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» On the Block Triangular Form of Symmetric Matrices
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SIAMREV
2010
90views more  SIAMREV 2010»
12 years 11 months ago
On the Block Triangular Form of Symmetric Matrices
We present some observations on the block triangular form (btf) of structurally symmetric, square, sparse matrices. If the matrix is structurally rank deficient, its canonical btf ...
Iain S. Duff, Bora Uçar
JPDC
2008
135views more  JPDC 2008»
13 years 4 months ago
Parallel block tridiagonalization of real symmetric matrices
Two parallel block tridiagonalization algorithms and implementations for dense real symmetric matrices are presented. Block tridiagonalization is a critical pre-processing step for...
Yihua Bai, Robert C. Ward
SIAMMAX
2010
224views more  SIAMMAX 2010»
12 years 11 months ago
Robust Approximate Cholesky Factorization of Rank-Structured Symmetric Positive Definite Matrices
Abstract. Given a symmetric positive definite matrix A, we compute a structured approximate Cholesky factorization A RT R up to any desired accuracy, where R is an upper triangula...
Jianlin Xia, Ming Gu
EUROPAR
2003
Springer
13 years 10 months ago
Parallel ScaLAPACK-Style Algorithms for Solving Continuous-Time Sylvester Matrix Equations
An implementation of a parallel ScaLAPACK-style solver for the general Sylvester equation, op(A)X −Xop(B) = C, where op(A) denotes A or its transpose AT , is presented. The paral...
Robert Granat, Bo Kågström, Peter Porom...
GMP
2002
IEEE
172views Solid Modeling» more  GMP 2002»
13 years 9 months ago
Classifying the Nonsingular Intersection Curve of Two Quadric Surfaces
We present new results on classifying the morphology of the nonsingular intersection curve of two quadrics by studying the roots of the characteristic equation, or the discriminan...
Changhe Tu, Wenping Wang, Jiaye Wang