Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro The singular value decomposition: anatomy of optimizing an algorithm for extreme scale. (English) Zbl 1410.65114 SIAM Rev. 60, No. 4, 808-865 (2018). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 65Y15 15A18 15A23 65Y05 PDFBibTeX XMLCite \textit{J. Dongarra} et al., SIAM Rev. 60, No. 4, 808--865 (2018; Zbl 1410.65114) Full Text: DOI
Gentle, James E. Matrix algebra. Theory, computations and applications in statistics. 2nd edition. (English) Zbl 1386.15002 Springer Texts in Statistics. Cham: Springer (ISBN 978-3-319-64866-8/pbk; 978-3-319-64867-5/ebook). xxix, 648 p. (2017). Reviewer: Frank Uhlig (Auburn) MSC: 15-01 62-01 65-01 PDFBibTeX XMLCite \textit{J. E. Gentle}, Matrix algebra. Theory, computations and applications in statistics. 2nd edition. Cham: Springer (2017; Zbl 1386.15002) Full Text: DOI
Xue, Dingyü; Chen, Yang Quan Solving applied mathematical problems with Matlab. (English) Zbl 1156.00013 Boca Raton, FL: CRC Press (ISBN 978-1-4200-8250-0/hbk). xiv, 432 p. with CD-ROM. (2009). Reviewer: Răzvan Răducanu (Iaşi) MSC: 00A69 65-02 15-02 PDFBibTeX XMLCite \textit{D. Xue} and \textit{Y. Q. Chen}, Solving applied mathematical problems with Matlab. Boca Raton, FL: CRC Press (2009; Zbl 1156.00013)
Gentle, James E. Matrix algebra. Theory, computations, and applications in statistics. (English) Zbl 1133.15001 Springer Texts in Statistics. New York, NY: Springer (ISBN 978-0-387-70872-0/hbk). xxii, 528 p. (2007). Reviewer: Frank Uhlig (Auburn) MSC: 15-01 62-01 65Fxx PDFBibTeX XMLCite \textit{J. E. Gentle}, Matrix algebra. Theory, computations, and applications in statistics. New York, NY: Springer (2007; Zbl 1133.15001) Full Text: DOI
Tang, K. T. Mathematical methods for engineers and scientists 2. Vector analysis, ordinary differential equations and Laplace transforms. (English) Zbl 1153.00004 Berlin: Springer (ISBN 978-3-540-30268-1/hbk). xii, 339 p. (2007). Reviewer: Jürgen Appell (Würzburg) MSC: 00A06 15-01 34-01 42-01 PDFBibTeX XMLCite \textit{K. T. Tang}, Mathematical methods for engineers and scientists 2. Vector analysis, ordinary differential equations and Laplace transforms. Berlin: Springer (2007; Zbl 1153.00004)
Kreßner, Daniel Numerical methods and software for general and structured eigenvalue problems. (English) Zbl 1213.65062 Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.). 267 p. (2004). MSC: 65F15 15-04 PDFBibTeX XMLCite \textit{D. Kreßner}, Numerical methods and software for general and structured eigenvalue problems. Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.) (2004; Zbl 1213.65062) Full Text: Link
Elmroth, Erik; Gustavson, Fred; Jonsson, Isak; Kågström, Bo Recursive blocked algorithms and hybrid data structures for dense matrix library software. (English) Zbl 1068.65040 SIAM Rev. 46, No. 1, 3-45 (2004). Reviewer: R. Militaru (Craiova) MSC: 65Fxx 65Y15 65Y05 65-02 15A23 15A24 68M20 68W30 PDFBibTeX XMLCite \textit{E. Elmroth} et al., SIAM Rev. 46, No. 1, 3--45 (2004; Zbl 1068.65040) Full Text: DOI
Moler, Cleve; Van Loan, Charles Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. (English) Zbl 1030.65029 SIAM Rev. 45, No. 1, 3-49 (2003). Reviewer: Thomas Sonar (Braunschweig) MSC: 65F20 15A12 65L05 65F35 PDFBibTeX XMLCite \textit{C. Moler} and \textit{C. Van Loan}, SIAM Rev. 45, No. 1, 3--49 (2003; Zbl 1030.65029) Full Text: DOI
Bindel, David; Demmel, James; Kahan, William; Marques, Osni On computing Givens rotations reliably and efficiently. (English) Zbl 1072.65048 ACM Trans. Math. Softw. 28, No. 2, 206-238 (2002). MSC: 65F15 15-04 65Y15 65Y20 PDFBibTeX XMLCite \textit{D. Bindel} et al., ACM Trans. Math. Softw. 28, No. 2, 206--238 (2002; Zbl 1072.65048) Full Text: DOI
