Davis, Lisa; Johns, William; Monzón, Lucas; Reynolds, Matthew Iterative stability enforcement in adaptive Antoulas-Anderson algorithms for \(\mathcal{H}_2\) model reduction. (English) Zbl 1523.65015 SIAM J. Sci. Comput. 45, No. 4, A1844-A1861 (2023). MSC: 65D15 41A20 PDFBibTeX XMLCite \textit{L. Davis} et al., SIAM J. Sci. Comput. 45, No. 4, A1844--A1861 (2023; Zbl 1523.65015) Full Text: DOI
Forembski, Andrew; Nikolopoulos, Lampros A. A. MP-CITDSE: a set of ab-initio programs for the simulation of hydrogenic and helium-like atom-laser interactions. (English) Zbl 07723491 Comput. Phys. Commun. 291, Article ID 108820, 21 p. (2023). MSC: 81V45 78A60 81V10 46F05 35P10 62H20 70H05 41A58 PDFBibTeX XMLCite \textit{A. Forembski} and \textit{L. A. A. Nikolopoulos}, Comput. Phys. Commun. 291, Article ID 108820, 21 p. (2023; Zbl 07723491) Full Text: DOI
Smetana, Kathrin; Taddei, Tommaso Localized model reduction for nonlinear elliptic partial differential equations: localized training, partition of unity, and adaptive enrichment. (English) Zbl 1517.65117 SIAM J. Sci. Comput. 45, No. 3, A1300-A1331 (2023). MSC: 65N30 65K10 41A45 35J15 35J60 35N30 62D05 PDFBibTeX XMLCite \textit{K. Smetana} and \textit{T. Taddei}, SIAM J. Sci. Comput. 45, No. 3, A1300--A1331 (2023; Zbl 1517.65117) Full Text: DOI arXiv
Rim, Donsub; Peherstorfer, Benjamin; Mandli, Kyle T. Manifold approximations via transported subspaces: model reduction for transport-dominated problems. (English) Zbl 1514.78017 SIAM J. Sci. Comput. 45, No. 1, A170-A199 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 78M34 78M12 78M20 65M08 65M06 65N08 65D05 41A46 35F20 PDFBibTeX XMLCite \textit{D. Rim} et al., SIAM J. Sci. Comput. 45, No. 1, A170--A199 (2023; Zbl 1514.78017) Full Text: DOI arXiv
Gao, Zixuan; Liang, Jiuyang; Xu, Zhenli A kernel-independent sum-of-exponentials method. (English) Zbl 1520.65011 J. Sci. Comput. 93, No. 2, Paper No. 40, 35 p. (2022). MSC: 65D15 41A30 42A38 65R20 PDFBibTeX XMLCite \textit{Z. Gao} et al., J. Sci. Comput. 93, No. 2, Paper No. 40, 35 p. (2022; Zbl 1520.65011) Full Text: DOI arXiv
Haberstich, Cécile; Nouy, Anthony; Perrin, Guillaume Boosted optimal weighted least-squares. (English) Zbl 07506851 Math. Comput. 91, No. 335, 1281-1315 (2022). MSC: 65-XX 41A10 41A65 93E24 65D05 65D15 PDFBibTeX XMLCite \textit{C. Haberstich} et al., Math. Comput. 91, No. 335, 1281--1315 (2022; Zbl 07506851) Full Text: DOI arXiv
Gosea, Ion Victor; Gugercin, Serkan; Beattie, Christopher Data-driven balancing of linear dynamical systems. (English) Zbl 1492.37076 SIAM J. Sci. Comput. 44, No. 1, A554-A582 (2022). MSC: 37M99 41A20 65D30 93A15 93B15 PDFBibTeX XMLCite \textit{I. V. Gosea} et al., SIAM J. Sci. Comput. 44, No. 1, A554--A582 (2022; Zbl 1492.37076) Full Text: DOI arXiv
