Computing accurate eigenvalues using a mixed-precision Jacobi algorithm

Authors: Higham, Nicholas J., Tisseur, Françoise, Webb, Marcus, Zhou, Zhengbo

Subject Terms: Mathematics - Numerical Analysis, 15A18, 65F08, 65F15

Access URL: http://arxiv.org/abs/2501.03742

Deflation Techniques for Finding Multiple Local Minima of a Nonlinear Least Squares Problem

Authors: Riley, Alban Bloor, Webb, Marcus, Baker, Michael L

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2409.14438

A Sherman--Morrison--Woodbury approach to solving least squares problems with low-rank updates

Authors: Güttel, Stefan, Nakatsukasa, Yuji, Webb, Marcus, Riley, Alban Bloor

Subject Terms: Mathematics - Numerical Analysis, 65F20

Access URL: http://arxiv.org/abs/2406.15120

Are sketch-and-precondition least squares solvers numerically stable?

Authors: Meier, Maike, Nakatsukasa, Yuji, Townsend, Alex, Webb, Marcus

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2302.07202

Sobolev-Orthogonal Systems with Tridiagonal Skew-Hermitian Differentiation Matrices

Authors: Iserles, Arieh, Webb, Marcus

Subject Terms: Mathematics - Classical Analysis and ODEs, Mathematics - Numerical Analysis, 42C05, 42C10, 42C30, 65M12, 65M70

Access URL: http://arxiv.org/abs/2206.07560

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Solving the linear semiclassical Schr\'odinger equation on the real line

Authors: Iserles, Arieh, Kropielnicka, Karolina, Schratz, Katharina, Webb, Marcus

Subject Terms: Mathematics - Numerical Analysis, 65M70, 41A30

Access URL: http://arxiv.org/abs/2102.00413

Approximation of wave packets on the real line

Authors: Iserles, Arieh, Luong, Karen, Webb, Marcus

Subject Terms: Mathematics - Numerical Analysis, 30E10, 41A60, 42C05, 41A20, 42A16

Access URL: http://arxiv.org/abs/2101.02566

A Differential Analogue of Favard's Theorem

Authors: Iserles, Arieh, Webb, Marcus

Subject Terms: Mathematics - Classical Analysis and ODEs, Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2012.07400

Sobolev‐orthogonal systems with tridiagonal skew‐Hermitian differentiation matrices

Authors: Iserles, Arieh, Webb, Marcus

Source: Studies in applied mathematics. 150(2):420-447

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCvdc_100173688489.0x000001&indx=1&recIds=ETOCvdc_100173688489.0x000001

The AZ algorithm for least squares systems with a known incomplete generalized inverse

Authors: Coppe, Vincent, Huybrechs, Daan, Matthysen, Roel, Webb, Marcus

Subject Terms: Mathematics - Numerical Analysis, 65F20, 65F05, 68W20

Access URL: http://arxiv.org/abs/1912.03648

A family of orthogonal rational functions and other orthogonal systems with a skew-Hermitian differentiation matrix

Authors: Iserles, Arieh, Webb, Marcus

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/1911.08917

Fast Computation of Orthogonal Systems with a Skew-symmetric Differentiation Matrix

Authors: Iserles, Arieh, Webb, Marcus

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/1911.05583

Pointwise and uniform convergence of Fourier extensions

Authors: Webb, Marcus, Coppé, Vincent, Huybrechs, Daan

Subject Terms: Mathematics - Numerical Analysis, 42A10, 41A17, 65T40, 42C15

Access URL: http://arxiv.org/abs/1811.09527

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Spectra of Jacobi operators via connection coefficient matrices

Authors: Webb, Marcus, Olver, Sheehan

Subject Terms: Mathematics - Spectral Theory

Access URL: http://arxiv.org/abs/1702.03095

Fast polynomial transforms based on Toeplitz and Hankel matrices

Authors: Townsend, Alex, Webb, Marcus, Olver, Sheehan

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/1604.07486

Volume Preservation by Runge-Kutta Methods

Authors: Bader, Philipp, McLaren, David I, Quispel, G. R. W., Webb, Marcus

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/1507.00535

Fast Computation of Orthogonal Systems with a Skew‐Symmetric Differentiation Matrix

Authors: Iserles, Arieh, Webb, Marcus

Source: Communications on pure and applied mathematics. 74(3):478-506

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCvdc_100121040231.0x000001&indx=1&recIds=ETOCvdc_100121040231.0x000001

A Differential Analogue of Favard's Theorem

Authors: Iserles, Arieh, Webb, Marcus

Source: Operator theory, advances and applications. 285:239-264

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCRN628044787&indx=1&recIds=ETOCRN628044787