6f8ffe2c6f76
Grammarcheck txi files for 3.4 release.
author | Rik <octave@nomad.inbox5.com> |
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date | Wed, 19 Jan 2011 20:29:11 -0800 |
parents | fd0a3ac60b0e |
children | 1577c6f80926 |
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11572:7d6d8c1e471f | 11573:6f8ffe2c6f76 |
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779 @end enumerate | 779 @end enumerate |
780 | 780 |
781 @item If the matrix is upper or lower triangular perform a sparse forward | 781 @item If the matrix is upper or lower triangular perform a sparse forward |
782 or backward substitution, and goto 8 | 782 or backward substitution, and goto 8 |
783 | 783 |
784 @item If the matrix is a upper triangular matrix with column permutations | 784 @item If the matrix is an upper triangular matrix with column permutations |
785 or lower triangular matrix with row permutations, perform a sparse forward | 785 or lower triangular matrix with row permutations, perform a sparse forward |
786 or backward substitution, and goto 8 | 786 or backward substitution, and goto 8 |
787 | 787 |
788 @item If the matrix is square, Hermitian with a real positive diagonal, attempt | 788 @item If the matrix is square, Hermitian with a real positive diagonal, attempt |
789 sparse Cholesky factorization using @sc{cholmod}. | 789 sparse Cholesky factorization using @sc{cholmod}. |
931 @ifnottex | 931 @ifnottex |
932 Omega | 932 Omega |
933 @end ifnottex | 933 @end ifnottex |
934 into simplexes (triangles in 2D, pyramids in 3D). | 934 into simplexes (triangles in 2D, pyramids in 3D). |
935 @ifset htmltex | 935 @ifset htmltex |
936 We take as an 3D example a cylindrical liquid filled tank with a small | 936 We take as a 3-D example a cylindrical liquid filled tank with a small |
937 non-conductive ball from the EIDORS project@footnote{EIDORS - Electrical | 937 non-conductive ball from the EIDORS project@footnote{EIDORS - Electrical |
938 Impedance Tomography and Diffuse optical Tomography Reconstruction Software | 938 Impedance Tomography and Diffuse optical Tomography Reconstruction Software |
939 @url{http://eidors3d.sourceforge.net}}. This is model is designed to reflect | 939 @url{http://eidors3d.sourceforge.net}}. This is model is designed to reflect |
940 an application of electrical impedance tomography, where current patterns | 940 an application of electrical impedance tomography, where current patterns |
941 are applied to such a tank in order to image the internal conductivity | 941 are applied to such a tank in order to image the internal conductivity |
942 distribution. In order to describe the FEM geometry, we have a matrix of | 942 distribution. In order to describe the FEM geometry, we have a matrix of |
943 vertices @code{nodes} and simplices @code{elems}. | 943 vertices @code{nodes} and simplices @code{elems}. |
944 @end ifset | 944 @end ifset |
945 | 945 |
946 The following example creates a simple rectangular 2D electrically | 946 The following example creates a simple rectangular 2-D electrically |
947 conductive medium with 10 V and 20 V imposed on opposite sides | 947 conductive medium with 10 V and 20 V imposed on opposite sides |
948 (Dirichlet boundary conditions). All other edges are electrically | 948 (Dirichlet boundary conditions). All other edges are electrically |
949 isolated. | 949 isolated. |
950 | 950 |
951 @example | 951 @example |