Dutta, Sourav; Farthing, Matthew W.; Perracchione, Emma; Savant, Gaurav; Putti, Mario A greedy non-intrusive reduced order model for shallow water equations. (English) Zbl 07512322 J. Comput. Phys. 439, Article ID 110378, 30 p. (2021). MSC: 41Axx 65Dxx 76Mxx PDFBibTeX XMLCite \textit{S. Dutta} et al., J. Comput. Phys. 439, Article ID 110378, 30 p. (2021; Zbl 07512322) Full Text: DOI arXiv
Zimmermann, Ralf Manifold interpolation. (English) Zbl 1505.65189 Benner, Peter (ed.) et al., Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 229-274 (2021). MSC: 65F60 41-01 41A05 65F99 93A15 93C30 PDFBibTeX XMLCite \textit{R. Zimmermann}, in: Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 229--274 (2021; Zbl 1505.65189) Full Text: DOI
Azaïez, M.; Chacón Rebollo, T.; Gómez Mármol, M.; Perracchione, E.; Rincón Casado, A.; Vega, J. M. Data-driven reduced order modeling based on tensor decompositions and its application to air-wall heat transfer in buildings. (English) Zbl 1476.65059 S\(\vec{\text{e}}\)MA J. 78, No. 2, 213-232 (2021). MSC: 65F25 41A63 80A19 PDFBibTeX XMLCite \textit{M. Azaïez} et al., S\(\vec{\text{e}}\)MA J. 78, No. 2, 213--232 (2021; Zbl 1476.65059) Full Text: DOI
Vasu, G.; Siva Kumar, M.; Raju, M. Ramalinga Internal model control design based on approximation of linear discrete dynamical systems. (English) Zbl 1481.93079 Appl. Math. Modelling 97, 683-700 (2021). MSC: 93C80 41A21 PDFBibTeX XMLCite \textit{G. Vasu} et al., Appl. Math. Modelling 97, 683--700 (2021; Zbl 1481.93079) Full Text: DOI
Taddei, Tommaso; Zhang, Lei A discretize-then-map approach for the treatment of parameterized geometries in model order reduction. (English) Zbl 1506.65227 Comput. Methods Appl. Mech. Eng. 384, Article ID 113956, 26 p. (2021). MSC: 65N30 35J57 41A45 PDFBibTeX XMLCite \textit{T. Taddei} and \textit{L. Zhang}, Comput. Methods Appl. Mech. Eng. 384, Article ID 113956, 26 p. (2021; Zbl 1506.65227) Full Text: DOI arXiv
Dolgov, Sergey; Kressner, Daniel; Strössner, Christoph Functional Tucker approximation using Chebyshev interpolation. (English) Zbl 1510.65033 SIAM J. Sci. Comput. 43, No. 3, A2190-A2210 (2021). MSC: 65D15 41A10 41A63 15A69 65F55 PDFBibTeX XMLCite \textit{S. Dolgov} et al., SIAM J. Sci. Comput. 43, No. 3, A2190--A2210 (2021; Zbl 1510.65033) Full Text: DOI arXiv
Eason, John P.; Biegler, Lorenz T. Model reduction in chemical process optimization. (English) Zbl 1471.35281 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 1-31 (2021). MSC: 35Q93 35-02 93A15 93C05 49M41 49M37 80A25 76V05 35B30 37M99 41A05 65K10 65M99 65F20 PDFBibTeX XMLCite \textit{J. P. Eason} and \textit{L. T. Biegler}, in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 1--31 (2021; Zbl 1471.35281) Full Text: DOI
Hokanson, Jeffrey M.; Magruder, Caleb C. \( \mathcal{H}_2\)-optimal model reduction using projected nonlinear least squares. (English) Zbl 1461.93060 SIAM J. Sci. Comput. 42, No. 6, A4017-A4045 (2020). MSC: 93B11 41A20 93C05 93C15 PDFBibTeX XMLCite \textit{J. M. Hokanson} and \textit{C. C. Magruder}, SIAM J. Sci. Comput. 42, No. 6, A4017--A4045 (2020; Zbl 1461.93060) Full Text: DOI arXiv