Li, Xiaoye S.; Martin, Michael C.; Thompson, Brandon J.; Tung, Teresa; Yoo, Daniel J.; Demmel, James W.; Bailey, David H.; Henry, Greg; Hida, Yozo; Iskandar, Jimmy; Kahan, William; Kang, Suh Y.; Kapur, Anil Design, implementation and testing of extended and mixed precision BLAS. (English) Zbl 1070.65523 ACM Trans. Math. Softw. 28, No. 2, 1512-205 (2002). MSC: 65Fxx 15-04 65Y20 PDFBibTeX XMLCite \textit{X. S. Li} et al., ACM Trans. Math. Softw. 28, No. 2, 1512--205 (2002; Zbl 1070.65523) Full Text: DOI Link
Konstantinov, M. M.; Stanislavova, M. O.; Petkov, P. Hr. Perturbation bounds and characterisation of the solution of the associated algebraic Riccati equation. (English) Zbl 0933.15025 Linear Algebra Appl. 285, No. 1-3, 7-31 (1998). Reviewer: L.Rodman (Williamsburg) MSC: 15A24 PDFBibTeX XMLCite \textit{M. M. Konstantinov} et al., Linear Algebra Appl. 285, No. 1--3, 7--31 (1998; Zbl 0933.15025) Full Text: DOI
Li, T. Y.; Zhang, Zhinan; Wang, Tianjun Determining the structure of the Jordan normal form of a matrix by symbolic computation. (English) Zbl 0870.65030 Linear Algebra Appl. 252, 221-259 (1997). Reviewer: H.Matthies (Braunschweig) MSC: 65F15 15A21 PDFBibTeX XMLCite \textit{T. Y. Li} et al., Linear Algebra Appl. 252, 221--259 (1997; Zbl 0870.65030) Full Text: DOI
Dongarra, Jack J.; Walker, David W. Constructing linear algebra software libraries for high-performance computers. (English) Zbl 0938.65057 Chan, Raymond H. (ed.) et al., Iterative methods in scientific computing. Papers from the winter school on Iterative methods in scientific computing and their applications held in Hong Kong, December 14-20, 1995. Singapore: Springer. 111-167 (1997). MSC: 65Fxx 15-04 65Y15 PDFBibTeX XMLCite \textit{J. J. Dongarra} and \textit{D. W. Walker}, in: Iterative methods in scientific computing. Papers from the winter school on Iterative methods in scientific computing and their applications held in Hong Kong, December 14--20, 1995. Singapore: Springer. 111--167 (1997; Zbl 0938.65057)
Bai, Zhaojun; Stewart, G. W. Algorithm 776: SRRIT: A Fortran subroutine to calculate the dominant invariant subspace of a nonsymmetric matrix. (English) Zbl 0912.65029 ACM Trans. Math. Softw. 23, No. 4, 494-513 (1997). MSC: 65F15 15-04 65F50 65F25 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{G. W. Stewart}, ACM Trans. Math. Softw. 23, No. 4, 494--513 (1997; Zbl 0912.65029) Full Text: DOI Link
Hansen, Per Christian Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. (English) Zbl 0890.65037 SIAM Monographs on Mathematical Modeling and Computation, 4. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 247 p. (1997). Reviewer: C.W.Groetsch (Cincinnati) MSC: 65F20 65J20 47A50 15A09 65R30 45B05 65-02 PDFBibTeX XMLCite \textit{P. C. Hansen}, Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. Philadelphia, PA: SIAM (1997; Zbl 0890.65037) Full Text: DOI
Ipsen, Ilse C. F. Computing an eigenvector with inverse iteration. (English) Zbl 0874.65029 SIAM Rev. 39, No. 2, 254-291 (1997). MSC: 65F15 15A42 PDFBibTeX XMLCite \textit{I. C. F. Ipsen}, SIAM Rev. 39, No. 2, 254--291 (1997; Zbl 0874.65029) Full Text: DOI
Ikebe, Yasuhiko; Asai, Nobuyoshi; Miyazaki, Yoshinori; Cai, Dengsheng The eigenvalue problem for infinite complex symmetric tridiagonal matrices with application. (English) Zbl 0857.15001 Linear Algebra Appl. 241-243, 599-618 (1996). Reviewer: K.H.Kim (Montgomery) MSC: 15A18 15A60 PDFBibTeX XMLCite \textit{Y. Ikebe} et al., Linear Algebra Appl. 241--243, 599--618 (1996; Zbl 0857.15001) Full Text: DOI
Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. LAPACK user’s guide. 2nd ed. (English) Zbl 0843.65018 Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xix, 325 p. (1995). Reviewer: O.Pastravanu (Iaşi) MSC: 65Fxx 65Yxx 65-01 15-04 68-00 68N20 PDFBibTeX XMLCite \textit{E. Anderson} et al., LAPACK user's guide. 2nd ed. Philadelphia, PA: SIAM (1995; Zbl 0843.65018)
Dongarra, Jack Performance of LAPACK. (English) Zbl 0832.65023 Gilbert, John (ed.) et al., Advances in numerical analysis. Vol. III: Large-scale matrix problems and the numerical solution of partial differential equations. Proceedings of the fifth summer school in numerical analysis, held at Lancaster University, Lancaster, UK, July 19-31, 1992. Oxford: Clarendon Press. Oxford Science Publications. 55-67 (1994). MSC: 65Fxx 65Y10 15-04 65Y20 PDFBibTeX XMLCite \textit{J. Dongarra}, in: Advances in numerical analysis. Vol. III: Large-scale matrix problems and the numerical solution of partial differential equations. Proceedings of the fifth summer school in numerical analysis, held at Lancaster University, Lancaster, UK, July 19-31, 1992. Oxford: Clarendon Press. 55--67 (1994; Zbl 0832.65023)
Manocha, Dinesh; Demmel, James Algorithms for intersecting parametric and algebraic curves. I: Simple intersections. (English) Zbl 0802.65147 ACM Trans. Graph. 13, No. 1, 73-100 (1994). Reviewer: H.Guggenheimer (West Hempstead) MSC: 65D18 65H10 68U05 14Q05 15A15 PDFBibTeX XMLCite \textit{D. Manocha} and \textit{J. Demmel}, ACM Trans. Graph. 13, No. 1, 73--100 (1994; Zbl 0802.65147) Full Text: DOI
Stathopoulos, Andreas; Fischer, Charlotte F. A Davidson program for finding a few selected extreme eigenpairs of a large, sparse, real, symmetric matrix. (English) Zbl 0878.65029 Comput. Phys. Commun. 79, No. 2, 268-290 (1994). MSC: 65F15 15-04 65F50 PDFBibTeX XMLCite \textit{A. Stathopoulos} and \textit{C. F. Fischer}, Comput. Phys. Commun. 79, No. 2, 268--290 (1994; Zbl 0878.65029) Full Text: DOI
Patel, R. V. On computing the eigenvalues of a symplectic pencil. (English) Zbl 0782.65057 Linear Algebra Appl. 188-189, 591-611 (1993). Reviewer: A.L.Andrew (Bundoora) MSC: 65F15 65F30 15A22 15A24 PDFBibTeX XMLCite \textit{R. V. Patel}, Linear Algebra Appl. 188--189, 591--611 (1993; Zbl 0782.65057) Full Text: DOI
Bai, Zhaojun; Demmel, James W. On swapping diagonal blocks in real Schur form. (English) Zbl 0783.65030 Linear Algebra Appl. 186, 73-95 (1993). Reviewer: J.D.Dixon (Ottawa) MSC: 65F15 15A21 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{J. W. Demmel}, Linear Algebra Appl. 186, 73--95 (1993; Zbl 0783.65030) Full Text: DOI
Demmel, J. W.; Kågström, B. The generalized Schur decomposition of an arbitrary pencil \(A-\lambda B\): Robust software with error bounds and applications. II: Software and applications. (English) Zbl 0889.65043 ACM Trans. Math. Softw. 19, No. 2, 175-201 (1993). MSC: 65F30 65F15 15A22 15A42 PDFBibTeX XMLCite \textit{J. W. Demmel} and \textit{B. Kågström}, ACM Trans. Math. Softw. 19, No. 2, 175--201 (1993; Zbl 0889.65043) Full Text: DOI Link
Demmel, James; Veselić, Krešimir Jacobi’s method is more accurate than QR. (English) Zbl 0759.65011 SIAM J. Matrix Anal. Appl. 13, No. 4, 1204-1245 (1992). Reviewer: L.P.Lebedev (Rostov-na-Donu) MSC: 65F15 15A22 PDFBibTeX XMLCite \textit{J. Demmel} and \textit{K. Veselić}, SIAM J. Matrix Anal. Appl. 13, No. 4, 1204--1245 (1992; Zbl 0759.65011) Full Text: DOI Link
Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker A chart of numerical methods for structured eigenvalue problems. (English) Zbl 0757.65040 SIAM J. Matrix Anal. Appl. 13, No. 2, 419-453 (1992). Reviewer: H.Matthies (Hamburg) MSC: 65F15 15A21 15A18 15B57 PDFBibTeX XMLCite \textit{A. Bunse-Gerstner} et al., SIAM J. Matrix Anal. Appl. 13, No. 2, 419--453 (1992; Zbl 0757.65040) Full Text: DOI
