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A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs
In this work, we propose a simple yet generic preconditioned Krylov subspace method for a large class of nonsymmetric block Toeplitz all-at-once...
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A τ-preconditioner for a non-symmetric linear system arising from multi-dimensional Riemann-Liouville fractional diffusion equation
In this paper, we study a τ -preconditioner for non-symmetric linear system arising from a steady-state multi-dimensional Riemann-Liouville (RL)...
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Preconditioning techniques of all-at-once systems for multi-term time-fractional diffusion equations
In this paper, we consider solutions for discrete systems arising from multi-term time-fractional diffusion equations. Using discrete sine transform...
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A fast second-order scheme for nonlinear Riesz space-fractional diffusion equations
In this paper, the fractional centered difference formula is employed to discretize the Riesz derivative, while the Crank-Nicolson scheme is...
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Banded preconditioning with shift compensation for solving discrete Riesz space-fractional diffusion equations
Based on the finite-difference method, the considered Riesz space-fractional diffusion equations result in a series of linear systems, whose...
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A stiff-cut splitting technique for stiff semi-linear systems of differential equations
In this paper, we study a new splitting method for the semi-linear system of ordinary differential equation, where the linear part is stiff. Firstly,...
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Model Fitting and Optimization
In the previous chapter, we covered a large number of image processing operators that take as input one or more images and produce some filtered or...
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Circulant preconditioners for analytic functions of Toeplitz matrices
Circulant preconditioning for symmetric Toeplitz systems has been well developed over the past few decades. For a large class of such systems,...
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A Fast Fourier based Feature Descriptor and a Cascade Nearest Neighbour Search with an Efficient Matching Pipeline for Mosaicing of Microscopy Images
Automatic mosaicing is an important image processing application and we propose several improvements and simplifications to the image registration...
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Fast and accurate surface normal integration on non-rectangular domains
The integration of surface normals for the purpose of computing the shape of a surface in 3D space is a classic problem in computer vision. However,...
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Robust Features in Deep-Learning-Based Speech Recognition
Robust feature Recent progress in deep learning has revolutionized speech recognition research, with Deep Neural...
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A preconditioned conjugate gradient algorithm for GeneRank with application to microarray data mining
The problem of identifying key genes is of fundamental importance in biology and medicine. The GeneRank model explores connectivity data to produce a...
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Image restoration with shifting reflective boundary conditions
In signal and image processing, we want to recover a faithful representation of an original scene from blurred, noisy image data. This process can be...
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Analysis of the VR System
Managing the physical simulation of textiles with haptic contact interaction for two force-feedback devices required to exploit multi-core processor...
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Inverse product Toeplitz preconditioners for non-Hermitian Toeplitz systems
In this paper, we first propose product Toeplitz preconditioners (in an inverse form) for non-Hermitian Toeplitz matrices generated by functions with...
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Generalizing Inverse Compositional and ESM Image Alignment
Inverse compositional (IC) image alignment (Baker and Matthews in Int. J. Comput. Vis. 56(3):221–255,
2004 ) uses the symmetry between the roles of... -
The cyclic reduction algorithm: from Poisson equation to stochastic processes and beyond
Cyclic reduction is an algorithm invented by G. H. Golub and R. W. Hockney in the mid 1960s for solving linear systems related to the finite...
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Additive Preconditioning for Matrix Computations
Our weakly random additive preconditioners facilitate the solution of linear systems of equations and other fundamental matrix computations. Compared...
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