Bruni, V.; Della Cioppa, L.; Vitulano, D. An automatic and parameter-free information-based method for sparse representation in wavelet bases. (English) Zbl 1510.65336 Math. Comput. Simul. 176, 73-95 (2020). MSC: 65T60 41A45 94A08 94A12 PDFBibTeX XMLCite \textit{V. Bruni} et al., Math. Comput. Simul. 176, 73--95 (2020; Zbl 1510.65336) Full Text: DOI
Pradovera, Davide Interpolatory rational model order reduction of parametric problems lacking uniform inf-sup stability. (English) Zbl 1446.30045 SIAM J. Numer. Anal. 58, No. 4, 2265-2293 (2020). MSC: 30D30 41A20 41A25 35J05 35P15 65D15 PDFBibTeX XMLCite \textit{D. Pradovera}, SIAM J. Numer. Anal. 58, No. 4, 2265--2293 (2020; Zbl 1446.30045) Full Text: DOI arXiv
Herzet, C.; Diallo, M. Performance guarantees for a variational “multi-space” decoder. (English) Zbl 07189696 Adv. Comput. Math. 46, No. 1, Paper No. 10, 22 p. (2020). MSC: 65-XX 41A99 PDFBibTeX XMLCite \textit{C. Herzet} and \textit{M. Diallo}, Adv. Comput. Math. 46, No. 1, Paper No. 10, 22 p. (2020; Zbl 07189696) Full Text: DOI Link
De Marchi, S.; Martínez, A.; Perracchione, E. Fast and stable rational RBF-based partition of unity interpolation. (English) Zbl 1524.65075 J. Comput. Appl. Math. 349, 331-343 (2019). MSC: 65D12 41A05 41A30 65D15 65D17 PDFBibTeX XMLCite \textit{S. De Marchi} et al., J. Comput. Appl. Math. 349, 331--343 (2019; Zbl 1524.65075) Full Text: DOI
Fehr, Jörg; Grunert, Dennis; Holzwarth, Philip; Fröhlich, Benjamin; Walker, Nadine; Eberhard, Peter Morembs – a model order reduction package for elastic multibody systems and beyond. (English) Zbl 1433.74004 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 141-166 (2018). MSC: 74-04 65L60 65-04 74S99 34C20 74B20 65F15 65D05 41A05 49K15 PDFBibTeX XMLCite \textit{J. Fehr} et al., in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 141--166 (2018; Zbl 1433.74004) Full Text: DOI
Carracedo Rodriguez, Andrea; Gugercin, Serkan; Borggaard, Jeff Interpolatory model reduction of parameterized bilinear dynamical systems. (English) Zbl 1406.93069 Adv. Comput. Math. 44, No. 6, 1887-1916 (2018). MSC: 93B11 93C10 93C05 41A05 93C15 PDFBibTeX XMLCite \textit{A. Carracedo Rodriguez} et al., Adv. Comput. Math. 44, No. 6, 1887--1916 (2018; Zbl 1406.93069) Full Text: DOI arXiv
Tomljanović, Zoran; Beattie, Christopher; Gugercin, Serkan Damping optimization of parameter dependent mechanical systems by rational interpolation. (English) Zbl 1416.90038 Adv. Comput. Math. 44, No. 6, 1797-1820 (2018). MSC: 90C26 74P10 70Q05 41A05 PDFBibTeX XMLCite \textit{Z. Tomljanović} et al., Adv. Comput. Math. 44, No. 6, 1797--1820 (2018; Zbl 1416.90038) Full Text: DOI arXiv