Anderson, E.; Bai, Z.; Bischof, C. LAPACK users’ guide. (English) Zbl 0755.65028 Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xv, 235 p. (1992). Reviewer: O.Pastravanu (Iaşi) MSC: 65Fxx 65Yxx 65-00 15-04 68-00 68N20 PDFBibTeX XMLCite \textit{E. Anderson} et al., LAPACK users' guide. Philadelphia, PA: SIAM (1992; Zbl 0755.65028)
Deif, Assem S. Advanced matrix theory for scientists and engineers. 2nd ed. (English) Zbl 0731.15001 London etc.: Abacus Press; New York etc.: Gordon and Breach Science Publishers. xii, 302 p. $ 57.00 (1991). Reviewer: J.de Graaf (Eindhoven) MSC: 15-01 00A06 15A06 15A15 15A18 15A42 PDFBibTeX XMLCite \textit{A. S. Deif}, Advanced matrix theory for scientists and engineers. 2nd ed. London etc.: Abacus Press; New York etc.: Gordon and Breach Science Publishers (1991; Zbl 0731.15001)
Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker; Nichols, Nancy K. Numerical computation of an analytic singular value decomposition of a matrix valued function. (English) Zbl 0743.65035 Numer. Math. 60, No. 1, 1-39 (1991). Reviewer: F.Szidarovszky (Tucson) MSC: 65F15 15A60 15A18 PDFBibTeX XMLCite \textit{A. Bunse-Gerstner} et al., Numer. Math. 60, No. 1, 1--39 (1991; Zbl 0743.65035) Full Text: DOI EuDML
Köckler, Norbert Numerische Algorithmen in Softwaresystemen unter besonderer Berücksichtigung der NAG-Bibliothek. (Numerical algorithms in software systems under special regard of the NAG library). (German) Zbl 0708.65001 Stuttgart: B.G. Teubner. xiv, 394 S. DM 58.00 (mit Diskette) (1990). Reviewer: W.Govaerts MSC: 65-04 65-02 65Fxx 65Hxx 65K05 65Dxx 65Lxx 65Nxx 65Mxx 15-04 90-04 35-04 12-04 34-04 PDFBibTeX XMLCite \textit{N. Köckler}, Numerische Algorithmen in Softwaresystemen unter besonderer Berücksichtigung der NAG-Bibliothek. (Numerical algorithms in software systems under special regard of the NAG library). Stuttgart: B.G. Teubner (1990; Zbl 0708.65001)
Shalaby, Mohamed Ahmed Weighted and unweighted least-squares solutions of linear matrix equations. (English) Zbl 0685.65034 Appl. Math. Comput. 34, No. 1, 61-71 (1989). Reviewer: M.Jung MSC: 65F30 65F20 15A24 PDFBibTeX XMLCite \textit{M. A. Shalaby}, Appl. Math. Comput. 34, No. 1, 61--71 (1989; Zbl 0685.65034) Full Text: DOI
Hake, J.-Fr.; Homberg, W. Linear algebra software in IBM and CRAY computers. (English) Zbl 0679.65015 J. Comput. Appl. Math. 26, No. 3, 311-325 (1989). Reviewer: V.Arnăutu (Iaşi) MSC: 65Fxx 65Y05 15-04 PDFBibTeX XMLCite \textit{J. Fr. Hake} and \textit{W. Homberg}, J. Comput. Appl. Math. 26, No. 3, 311--325 (1989; Zbl 0679.65015) Full Text: DOI
Beattie, Christopher; Fox, David W. Localization criteria and containment for Rayleigh quotient iteration. (English) Zbl 0665.65032 SIAM J. Matrix Anal. Appl. 10, No. 1, 80-93 (1989). Reviewer: A.Ruhe MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{C. Beattie} and \textit{D. W. Fox}, SIAM J. Matrix Anal. Appl. 10, No. 1, 80--93 (1989; Zbl 0665.65032) Full Text: DOI
Dongarra, Jack J.; Sorensen, Danny C. A look at the evolution of mathematical software for dense matrix problems over the past fifteen years. (English) Zbl 0703.65014 Numerical algorithms for modern parallel computer architectures, Proc. Workshop IMA Progr., Minneapolis/MN (USA) 1986-87, IMA Vol. Math. Appl. 13, 29-36 (1988). Reviewer: B.Burrows MSC: 65F05 65F15 65Y20 01A65 68Q25 65-03 15-04 PDFBibTeX XML
Hager, William W. Applied numerical linear algebra. (English) Zbl 0665.65021 Englewood Cliffs, NJ: Prentice Hall. VIII, 424 p. $ 64.40 (1988). Reviewer: K.Hainer MSC: 65Fxx 65-01 65Hxx 65Y05 15-04 PDFBibTeX XMLCite \textit{W. W. Hager}, Applied numerical linear algebra. Englewood Cliffs, NJ: Prentice Hall (1988; Zbl 0665.65021)
