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On the convergence of a non-linear ensemble Kalman smoother

• Authors : Bergou, El Houcine; Gratton, Serge; Mandel, Jan ...

Subjects: Ensemble Kalman filter/smoother; Kalman filter/smoother; Lp convergence

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Statistical estimates for the conditioning of linear least squares problems

• Authors : Baboulin, Marc; Gratton, Serge; Lacroix, Rémi ...

Subjects: statistical condition estimation; component-wise conditioning; componentwise conditioningWarsaw; Poland

• Source: International Conference on Parallel Processing and Applied Mathematics ; https://hal.science/hal-01766923 ; International Conference on Parallel Processing and Applied Mathematics, Sep 2013, Warsaw,

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Using dual techniques to derive componentwise and mixed condition numbers for a linear functional of a linear least squares solution

• Authors : Baboulin, Marc; Gratton, Serge

Subjects: Dual norm; Adjoint operator; Componentwise perturbations

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A CONTRIBUTION TO THE CONDITIONING OF THE TOTAL LEAST-SQUARES PROBLEM.

• Authors : Baboulin, Marc¹ ; Gratton, Serge²

• Source: SIAM Journal on Matrix Analysis & Applications. 2011, Vol. 32 Issue 3, p685-699. 15p. 3 Charts.

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THE EXACT CONDITION NUMBER OF THE TRUNCATED SINGULAR VALUE SOLUTION OF A LINEAR ILL-POSED PROBLEM.

• Authors : BERGOU, EL HOUCINE¹ ; GRATTON, SERGE¹ ; TSHIMANGA, JEAN¹

Subjects: *PROBLEM solving; LEAST squares; NUMBER theory

• Source: SIAM Journal on Matrix Analysis & Applications. 2014, Vol. 35 Issue 3, p1073-1085. 13p.

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SENSITIVITY AND CONDITIONING OF THE TRUNCATED TOTAL LEAST SQUARES SOLUTION.

• Authors : GRATTON, SERGE¹ ; TITLEY-PELOQUIN, DAVID² ; ILUNGA, JEAN TSHIMANGA²

Subjects: LEAST squares; SENSITIVITY theory (Mathematics); NUMERICAL analysis

• Source: SIAM Journal on Matrix Analysis & Applications. 2013, Vol. 34 Issue 3, p1257-1276. 20p.

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ON THE ACCURACY OF THE KARLSON-WALDÉN ESTIMATE OF THE BACKWARD ERROR FOR LINEAR LEAST SQUARES PROBLEMS.

• Authors : GRATTON, SERGE¹ ; JIRÁNEK, PAVEL² ; TITLEY-PELOQUIN, DAVID³

Subjects: *ESTIMATION theory; *ERROR analysis in mathematics; *APPROXIMATION theory

• Source: SIAM Journal on Matrix Analysis & Applications. 2012, Vol. 33 Issue 3, p822-836. 15p.

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Preconditioning and globalizing conjugate gradients in dual space for quadratically penalized nonlinear-least squares problems.

• Authors : Gratton, Serge¹ ; Gürol, Selime² ; Toint, Philippe³

Subjects: *MATHEMATICAL analysis; *ALGORITHMS; DUALITY theory (Mathematics)

• Source: Computational Optimization & Applications. Jan2013, Vol. 54 Issue 1, p1-25. 25p.

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Simple backward error bounds for linear least-squares problems.

• Authors : Gratton, Serge^1,2 ; Jiránek, Pavel¹ ; Titley-Peloquin, David^1,2

Subjects: *ERROR analysis in mathematics; *MATHEMATICAL bounds; *LINEAR systems

• Source: Linear Algebra & its Applications. Jul2013, Vol. 439 Issue 1, p78-89. 12p.

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A PARTIAL CONDITION NUMBER FOR LINEAR LEAST SQUARES PROBLEMS.

• Authors : Arioli, Mario; Baboulin, Marc; Gratton, Serge

Subjects: LEAST squares; MATRICES (Mathematics); ESTIMATION theory

• Source: SIAM Journal on Matrix Analysis & Applications; 2007, Vol. 29 Issue 2, p413-433, 21p, 5 Charts

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