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1

On improving the accuracy of Horner’s and Goertzel’s algorithms

Alicja Smoktunowicz, Iwona Wróbel

Journal:

Numerical Algorithms

Year:

2005

Language:

english

File:

PDF, 310 KB

english, 2005

2

Binary cascades iterative refinement in doubled-mantissa arithmetics

Alicja Smoktunowicz, Jolanta Sokolnicka

Journal:

BIT Numerical Mathematics

Year:

1984

Language:

english

File:

PDF, 194 KB

english, 1984

3

Backward Stability of Clenshaw's Algorithm

Alicja Smoktunowicz

Journal:

BIT Numerical Mathematics

Year:

2002

Language:

english

File:

PDF, 146 KB

english, 2002

4

Efficient numerical algorithms for constructing orthogonal generalized doubly stochastic matrices

Smoktunowicz, Alicja, Kozera, Ryszard, Oderda, Gianluca

Journal:

Applied Numerical Mathematics

Year:

2019

Language:

english

File:

PDF, 303 KB

english, 2019

5

AIP Conference Proceedings [Author(s) INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017) - Thessaloniki, Greece (25–30 September 2017)] - Numerical properties of block Cholesky-like methods for solving symmetric quasi-definite linear systems

Okulicka-Dłużewska, Felicja, Kozera, Ryszard, Smoktunowicz, Alicja

Year:

2018

File:

PDF, 656 KB

2018

6

Block matrices and symmetric perturbations

Alicja Smoktunowicz

Journal:

Linear Algebra and its Applications

Year:

2008

Language:

english

File:

PDF, 120 KB

english, 2008

7

A note on the error analysis of classical Gram–Schmidt

Alicja Smoktunowicz, Jesse L. Barlow, Julien Langou

Journal:

Numerische Mathematik

Year:

2006

Language:

english

File:

PDF, 247 KB

english, 2006

8

On Constructing Unit Triangular Matrices with Prescribed Singular Values

Przemysław Kosowski, Alicja Smoktunowicz

Journal:

Year:

2000

Language:

english

File:

PDF, 129 KB

english, 2000

9

Improved Gram–Schmidt Type Downdating Methods

Jesse L. Barlow, Alicja Smoktunowicz, Hasan Erbay

Journal:

BIT Numerical Mathematics

Year:

2005

Language:

english

File:

PDF, 436 KB

english, 2005

10

Numerical aspects of computing the Moore-Penrose inverse of full column rank matrices

Alicja Smoktunowicz, Iwona Wróbel

Journal:

BIT Numerical Mathematics

Year:

2012

Language:

english

File:

PDF, 711 KB

english, 2012

11

Numerical stability of orthogonalization methods with a non-standard inner product

Miroslav Rozložník, Miroslav Tůma, Alicja Smoktunowicz, Jiří Kopal

Journal:

BIT Numerical Mathematics

Year:

2012

Language:

english

File:

PDF, 824 KB

english, 2012

12

Reorthogonalized block classical Gram–Schmidt

Barlow, Jesse L., Smoktunowicz, Alicja

Journal:

Numerische Mathematik

Year:

2013

Language:

english

File:

PDF, 357 KB

english, 2013

13

A note on iterative refinement for seminormal equations

Rozložník, Miroslav, Smoktunowicz, Alicja, Kopal, Jiří

Journal:

Applied Numerical Mathematics

Year:

2014

Language:

english

File:

PDF, 450 KB

english, 2014

14

Iterative refinement techniques for solving block linear systems of equations

Smoktunowicz, Alicja, Smoktunowicz, Agata

Journal:

Applied Numerical Mathematics

Year:

2013

Language:

english

File:

PDF, 202 KB

english, 2013

15

The three-term recursion for Chebyshev polynomials is mixed forward-backward stable

Smoktunowicz, Alicja, Smoktunowicz, Agata, Pawelec, Ewa

Journal:

Numerical Algorithms

Year:

2015

Language:

english

File:

PDF, 246 KB

english, 2015

16

SPIE Proceedings [SPIE International Symposium on Optical Science and Technology - San Diego, CA (Sunday 29 July 2001)] Advanced Signal Processing Algorithms, Architectures, and Implementations XI - Two-step Gram-Schmidt downdating methods

Barlow, Jesse L., Smoktunowicz, Alicja, Erbay, Hasan, Luk, Franklin T.

Year:

2001

Language:

english

File:

PDF, 191 KB

english, 2001

17

Numerical solution of 2 × 2 block linear systems by block Gram–Schmidt methods

Okulicka, Felicja, Smoktunowicz, Alicja

Journal:

International Journal of Computer Mathematics

Year:

2016

Language:

english

File:

PDF, 412 KB

english, 2016

18

Set-theoretic solutions of the Yang–Baxter equation and new classes of R-matrices

Smoktunowicz, Agata, Smoktunowicz, Alicja

Journal:

Linear Algebra and its Applications

Year:

2018

Language:

english

File:

PDF, 584 KB

english, 2018