Fernando, K. Vince; Hammarling, Sven A product induced singular value decomposition (\(\Pi\) SVD) for two matrices and balanced realization. (English) Zbl 0667.65034 Linear algebra in signals, systems, and control, Proc. SIAM Conf., Boston/Mass. 1986, 128-140 (1988). Reviewer: D.Braess MSC: 65F15 15A18 PDFBibTeX XML
Pearlstein, Arne J.; Goussis, Dimitrios A. Efficient transformation of certain singular polynomial matrix eigenvalue problems. (English) Zbl 0665.15009 J. Comput. Phys. 78, No. 2, 305-312 (1988). Reviewer: A.Ruhe MSC: 15A18 15A22 PDFBibTeX XMLCite \textit{A. J. Pearlstein} and \textit{D. A. Goussis}, J. Comput. Phys. 78, No. 2, 305--312 (1988; Zbl 0665.15009) Full Text: DOI
Byers, Ralph A bisection method for measuring the distance of a stable matrix to the unstable matrices. (English) Zbl 0658.65044 SIAM J. Sci. Stat. Comput. 9, No. 5, 875-881 (1988). Reviewer: P.Narain MSC: 65F30 15A60 PDFBibTeX XMLCite \textit{R. Byers}, SIAM J. Sci. Stat. Comput. 9, No. 5, 875--881 (1988; Zbl 0658.65044) Full Text: DOI
Gautschi, Walter; Inglese, Gabriele Lower bounds for the condition number of Vandermonde matrices. (English) Zbl 0646.15003 Numer. Math. 52, No. 3, 241-250 (1988). Reviewer: E.Kreyszig MSC: 15A12 15A42 65F35 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{G. Inglese}, Numer. Math. 52, No. 3, 241--250 (1988; Zbl 0646.15003) Full Text: DOI EuDML
Murthy, Durbha V.; Haftka, Raphael T. Derivatives of eigenvalues and eigenvectors of a general complex matrix. (English) Zbl 0637.65030 Int. J. Numer. Methods Eng. 26, No. 2, 293-311 (1988). Reviewer: N .F.F.Ebecken MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{D. V. Murthy} and \textit{R. T. Haftka}, Int. J. Numer. Methods Eng. 26, No. 2, 293--311 (1988; Zbl 0637.65030) Full Text: DOI
Petkov, P. Khr.; Khristov, N. D.; Konstantinov, M. M. On the numerical properties of the Schur approach for solving the matrix Riccati equation. (English) Zbl 0635.65043 Syst. Control Lett. 9, 197-201 (1987). Reviewer: V.Prepeliţă MSC: 65F30 65K10 15A24 93C15 PDFBibTeX XMLCite \textit{P. Khr. Petkov} et al., Syst. Control Lett. 9, 197--201 (1987; Zbl 0635.65043) Full Text: DOI
Van Loan, Charles F. On estimating the condition of eigenvalues and eigenvectors. (English) Zbl 0631.65030 Linear Algebra Appl. 88-89, 715-732 (1987). Reviewer: T.Reginska MSC: 65F15 65F35 15A42 PDFBibTeX XMLCite \textit{C. F. Van Loan}, Linear Algebra Appl. 88--89, 715--732 (1987; Zbl 0631.65030) Full Text: DOI Link
Bischof, Christian; Van Loan, Charles F. The WY representation for products of Householder matrices. (English) Zbl 0628.65033 SIAM J. Sci. Stat. Comput. 8, S1-S13 (1987). Reviewer: I.Imam MSC: 65F25 65F05 15A23 65Y05 PDFBibTeX XMLCite \textit{C. Bischof} and \textit{C. F. Van Loan}, SIAM J. Sci. Stat. Comput. 8, S1--S13 (1987; Zbl 0628.65033) Full Text: DOI Link
Wobst, R. The generalized eigenvalue problem and acoustic surface wave computations. (English) Zbl 0626.65034 Computing 39, 57-69 (1987). Reviewer: A.Ruhe MSC: 65F15 15A18 74J15 PDFBibTeX XMLCite \textit{R. Wobst}, Computing 39, 57--69 (1987; Zbl 0626.65034) Full Text: DOI
Safonov, M. G.; Jonckheere, E. A.; Verma, M.; Limebeer, D. J. N. Synthesis of positive real multivariable feedback systems. (English) Zbl 0621.93019 Int. J. Control 45, 817-842 (1987). Reviewer: L.Rodman MSC: 93B50 93C35 93D15 15A23 15A24 93B40 PDFBibTeX XMLCite \textit{M. G. Safonov} et al., Int. J. Control 45, 817--842 (1987; Zbl 0621.93019) Full Text: DOI