Druskin, Vladimir; Mamonov, Alexander V.; Zaslavsky, Mikhail A nonlinear method for imaging with acoustic waves via reduced order model backprojection. (English) Zbl 1401.86006 SIAM J. Imaging Sci. 11, No. 1, 164-196 (2018). MSC: 86A22 35R30 41A05 65N21 PDFBibTeX XMLCite \textit{V. Druskin} et al., SIAM J. Imaging Sci. 11, No. 1, 164--196 (2018; Zbl 1401.86006) Full Text: DOI arXiv
Berljafa, Mario; Güttel, Stefan The RKFIT algorithm for nonlinear rational approximation. (English) Zbl 1373.65037 SIAM J. Sci. Comput. 39, No. 5, A2049-A2071 (2017). MSC: 65H10 41A20 93D25 65K10 PDFBibTeX XMLCite \textit{M. Berljafa} and \textit{S. Güttel}, SIAM J. Sci. Comput. 39, No. 5, A2049--A2071 (2017; Zbl 1373.65037) Full Text: DOI
Palacio-Betancur, Viviana; Villada-Gil, Stiven; de Pablo, Juan J.; Hernández-Ortiz, Juan P. Educating local radial basis functions using the highest gradient of interest in three dimensional geometries. (English) Zbl 1365.41002 Int. J. Numer. Methods Eng. 110, No. 7, 603-617 (2017). MSC: 41A05 35Q56 65N99 82D55 35A35 PDFBibTeX XMLCite \textit{V. Palacio-Betancur} et al., Int. J. Numer. Methods Eng. 110, No. 7, 603--617 (2017; Zbl 1365.41002) Full Text: DOI
Kordy, Michal; Cherkaev, Elena; Wannamaker, Philip Null space correction and adaptive model order reduction in multi-frequency Maxwell’s problem. (English) Zbl 1372.35296 Adv. Comput. Math. 43, No. 1, 171-193 (2017). MSC: 35Q61 41A20 41A05 86-08 65N30 78M34 78M10 65N21 PDFBibTeX XMLCite \textit{M. Kordy} et al., Adv. Comput. Math. 43, No. 1, 171--193 (2017; Zbl 1372.35296) Full Text: DOI
Ahmad, Mian Ilyas; Szyld, Daniel B.; van Gijzen, Martin B. Preconditioned multishift BiCG for \(\mathcal{H}_2\)-optimal model reduction. (English) Zbl 1365.65080 SIAM J. Matrix Anal. Appl. 38, No. 2, 401-424 (2017). MSC: 65F10 65F50 41A05 93B11 PDFBibTeX XMLCite \textit{M. I. Ahmad} et al., SIAM J. Matrix Anal. Appl. 38, No. 2, 401--424 (2017; Zbl 1365.65080) Full Text: DOI
Filip, Silviu-Ioan A robust and scalable implementation of the Parks-McClellan algorithm for designing FIR filters. (English) Zbl 1371.65013 ACM Trans. Math. Softw. 43, No. 1, Article No. 7, 24 p. (2016). MSC: 65C60 65D05 41A10 41A50 94A12 62M20 PDFBibTeX XMLCite \textit{S.-I. Filip}, ACM Trans. Math. Softw. 43, No. 1, Article No. 7, 24 p. (2016; Zbl 1371.65013) Full Text: DOI Link
Druskin, Vladimir; Mamonov, Alexander V.; Thaler, Andrew E.; Zaslavsky, Mikhail Direct, nonlinear inversion algorithm for hyperbolic problems via projection-based model reduction. (English) Zbl 1346.86007 SIAM J. Imaging Sci. 9, No. 2, 684-747 (2016). MSC: 86A22 35R30 41A05 65N21 PDFBibTeX XMLCite \textit{V. Druskin} et al., SIAM J. Imaging Sci. 9, No. 2, 684--747 (2016; Zbl 1346.86007) Full Text: DOI arXiv
Kurbatov, V. G.; Kurbatova, I. V. Computation of a function of a matrix with close eigenvalues by means of the Newton interpolating polynomial. (English) Zbl 1331.65070 Linear Multilinear Algebra 64, No. 2, 111-122 (2016). MSC: 65F60 41A10 65D05 PDFBibTeX XMLCite \textit{V. G. Kurbatov} and \textit{I. V. Kurbatova}, Linear Multilinear Algebra 64, No. 2, 111--122 (2016; Zbl 1331.65070) Full Text: DOI arXiv
