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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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STABLE AND EFFICIENT SPECTRAL DIVIDE AND CONQUER ALGORITHMS FOR THE SYMMETRIC EIGENVALUE DECOMPOSITION AND THE SVD.

• Authors : YUJI NAKATSUKASA¹ ; HIGHAM, NICHOLAS J.¹

• Source: SIAM Journal on Scientific Computing. 2013, Vol. 35 Issue 3, pA1325-A1349. 25p.

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BACKWARD STABILITY OF ITERATIONS FOR COMPUTING THE POLAR DECOMPOSITION.

• Authors : Nakatsukasa, Yuji¹ ; Higham, Nicholas J.¹

• Source: SIAM Journal on Matrix Analysis & Applications. 2012, Vol. 33 Issue 2, p460-479. 20p.

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COMPUTING THE ACTION OF THE MATRIX EXPONENTIAL, WITH AN APPLICATION TO EXPONENTIAL INTEGRATORS.

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

Subjects: *EXPONENTIAL functions; *INTEGRATORS; *ALGORITHMS

• Source: SIAM Journal on Scientific Computing. 2011, Vol. 33 Issue 1/2, p488-511. 24p.

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A NEW SCALING AND SQUARING ALGORITHM FOR THE MATRIX EXPONENTIAL.

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

Subjects: *ALGORITHMS; *MATRICES (Mathematics); *PADE approximant

• Source: SIAM Journal on Matrix Analysis & Applications. 2010, Vol. 31 Issue 3, p970-989. 20p. 2 Charts, 6 Graphs.

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The Scaling and Squaring Method for the Matrix Exponential Revisited.

• Authors : Higham, Nicholas J.¹

Subjects: *EXPONENTIAL functions; *MATRIX norms; *ERROR analysis in mathematics

• Source: SIAM Review. 2009, Vol. 51 Issue 4, p747-764. 18p. 4 Charts, 3 Graphs.

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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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