Niemeyer, Horst; Wermuth, Edgar Lineare Algebra. Analytische und numerische Behandlung. (German) Zbl 0621.15001 Rechnerorientierte Ingenieurmathematik. Braunschweig/Wiesbaden: Friedr. Vieweg & Sohn. XIII, 375 S.; DM 49.80 (1987). Reviewer: V.Mehrmann MSC: 15-01 00A06 65F05 65F10 65F15 15-04 PDFBibTeX XML
Louter-Nool, Margreet Basic linear algebra subprograms (BLAS) on the CDC CYBER 205. (English) Zbl 0614.65039 Parallel Comput. 4, 143-165 (1987). MSC: 65F30 15-04 65Y05 PDFBibTeX XMLCite \textit{M. Louter-Nool}, Parallel Comput. 4, 143--165 (1987; Zbl 0614.65039) Full Text: DOI
Fernando, K. V. Conditions for internal stability of two-dimensional systems. (English) Zbl 0602.93059 Syst. Control Lett. 7, 183-187 (1986). Reviewer: T.Kaczorek MSC: 93D99 15A60 93C35 93C05 93C55 70G10 PDFBibTeX XMLCite \textit{K. V. Fernando}, Syst. Control Lett. 7, 183--187 (1986; Zbl 0602.93059) Full Text: DOI
Oshman, Y.; Bar-Itzhack, I. Y. Square root filtering via covariance and information eigenfactors. (English) Zbl 0599.93060 Automatica 22, 599-604 (1986). MSC: 93E11 62M20 93E25 15A18 60G35 62J10 62L12 65L05 PDFBibTeX XMLCite \textit{Y. Oshman} and \textit{I. Y. Bar-Itzhack}, Automatica 22, 599--604 (1986; Zbl 0599.93060) Full Text: DOI
Williams, T. W. C. Obtaining minimal Gerschgorin discs by scaling the states. (English) Zbl 0635.65048 Int. J. Control 42, 1155-1173 (1985). Reviewer: L.Elsner MSC: 65F35 65F15 15A42 93B40 PDFBibTeX XMLCite \textit{T. W. C. Williams}, Int. J. Control 42, 1155--1173 (1985; Zbl 0635.65048) Full Text: DOI
Library of programs ”LINAL” for the solution of problems of linear algebra. Operating information material. (Biblioteka programm ”LINAL” dlya resheniya zadach linejnoj algebry. Operativno-informatsionnyj material). (Russian) Zbl 0615.65035 Novosibirsk: Vychislitel’nyj Tsentr SO AN SSSR. 115 p. R. 0.50 (1985). Reviewer: I.N.Molčanov MSC: 65F05 65F15 15-04 65-02 PDFBibTeX XML
Brent, Richard P.; Luk, Franklin T.; Van Loan, Charles F. Computation of the singular value decomposition using mesh-connected processors. (English) Zbl 0597.65029 J. VLSI Comput. Syst. 1, 242-270 (1985). Reviewer: A.Ruhe MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{R. P. Brent} et al., J. VLSI Comput. Syst. 1, 242--270 (1985; Zbl 0597.65029)
Van Loan, Charles F. How near is a stable matrix to an unstable matrix? (English) Zbl 0576.15011 Linear algebra and its role in systems theory, Proc. AMS-IMS-SIAM Conf., Brunswick/Maine 1984, Contemp. Math. 47, 465-478 (1985). Reviewer: N.I.Osetinski MSC: 15A42 93D05 15A60 34D20 PDFBibTeX XML
Il’in, V. P.; Kuznetsov, Yu. I. Tridiagonal matrices and their applications. (Trekhdiagonal’nye matritsy i ikh prilozheniya). (Russian) Zbl 0571.65021 Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 208 p. R. 1.30 (1985). Reviewer: Petko Hr. Petkov MSC: 65Fxx 65-01 15-01 15A06 15A09 65N22 15A18 15B57 PDFBibTeX XML
Parlett, B. N. The software scene in the extraction of eigenvalues from sparse matrices. (English) Zbl 0573.65025 SIAM J. Sci. Stat. Comput. 5, 590-604 (1984). Reviewer: F.Móricz MSC: 65F15 15-04 65F50 68N99 PDFBibTeX XMLCite \textit{B. N. Parlett}, SIAM J. Sci. Stat. Comput. 5, 590--604 (1984; Zbl 0573.65025) Full Text: DOI
Van Loan, Charles F. A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix. (English) Zbl 0565.65018 Linear Algebra Appl. 61, 233-251 (1984). Reviewer: B.Burrows MSC: 65F15 15A18 15B57 PDFBibTeX XMLCite \textit{C. F. Van Loan}, Linear Algebra Appl. 61, 233--251 (1984; Zbl 0565.65018) Full Text: DOI
Vandewalle, J.; Staar, J.; de Moor, B.; Lauwers, J. An adaptive singular value decomposition algorithm and its application to adaptive realization. (English) Zbl 0556.65026 Analysis and optimization of systems, Proc. 6th int. Conf., Nice 1984, Part 2, Lect. Notes Control Inf. Sci. 63, 32-47 (1984). Reviewer: L.Elsner MSC: 65F15 15A18 65F30 93B40 PDFBibTeX XML