Kressner, Daniel; Uschmajew, André On low-rank approximability of solutions to high-dimensional operator equations and eigenvalue problems. (English) Zbl 1336.65093 Linear Algebra Appl. 493, 556-572 (2016). MSC: 65J10 15A69 41A25 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{A. Uschmajew}, Linear Algebra Appl. 493, 556--572 (2016; Zbl 1336.65093) Full Text: DOI arXiv
Pulch, Roland; ter Maten, E. Jan W.; Augustin, Florian Sensitivity analysis and model order reduction for random linear dynamical systems. (English) Zbl 07313360 Math. Comput. Simul. 111, 80-95 (2015). MSC: 41Axx PDFBibTeX XMLCite \textit{R. Pulch} et al., Math. Comput. Simul. 111, 80--95 (2015; Zbl 07313360) Full Text: DOI Link
Benner, Peter; Gugercin, Serkan; Willcox, Karen A survey of projection-based model reduction methods for parametric dynamical systems. (English) Zbl 1339.37089 SIAM Rev. 57, No. 4, 483-531 (2015). MSC: 37M99 35B30 41A05 65K99 93A15 93C05 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM Rev. 57, No. 4, 483--531 (2015; Zbl 1339.37089) Full Text: DOI Link
Drmač, Z.; Gugercin, S.; Beattie, C. Vector fitting for matrix-valued rational approximation. (English) Zbl 1323.93050 SIAM J. Sci. Comput. 37, No. 5, A2346-A2379 (2015). MSC: 93C80 41A05 49K15 49M05 93A15 93C05 93C15 PDFBibTeX XMLCite \textit{Z. Drmač} et al., SIAM J. Sci. Comput. 37, No. 5, A2346--A2379 (2015; Zbl 1323.93050) Full Text: DOI arXiv
Austin, Anthony P.; Trefethen, Lloyd N. Computing eigenvalues of real symmetric matrices with rational filters in real arithmetic. (English) Zbl 1328.15016 SIAM J. Sci. Comput. 37, No. 3, A1365-A1387 (2015). MSC: 15A18 41A20 65F15 PDFBibTeX XMLCite \textit{A. P. Austin} and \textit{L. N. Trefethen}, SIAM J. Sci. Comput. 37, No. 3, A1365--A1387 (2015; Zbl 1328.15016) Full Text: DOI Link
Drmač, Z.; Gugercin, S.; Beattie, C. Quadrature-based vector fitting for discretized \(\mathcal{H}_2\) approximation. (English) Zbl 1320.93029 SIAM J. Sci. Comput. 37, No. 2, A625-A652 (2015). MSC: 93B11 41A05 49K15 49M05 93A15 93C05 93C15 PDFBibTeX XMLCite \textit{Z. Drmač} et al., SIAM J. Sci. Comput. 37, No. 2, A625--A652 (2015; Zbl 1320.93029) Full Text: DOI arXiv
Aikio, Janne P.; Rahkonen, Timo; Karanko, Ville Polynomial fitting of nonlinear sources with correlating inputs. (English) Zbl 1360.65055 COMPEL 33, No. 4, 1097-1106 (2014). MSC: 65D10 41A10 PDFBibTeX XMLCite \textit{J. P. Aikio} et al., COMPEL 33, No. 4, 1097--1106 (2014; Zbl 1360.65055) Full Text: DOI
Flores-Bazán, Fabián; Cárcamo, Gabriel A geometric characterization of strong duality in nonconvex quadratic programming with linear and nonconvex quadratic constraints. (English) Zbl 1327.90305 Math. Program. 145, No. 1-2 (A), 263-290 (2014). Reviewer: Gabriela Cristescu (Arad) MSC: 90C30 41A65 52A07 PDFBibTeX XMLCite \textit{F. Flores-Bazán} and \textit{G. Cárcamo}, Math. Program. 145, No. 1--2 (A), 263--290 (2014; Zbl 1327.90305) Full Text: DOI Link
