R. Chan, X. Jin, An Introduction to Iterative Toeplitz Solvers, SIAM, Philadelphia, 2007.

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2、...................615.1.15.1.25.1.3Blockoperator5.1.4Blockoperator˜Threeusefulformulae.................75Operator5.2.15.2.2Caseof5.3.1Caseof5.3.2ConvergencerateofConvergencerateof4.1Constructionofpreconditioner...................474.2PropertiesofgeneralizedJac

3、ksonkernel..............494.3Spectralanalysis...........................584.4Examples...............................625.1Operatorsforblockmatrices....................675.2Operationcostforpreconditionedsystem.............765.3Convergencerate.....................

4、.....785.4Examples...............................82A.1....................................86A.2....................................87A.3....................................88A.4....................................90A.5....................................91A.6..

5、..................................92A.7....................................92A.8....................................93A.9....................................94....................................95A.10....................................95A.11..................

6、..................96A.12....................................96A.13....................................97A.14....................................98A.15....................................98A.16....................................99A.17...........................

7、.........99A.18....................................100A.19viii4Ill-conditionedToeplitzsystems5BlockToeplitzsystems47ContentsAM-filesusedinthebook6785......12))....37))....39f()).....38ff())......37n(nf(T(nT(nFT()..........39T(crp(sh(2)KviiContents-circulantpreco

8、nditioner.............31}ω{46831.2.1Basicsymbols.....................1.2.2SpectralpropertiesofHermitianmatrix.......1.2.3Normsandconditionnumber.............1.3.1Conjugategr