Decay properties for functions of matrices over C⁎-algebras

[1]  Thomas Strohmer,et al.  Localization of Matrix Factorizations , 2013, Found. Comput. Math..

[2]  Qiang Ye,et al.  Error Bounds for the Lanczos Methods for Approximating Matrix Exponentials , 2013, SIAM J. Numer. Anal..

[3]  Luca G Molinari,et al.  Identities and exponential bounds for transfer matrices , 2012, 1210.8001.

[4]  Michele Benzi,et al.  Decay Properties of Spectral Projectors with Applications to Electronic Structure , 2012, SIAM Rev..

[5]  Matt Challacombe,et al.  An Optimized Sparse Approximate Matrix Multiply for Matrices with Decay , 2012, SIAM J. Sci. Comput..

[6]  Pierre-Louis Giscard,et al.  Evaluating Matrix Functions by Resummations on Graphs: The Method of Path-Sums , 2011, SIAM J. Matrix Anal. Appl..

[7]  M. Horstemeyer.  Electronic Structure Calculations , 2012 .

[8]  Erlend Aune,et al.  Computation and modeling for high dimensional Gaussian distributions , 2012 .

[9]  Christine Tobler,et al.  Low-rank tensor methods for linear systems and eigenvalue problems , 2012 .

[10]  Ruth F. Curtain.  Riccati Equations on Noncommutative Banach Algebras , 2011, SIAM J. Control. Optim..

[11]  Terry A. Loring,et al.  Factorization of Matrices of Quaternions , 2011, 1107.0500.

[12]  Ruth Curtain,et al.  On Riccati Equations in Banach Algebras , 2010, SIAM J. Control. Optim..

[13]  Michael K. Ng,et al.  Decay in Functions of Multiband Matrices , 2010, SIAM J. Matrix Anal. Appl..

[14]  J. Eisert,et al.  Colloquium: Area laws for the entanglement entropy , 2010 .

[15]  David F. Gleich,et al.  Spectral Methods for Parameterized Matrix Equations , 2009, SIAM J. Matrix Anal. Appl..

[16]  J. Eisert,et al.  Area laws for the entanglement entropy - a review , 2008, 0808.3773.

[17]  Karlheinz Gröchenig,et al.  Wiener’s Lemma: Theme and Variations. An Introduction to Spectral Invariance and Its Applications , 2010 .

[18]  Lothar Reichel,et al.  Error Estimates and Evaluation of Matrix Functions via the Faber Transform , 2009, SIAM J. Numer. Anal..

[19]  Karlheinz Gröchenig,et al.  Noncommutative Approximation: Inverse-Closed Subalgebras and Off-Diagonal Decay of Matrices , 2009, 0904.0386.

[20]  E. E. TYRTYSHNIKOV.  DECAY IN FUNCTIONS OF MULTI-BAND MATRICES , 2009 .

[21]  C. Tretter.  Spectral Theory Of Block Operator Matrices And Applications , 2008 .

[22]  N. Higham.  Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics) , 2008 .

[23]  N. Higham.  Functions Of Matrices , 2008 .

[24]  Nicholas J. Higham,et al.  Functions of matrices - theory and computation , 2008 .

[25]  Michel Crouzeix,et al.  Numerical range and functional calculus in Hilbert space , 2007 .

[26]  M. Benzi,et al.  DECAY BOUNDS AND ( ) ALGORITHMS FOR APPROXIMATING FUNCTIONS OF SPARSE MATRICES , 2007 .

[27]  Ljiljana Cvetkovic,et al.  On matrices with operator entries , 2006, Numerical Algorithms.

[28]  J. Cirac,et al.  Quantum States on Harmonic Lattices , 2005, quant-ph/0509166.

[29]  J. Eisert,et al.  Entanglement-area law for general bosonic harmonic lattice systems (14 pages) , 2005, quant-ph/0505092.

[30]  J. Eisert,et al.  Correlations, spectral gap and entanglement in harmonic quantum systems on generic lattices , 2005, quant-ph/0509167.

[31]  John W. Bunce,et al.  Stabilizability of linear systems defined overC*-algebras , 1985, Mathematical systems theory.

[32]  Nicolas Le Bihan,et al.  Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing , 2004, Signal Process..

[33]  Michael I. Gil.  Operator Functions and Localization of Spectra , 2003 .

[34]  Andrei Osipov.  On some issues related to the moment problem for the band matrices with operator elements , 2002 .

[35]  Douglas Farenick,et al.  Algebras of linear transformations , 2000 .

[36]  Albrecht Böttcher,et al.  $C^*$-Algebras in Numerical Analysis , 2000, Irish Mathematical Society Bulletin.

[37]  G. Golub,et al.  Bounds for the Entries of Matrix Functions with Applications to Preconditioning , 1999 .

[38]  Arieh Iserles.  How Large is the Exponential of a Banded Matrix , 1999 .

[39]  Y. Berezansky.  Commutative Jacobi fields in Fock space , 1998 .

[40]  A. Baskakov,et al.  Estimates for the entries of inverse matrices and the spectral analysis of linear operators , 1997 .

[41]  Fuzhen Zhang.  Quaternions and matrices of quaternions , 1997 .

[42]  I. Blatov.  On algebras and applications of operators with pseudosparse matrices , 1996 .

[43]  R. Doran.  C[*]-algebras : 1943-1993 : a fifty year celebration : AMS special session commemorating the first fifty years of C[*]-algebra theory, January 13-14, 1993, San Antonio, Texas , 1994 .

[44]  W. Arveson.  C*-Algebras and Numerical Linear Algebra , 1992, funct-an/9211002.

[45]  Audra E. Kosh,et al.  Linear Algebra and its Applications , 1992 .

[46]  Stéphane Jaffard.  Propriétés des matrices « bien localisées » près de leur diagonale et quelques applications , 1990 .

[47]  A. Baskakov,et al.  Wiener's theorem and the asymptotic estimates of the elements of inverse matrices , 1990 .

[48]  G. Pedersen,et al.  Diagonalizing matrices over C(X) , 1984 .

[49]  William F. Moss,et al.  Decay rates for inverses of band matrices , 1984 .

[50]  R. Kadison,et al.  Fundamentals of the Theory of Operator Algebras , 1983 .

[51]  S. W. Ellacott,et al.  Computation of Faber series with application to numerical polynomial approximation in the complex plane , 1983 .

[52]  Andrew Chang.  Quaternionic analysis , 1979, Mathematical Proceedings of the Cambridge Philosophical Society.

[53]  C. Deavours.  The Quaternion Calculus , 1973 .

[54]  J. Curtiss.  Faber Polynomials and the Faber Series , 1971 .

[55]  Yu. M. Berezanskii,et al.  Axiomatic field theory in terms of operator Jacobi matrices , 1971 .

[56]  R. A. Silverman,et al.  Theory of Functions of a Complex Variable , 1968 .

[57]  S. Berberian,et al.  On the closure of the numerical range of an operator , 1967 .

[58]  G. Meinardus.  Approximation of Functions: Theory and Numerical Methods , 1967 .

[59]  P. K. Suetin,et al.  FUNDAMENTAL PROPERTIES OF FABER POLYNOMIALS , 1964 .

[60]  A. Ostrowski.  On some metrical properties of operator matrices and matrices partitioned into blocks , 1961 .

[61]  И.М. Гельфанд,et al.  On the imbedding of normed rings into the ring of operators in Hilbert space , 1943 .

[62]  W. Burnside.  Theory of Functions of a Complex Variable , 1893, Nature.