Fuhrmann, Paul A.; Helmke, Uwe On the use of functional models in model reduction. (English) Zbl 1198.15012 Willems, Jan C. (ed.) et al., Perspectives in mathematical system theory, control, and signal processing. A Festschrift in honor of Yutaka Yamamoto on the occasion of his 60th birthday. Invited papers of the symposium, Kyoto, Japan, March 29–31, 2010. Berlin: Springer (ISBN 978-3-540-93917-7/pbk; 978-3-540-93918-4/ebook). Lecture Notes in Control and Information Sciences 398, 177-187 (2010). MSC: 15A24 15A69 41A05 93B52 PDFBibTeX XMLCite \textit{P. A. Fuhrmann} and \textit{U. Helmke}, Lect. Notes Control Inf. Sci. 398, 177--187 (2010; Zbl 1198.15012) Full Text: DOI
Jakobsson, Stefan; Andersson, Björn; Edelvik, Fredrik Rational radial basis function interpolation with applications to antenna design. (English) Zbl 1178.65009 J. Comput. Appl. Math. 233, No. 4, 889-904 (2009). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 41A05 41A20 78A50 PDFBibTeX XMLCite \textit{S. Jakobsson} et al., J. Comput. Appl. Math. 233, No. 4, 889--904 (2009; Zbl 1178.65009) Full Text: DOI
Aptekarev, A. I.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Yáñez, R. Discrete entropies of orthogonal polynomials. (English) Zbl 1177.33018 Constr. Approx. 30, No. 1, 93-119 (2009). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 41A58 42C05 94A17 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Constr. Approx. 30, No. 1, 93--119 (2009; Zbl 1177.33018) Full Text: DOI arXiv
Milovanović, Gradimir V.; Cvetković, Aleksandar S.; Stanić, Marija P. Trigonometric orthogonal systems and quadrature formulae. (English) Zbl 1165.65325 Comput. Math. Appl. 56, No. 11, 2915-2931 (2008). MSC: 65D30 41A55 42A15 PDFBibTeX XMLCite \textit{G. V. Milovanović} et al., Comput. Math. Appl. 56, No. 11, 2915--2931 (2008; Zbl 1165.65325) Full Text: DOI
Graves-Morris, P. R. BiCGStab, VPAStab and an adaptation to mildly nonlinear systems. (English) Zbl 1109.41009 J. Comput. Appl. Math. 201, No. 1, 284-299 (2007). MSC: 41A21 65B05 65D15 65H10 PDFBibTeX XMLCite \textit{P. R. Graves-Morris}, J. Comput. Appl. Math. 201, No. 1, 284--299 (2007; Zbl 1109.41009) Full Text: DOI
Kim, Sun-Mi; Reichel, Lothar Anti-Szegő quadrature rules. (English) Zbl 1115.65025 Math. Comput. 76, No. 258, 795-810 (2007). Reviewer: Dan Bārbosu (Baia Mare) MSC: 65D32 41A55 30E20 PDFBibTeX XMLCite \textit{S.-M. Kim} and \textit{L. Reichel}, Math. Comput. 76, No. 258, 795--810 (2007; Zbl 1115.65025) Full Text: DOI
Jagels, Carl; Reichel, Lothar Szegő-Lobatto quadrature rules. (English) Zbl 1109.65027 J. Comput. Appl. Math. 200, No. 1, 116-126 (2007). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 65F15 41A55 PDFBibTeX XMLCite \textit{C. Jagels} and \textit{L. Reichel}, J. Comput. Appl. Math. 200, No. 1, 116--126 (2007; Zbl 1109.65027) Full Text: DOI
