The iterative computation of singular points in parametrized nonlinear BVPs by so-called extended systems requires good starting values for the singular point itself and the corresponding eigenfunction. Using path-following techniques such starting values for the singular points should be generated automatically. However, pathfollowing does not provide approximations for the eigenfunctions. We ...

In this note we discuss the assignability of natural frequencies of LTI systems, given their Hankel singular values. For details we refer to [l]. Preliminaries. Consider the LTI system I=: k( t ) = Az( t ) + Bu(t), y ( t ) = Cz( t ) , A E PnX", B,CT E P", We will assume that C is controllable, observable, and stable. There are two important invariants associated with C: the natural frequencies ...

The harmonic Lanczos bidiagonalization method can be used to compute the smallest singular triplets of a large matrix A. We prove that for good enough projection subspaces harmonic Ritz values converge if the columns of A are strongly linearly independent. On the other hand, harmonic Ritz values may miss some desired singular values when the columns of A are almost linearly dependent. Furthermo...

A retrospective evaluation of attitudinal, behavioural and knowledge change among diverse stakeholder groups was conducted in Limpopo Province of South Africa to assess the effectiveness of a series of values clarification (VC) interventions. Telephone and face-to-face interview (193) results revealed that over two-thirds (70.2%) reported behavioural changes and 93.2% reported increased compass...

Abstract. An algorithm dubbed double Divide and Conquer is recently proposed, which first computes only singluar values by a part of Divide and Conquer and then computes the corresponding singular vectors by the twisted factorization. It accurately computes bidiagonal SVD in O(n) flops and is suited for parallelization when singular values are isolated. However, the twisted factorization can fa...

This communication describes some image-compression concepts such as the transmitted energy of the digital signal and the relative error of the compressed image in function of the number and magnitude of the singular values used in the Singular Value Decomposition of the matrix that represents the original picture. Comparisons are made with wavelet-based techniques using a test image. Key-Words...

other fields. However, the spectral properties of the Laplace Transform tend to complicate its numerical treatment; therefore, the closely related “Truncated” Laplace Transforms are often used in applications. We have constructed efficient algorithms for the evaluation of the Singular Value Decomposition (SVD) of Truncated Laplace Transforms; in the current paper, we introduce algorithms for th...