نتائج البحث

HIGHER ORDER FRÉCHET DERIVATIVES OF MATRIX FUNCTIONS AND THE LEVEL-2 CONDITION NUMBER.

• Authors : HIGHAM, NICHOLAS J.¹ ; RELTON, SAMUEL D.¹

Subjects: *FRECHET spaces; *DERIVATIVES (Mathematics); *MATRIX functions

• Source: SIAM Journal on Matrix Analysis & Applications. 2014, Vol. 35 Issue 3, p1019-1037. 19p.

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AN IMPROVED SCHUR-PADÒ ALGORITHM FOR FRACTIONAL POWERS OF A MATRIX AND THEIR FRÒCHET DERIVATIVES.

• Authors : HIGHAM, NICHOLAS J.¹ ; LIN, LIJING¹

Subjects: *MATHEMATICAL decomposition; *FRACTIONAL powers; *MATRICES (Mathematics)

• Source: SIAM Journal on Matrix Analysis & Applications. 2013, Vol. 34 Issue 3, p1341-1360. 20p.

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COMPUTING THE FRÉCHET DERIVATIVE OF THE MATRIX LOGARITHM AND ESTIMATING THE CONDITION NUMBER.

• Authors : AL-MOHY, AWAD H.¹ ; HIGHAM, NICHOLAS J.² ; RELTON, SAMUEL D.²

Subjects: *MATRICES (Mathematics); *LOGARITHMS; *ALGORITHM research

• Source: SIAM Journal on Scientific Computing. 2013, Vol. 35 Issue 4, pC394-C410. 17p.

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THE CANONICAL GENERALIZED POLAR DECOMPOSITION.

• Authors : HIGHAM, NICHOLAS J.¹ (AUTHOR) ; MEHL, CHRISTIAN² (AUTHOR) ; TISSEUR, FRANÇOISE¹ (AUTHOR)

• Source: SIAM Journal on Matrix Analysis & Applications. 2010, Vol. 31 Issue 4, p2163-2180. 18p.

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COMPUTING THE FRÉCHET DERIVATIVE OF THE MATRIX EXPONENTIAL. WITH AN APPLICATION TO CONDITION NUMBER ESTIMATION.

• Authors : Al-Mohy, Awad H. ; Higham, Nicholas J.¹

Subjects: *MATHEMATICS; *MATHEMATICAL analysis; *MATRICES (Mathematics)

• Source: SIAM Journal on Matrix Analysis & Applications. 2008, Vol. 30 Issue 4, p1639-1657. 19p. 3 Charts, 4 Graphs.

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FUNCTIONS PRESERVING MATRIX GROUPS AND ITERATIONS FOR THE MATRIX SQUARE ROOT.

• Authors : HIGHAM, NICHOLAS J. (AUTHOR); MACKEY, D. STEVEN (AUTHOR); MACKEY, NILOUFER (AUTHOR)

Subjects: *MATRIX groups; *ITERATIVE methods (Mathematics); *SQUARE root

• Source: SIAM Journal on Matrix Analysis & Applications. 2004, Vol. 26 Issue 3, p849-877. 29p. 3 Charts.

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APPROXIMATING THE LOGARITHM OF A MATRIX TO SPECIFIED ACCURACY.

• Authors : Sheung Hun Cheng¹ ; Higham, Nicholas J.² ; Kenney, Charles S.³

Subjects: *MATRICES (Mathematics); *SQUARE root; *LOGARITHMS

• Source: SIAM Journal on Matrix Analysis & Applications. 2001, Vol. 22 Issue 4, p1112-1125. 14p.

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