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SIAMMAX
2010
110views more  SIAMMAX 2010»
12 years 11 months ago
Direction-Preserving and Schur-Monotonic Semiseparable Approximations of Symmetric Positive Definite Matrices
For a given symmetric positive definite matrix A RN
Ming Gu, Xiaoye S. Li, Panayot S. Vassilevski
SIAMMAX
2010
149views more  SIAMMAX 2010»
12 years 11 months ago
The Condition Metric in the Space of Rectangular Full Rank Matrices
The condition metric in spaces of polynomial systems has been introduced and studied in a series of papers by Beltr
Paola Boito, Jean-Pierre Dedieu
SIAMMAX
2010
92views more  SIAMMAX 2010»
12 years 11 months ago
Solving a Structured Quadratic Eigenvalue Problem by a Structure-Preserving Doubling Algorithm
Abstract. In studying the vibration of fast trains, we encounter a palindromic quadratic eigenvalue problem (QEP) (2AT +Q+A)z = 0, where A, Q Cn
Chun-Hua Guo, Wen-Wei Lin
SIAMMAX
2010
84views more  SIAMMAX 2010»
12 years 11 months ago
Smoothed Analysis of Moore-Penrose Inversion
Abstract. We perform a smoothed analysis of the condition number of rectangular matrices. We prove that, asymptotically, the expected value of this condition number depends only of...
Peter Bürgisser, Felipe Cucker
SIAMMAX
2010
98views more  SIAMMAX 2010»
12 years 11 months ago
Improved Balanced Incomplete Factorization
In this paper we improve the BIF algorithm which computes simultaneously the LU factors (direct factors) of a given matrix, and their inverses (inverse factors). This algorithm was...
Rafael Bru, José Marín, José ...