Continuous analogues of matrix factorizations
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[1] Lloyd N. Trefethen,et al. An Extension of Chebfun to Two Dimensions , 2013, SIAM J. Sci. Comput..
[2] Orlando A. Carvajal,et al. A Hybrid Symbolic-Numeric Method for Multiple Integration Based on Tensor-Product Series Approximations , 2004 .
[3] Nicholas J. Highham. A survey of condition number estimation for triangular matrices , 1987 .
[4] Gene H. Golub,et al. A Rank-One Reduction Formula and Its Applications to Matrix Factorizations , 1995, SIAM Rev..
[5] Lloyd N. Trefethen,et al. Gaussian elimination as an iterative algorithm , 2013 .
[6] Mario Bebendorf,et al. Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems , 2008 .
[7] L. Trefethen,et al. Numerical linear algebra , 1997 .
[8] Gene H. Golub,et al. Matrix computations , 1983 .
[9] Lloyd N. Trefethen. Computing with functions in two dimensions , 2014 .
[10] W. Heisenberg,et al. Zur Quantenmechanik. II. , 1926 .
[11] L. Trefethen. Householder triangularization of a quasimatrix , 2010 .
[12] J. Reade,et al. Eigenvalues of Analytic Kernels , 1984 .
[13] G. W. Stewart. Afternotes Goes to Graduates School , 1998 .
[14] D. V. Jonesco. Sur une classe d'équations fonctionnelles , 1927 .
[15] Mario Bebendorf,et al. Approximation of boundary element matrices , 2000, Numerische Mathematik.
[16] H. Weyl. Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung) , 1912 .
[17] Israel Gohberg,et al. Theory and Applications of Volterra Operators in Hilbert Space , 2004 .
[18] D. Hilbert. Grundzuge Einer Allgemeinen Theorie Der Linearen Integralgleichungen , 2009 .
[19] I. Duff,et al. Direct Methods for Sparse Matrices , 1987 .
[20] Carl de Boor. An alternative approach to (the teaching of) rank, basis, and dimension , 1991 .
[21] G. Stewart. Afternotes goes to graduate school : lectures on advanced numerical analysis : a series of lectures on advanced numerical analysis presented at the University of Maryland at College Park and recorded after the fact , 1998 .
[22] J. Mercer. Functions of positive and negative type, and their connection with the theory of integral equations , 1909 .
[23] Keith O. Geddes,et al. Hybrid symbolic-numeric integration in multiple dimensions via tensor-product series , 2005, ISSAC '05.
[24] G. W. Stewart,et al. Matrix algorithms , 1998 .
[25] E. Schmidt. Zur Theorie der linearen und nichtlinearen Integralgleichungen , 1907 .
[26] F. Smithies. The Eigen‐Values and Singular Values of Integral Equations† , 1938 .
[27] Lloyd N. Trefethen,et al. An Extension of MATLAB to Continuous Functions and Operators , 2004, SIAM J. Sci. Comput..
[28] Timothy A. Davis,et al. Direct methods for sparse linear systems , 2006, Fundamentals of algorithms.
[29] H. Harbrecht,et al. On the low-rank approximation by the pivoted Cholesky decomposition , 2012 .
[30] C. Eckart,et al. The approximation of one matrix by another of lower rank , 1936 .
[31] Tobin A. Driscoll,et al. The chebop system for automatic solution of differential equations , 2008 .
[32] Nicholas J. Higham,et al. INVERSE PROBLEMS NEWSLETTER , 1991 .
[33] G. W. Stewart,et al. On the Early History of the Singular Value Decomposition , 1993, SIAM Rev..
[34] Frederick W. Chapman,et al. Generalized Orthogonal Series for Natural Tensor Product Interpolation , 2003 .
[35] P. Strevens. Iii , 1985 .