Benner, Peter Numerical linear algebra for model reduction in control and simulation. (English) Zbl 1157.93337 GAMM-Mitt. 29, No. 2, 275-296 (2006). MSC: 93B11 65F30 41A20 65F15 93-02 15A18 PDFBibTeX XMLCite \textit{P. Benner}, GAMM-Mitt. 29, No. 2, 275--296 (2006; Zbl 1157.93337) Full Text: DOI
Salimbahrami, Behnam; Lohmann, Boris Order reduction of large scale second-order systems using Krylov subspace methods. (English) Zbl 1103.93017 Linear Algebra Appl. 415, No. 2-3, 385-405 (2006). Reviewer: William J. Satzer jun. (St. Paul) MSC: 93B11 93C10 93A15 41A05 34K17 PDFBibTeX XMLCite \textit{B. Salimbahrami} and \textit{B. Lohmann}, Linear Algebra Appl. 415, No. 2--3, 385--405 (2006; Zbl 1103.93017) Full Text: DOI
Sorensen, D. C.; Antoulas, A. C. The Sylvester equation and approximate balanced reduction. (English) Zbl 1023.93012 Linear Algebra Appl. 351-352, 671-700 (2002). Reviewer: L.Rodman (Williamsburg) MSC: 93B11 15A24 93B20 41A05 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{A. C. Antoulas}, Linear Algebra Appl. 351--352, 671--700 (2002; Zbl 1023.93012) Full Text: DOI
Kolm, P.; Rokhlin, V. Numerical quadratures for singular and hypersingular integrals. (English) Zbl 0985.65016 Comput. Math. Appl. 41, No. 3-4, 327-352 (2001). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A55 45E10 65R20 PDFBibTeX XMLCite \textit{P. Kolm} and \textit{V. Rokhlin}, Comput. Math. Appl. 41, No. 3--4, 327--352 (2001; Zbl 0985.65016) Full Text: DOI
Bai, Zhaojun; Freund, Roland W. A partial Padé-via-Lanczos method for reduced-order modeling. (English) Zbl 0980.93012 Linear Algebra Appl. 332-334, No. 1-3, 139-164 (2001). Reviewer: Adhemar Bultheel (Leuven) MSC: 93B11 41A21 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{R. W. Freund}, Linear Algebra Appl. 332--334, 139--164 (2001; Zbl 0980.93012) Full Text: DOI
Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L. Computation of Gauss-Kronrod quadrature rules. (English) Zbl 0947.65022 Math. Comput. 69, No. 231, 1035-1052 (2000). Reviewer: Luigi Gatteschi (Torino) MSC: 65D32 65Y05 65Y20 41A55 PDFBibTeX XMLCite \textit{D. Calvetti} et al., Math. Comput. 69, No. 231, 1035--1052 (2000; Zbl 0947.65022) Full Text: DOI
Sinap, Ann Gaussian quadrature for matrix valued functions on the real line. (English) Zbl 0876.65011 J. Comput. Appl. Math. 65, No. 1-3, 369-385 (1995). Reviewer: C.Simerská (Praha) MSC: 65D32 65Y05 42C05 41A55 41A63 PDFBibTeX XMLCite \textit{A. Sinap}, J. Comput. Appl. Math. 65, No. 1--3, 369--385 (1995; Zbl 0876.65011) Full Text: DOI
Gragg, William B. Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle. (English) Zbl 0777.65013 J. Comput. Appl. Math. 46, No. 1-2, 183-198 (1993). Reviewer: S.Filippi (Gießen) MSC: 65F05 65D32 41A55 30E10 65E05 PDFBibTeX XMLCite \textit{W. B. Gragg}, J. Comput. Appl. Math. 46, No. 1--2, 183--198 (1993; Zbl 0777.65013) Full Text: DOI