Kågström, Bo The generalized singular value decomposition and the general (A-\(\lambda\) B)-problem. (English) Zbl 0552.65038 BIT 24, 568-583 (1984). Reviewer: A.Ruhe MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{B. Kågström}, BIT 24, 568--583 (1984; Zbl 0552.65038) Full Text: DOI
Graham, R. L.; Sloane, N. J. A. Anti-Hadamard matrices. (English) Zbl 0552.15010 Linear Algebra Appl. 62, 113-137 (1984). Reviewer: G.Sierksma MSC: 15B36 05B20 15A18 PDFBibTeX XMLCite \textit{R. L. Graham} and \textit{N. J. A. Sloane}, Linear Algebra Appl. 62, 113--137 (1984; Zbl 0552.15010) Full Text: DOI
Juang, J. C.; Lee, T. T. On optimal pole assignment in a specified region. (English) Zbl 0543.93024 Int. J. Control 40, 65-79 (1984). Reviewer: T.Kaczorek MSC: 93B55 15A18 93C05 93C99 15A21 93B10 PDFBibTeX XMLCite \textit{J. C. Juang} and \textit{T. T. Lee}, Int. J. Control 40, 65--79 (1984; Zbl 0543.93024) Full Text: DOI
Cullum, Jane; Willoughby, Ralph A.; Lake, Mark A Lanczos algorithm for computing singular values and vectors of large matrices. (English) Zbl 0518.65020 SIAM J. Sci. Stat. Comput. 4, 197-215 (1983). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{J. Cullum} et al., SIAM J. Sci. Stat. Comput. 4, 197--215 (1983; Zbl 0518.65020) Full Text: DOI
Anderson, Leonard R.; Brewer, Dennis W.; Baykan, A. Rasim Numerical solution of the symmetric Riccati equation through Riccati iteration. (English) Zbl 0517.93022 Optim. Control Appl. Methods 4, 239-251 (1983). MSC: 93B40 15A24 65F15 65H10 93C05 93C15 PDFBibTeX XMLCite \textit{L. R. Anderson} et al., Optim. Control Appl. Methods 4, 239--251 (1983; Zbl 0517.93022) Full Text: DOI
Wang, J. Y.; Garbow, B. S. A numerical method for solving inverse real symmetric eigenvalue problems. (English) Zbl 0517.65019 SIAM J. Sci. Stat. Comput. 4, 45-51 (1983). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{J. Y. Wang} and \textit{B. S. Garbow}, SIAM J. Sci. Stat. Comput. 4, 45--51 (1983; Zbl 0517.65019) Full Text: DOI
Stewart, G. W. Computing the CS decomposition of a partitioned orthonormal matrix. (English) Zbl 0516.65016 Numer. Math. 40, 297-306 (1982). MSC: 65F25 15A23 PDFBibTeX XMLCite \textit{G. W. Stewart}, Numer. Math. 40, 297--306 (1982; Zbl 0516.65016) Full Text: DOI EuDML
Jonckheere, Edmond A.; Silverman, Leonard M. Singular value analysis of deformable systems. (English) Zbl 0512.93007 Circuits Syst. Signal Process. 1, 447-470 (1982). MSC: 93A15 15A18 93B17 15A60 PDFBibTeX XMLCite \textit{E. A. Jonckheere} and \textit{L. M. Silverman}, Circuits Syst. Signal Process. 1, 447--470 (1982; Zbl 0512.93007) Full Text: DOI
Lang, Wilgard [Doehler, B.; Meyer, A.; Skurt, L.; Sommer, J. P.] Ein Programmsystem für Matrizeneigenwertprobleme. Mit Anhängen von B. Doehler, A. Meyer, L. Skurt und J. P. Sommer. (German) Zbl 0507.65009 Numerische Verfahren in Aktion, Bd. 2. Berlin: Akademie-Verlag. 157 S. M 25.00 (1982). MSC: 65F15 65-04 15A18 PDFBibTeX XML Full Text: DOI
Emami-Naeini, A.; van Dooren, P. Computation of zeros of linear multivariable systems. (English) Zbl 0484.93029 Automatica 18, 415-430 (1982). MSC: 93B40 93C05 93C35 93B17 15A21 PDFBibTeX XMLCite \textit{A. Emami-Naeini} and \textit{P. van Dooren}, Automatica 18, 415--430 (1982; Zbl 0484.93029) Full Text: DOI
Van Loan, Charles F. Using the Hessenberg decomposition in control theory. (English) Zbl 0481.93030 Math. Program. Study 18, 102-111 (1982). MSC: 93B40 65F30 15A21 15A23 15B57 93C05 93C99 93C15 PDFBibTeX XMLCite \textit{C. F. Van Loan}, Math. Program. Study 18, 102--111 (1982; Zbl 0481.93030) Full Text: DOI
Miminis, G. S.; Paige, C. C. An algorithm for pole assignment of time invariant linear systems. (English) Zbl 0478.93022 Int. J. Control 35, 341-354 (1982). MSC: 93B40 93C05 93C99 65F30 15A18 PDFBibTeX XMLCite \textit{G. S. Miminis} and \textit{C. C. Paige}, Int. J. Control 35, 341--354 (1982; Zbl 0478.93022) Full Text: DOI
Chan, Tony F. An improved algorithm for computing the singular value decomposition. (English) Zbl 0477.65032 ACM Trans. Math. Softw. 8, 72-83 (1982). MSC: 65F15 15A18 65Y99 65-04 PDFBibTeX XMLCite \textit{T. F. Chan}, ACM Trans. Math. Softw. 8, 72--83 (1982; Zbl 0477.65032) Full Text: DOI
Preuss, H.-P. Successive pole shifting by state controllers of prescribed structure. (English) Zbl 0467.93017 Int. J. Control 33, 1059-1071 (1981). MSC: 93B25 93C05 93C99 93C35 15A09 PDFBibTeX XMLCite \textit{H. P. Preuss}, Int. J. Control 33, 1059--1071 (1981; Zbl 0467.93017) Full Text: DOI
Davis, George J. Numerical solution of a quadratic matrix equation. (English) Zbl 0467.65021 SIAM J. Sci. Stat. Comput. 2, 164-175 (1981). MSC: 65F30 65F15 15A24 65H10 PDFBibTeX XMLCite \textit{G. J. Davis}, SIAM J. Sci. Stat. Comput. 2, 164--175 (1981; Zbl 0467.65021) Full Text: DOI
Konstantinov, M. M.; Petkov, P. Hr.; Christov, N. D. Synthesis of linear systems with desired equivalent form. (English) Zbl 0439.93020 J. Comput. Appl. Math. 6, 27-35 (1980). MSC: 93B40 93C35 93B10 15A21 15A18 93B50 93B55 93D15 93B07 PDFBibTeX XMLCite \textit{M. M. Konstantinov} et al., J. Comput. Appl. Math. 6, 27--35 (1980; Zbl 0439.93020) Full Text: DOI
Golub, Gene; Klema, Virginia; Peters, Stephen C. Rules and software for detecting rank degeneracy. (English) Zbl 0415.62085 J. Econom. 12, 41-48 (1980). MSC: 62P20 62J05 62J02 65C99 15A60 PDFBibTeX XMLCite \textit{G. Golub} et al., J. Econom. 12, 41--48 (1980; Zbl 0415.62085) Full Text: DOI
Kreyszig, Erwin Zur Einschließung von Eigenwerten Hermitescher Matrizen beim Zweischrittverfahren. (German) Zbl 0437.65029 Z. Angew. Math. Mech. 59, 655-656 (1979). MSC: 65F15 15A18 15B57 15A42 PDFBibTeX XMLCite \textit{E. Kreyszig}, Z. Angew. Math. Mech. 59, 655--656 (1979; Zbl 0437.65029) Full Text: DOI
Bavely, Connice A.; Stewart, G. W. An algorithm for computing reducing subspaces by block diagonalization. (English) Zbl 0413.65034 SIAM J. Numer. Anal. 16, 359-367 (1979). MSC: 65F30 15A21 65F15 PDFBibTeX XMLCite \textit{C. A. Bavely} and \textit{G. W. Stewart}, SIAM J. Numer. Anal. 16, 359--367 (1979; Zbl 0413.65034) Full Text: DOI
Moler, Cleve Three research problems in numerical linear algebra. (English) Zbl 0397.65021 Numerical analysis, Atlanta 1978, Proc. Symp. appl. Math. 22, 1-18 (1978). MSC: 65Fxx 65-04 15A23 PDFBibTeX XML
Garbow, B. S.; Boyle, J. M.; Dongarra, J. J.; Moler, C. B. Matrix eigensystem routines. EISPACK guide extension. (English) Zbl 0368.65020 Lecture Notes in Computer Science. 51. Berlin-Heidelberg-New York: Springer-Verlag. VIII, 343 p. DM 31.00; $ 13.70 (1977). MSC: 65F15 15-04 68W99 65A05 15A18 PDFBibTeX XML
Stewart, G. W. Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices. (English) Zbl 0328.65025 Numer. Math. 25, 123-136 (1976). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{G. W. Stewart}, Numer. Math. 25, 123--136 (1976; Zbl 0328.65025) Full Text: DOI EuDML
Smith, B. T.; Boyle, J. M.; Dongarra, J. J.; Garbow, B. S.; Ikebe, Y.; Klema, V. C.; Moler, C. B. Matrix eigensystem routines - EISPACK guide. 2nd ed. (English) Zbl 0325.65016 Lecture Notes in Computer Science. 6. Berlin-Heidelberg-New York: Springer-Verlag. VII, 551 p. DM 28.00; $ 10.80 (1976). MSC: 65F15 65-02 15A18 15-02 PDFBibTeX XML