nhigham.com 12. 1. 2024What Is the Spectral Radius of a Matrix? – nhigham.com 5. 12. 2023What Is a Hessenberg Matrix? – nhigham.com 22. 11. 2023The Power of Bidiagonal Matrices – nhigham.com 24. 10. 2023What Is an Invariant Subspace? – nhigham.com 11. 10. 2023What Is a Submatrix? – nhigham.com 5. 9. 2023What Is a Flop? – nhigham.com 29. 8. 2023Hamilton, the Quaternions, and Creativity – nhigham.com 25. 7. 2023What Is the Pseudoinverse of a Matrix? – nhigham.com 11. 7. 2023What Is the Numerical Range of a Matrix? – nhigham.com 20. 6. 2023Wilkinson’s Rounding Errors Book Reprinted by SIAM – nhigham.com 1. 6. 2023What Is the Schur Complement of a Matrix? – nhigham.com 26. 4. 2023What Is the Minimal Polynomial of a Matrix? – nhigham.com 24. 4. 2023Ten Year Anniversary of the Blog – nhigham.com 13. 3. 2023What Is Iterative Refinement? – nhigham.com 15. 2. 2023Gershgorin Graphics – nhigham.com 24. 1. 2023What Is the Trace of a Matrix? – nhigham.com 3. 1. 2023What Is a Diagonalizable Matrix? – nhigham.com 28. 12. 2022The Ten Most-Viewed Posts of 2022 – nhigham.com 13. 12. 2022What Is a Stochastic a Matrix? – nhigham.com 6. 12. 2022What Is the Inertia of a Matrix? – nhigham.com 22. 11. 2022What Is Gershgorin’s Theorem? – nhigham.com 15. 11. 2022What Is a Nilpotent Matrix? – nhigham.com 8. 11. 2022What Is an Eigenvalue? – nhigham.com 25. 10. 2022What Is a Symmetric Indefinite Matrix? – nhigham.com 18. 10. 2022What Is a Toeplitz Matrix? – nhigham.com 11. 10. 2022Seven Sins of Numerical Linear Algebra – nhigham.com 4. 10. 2022Cleve Moler Wins ICIAM Industry Prize 2023 – nhigham.com 27. 9. 2022What Is a Circulant Matrix? – nhigham.com 20. 9. 2022Photos and Videos from NJH60 Conference – nhigham.com 13. 9. 2022What Is Fast Matrix Multiplication? – nhigham.com 20. 7. 2022Creativity Workshop on Numerical Linear Algebra – nhigham.com 14. 7. 2022How to Space Displayed Mathematical Equations – nhigham.com 29. 6. 2022What Is the Pascal Matrix? – nhigham.com 18. 5. 2022The Big Six Matrix Factorizations – nhigham.com 11. 5. 2022What Is a Schur Decomposition? – nhigham.com 28. 4. 2022What Is a Permutation Matrix? – nhigham.com 19. 4. 2022What’s New in MATLAB R2022a? – nhigham.com 28. 3. 2022What Is the Matrix Inverse? – nhigham.com 8. 3. 2022What Is A\A? – nhigham.com 28. 2. 2022What Is the Jordan Canonical Form? – nhigham.com 31. 1. 2022What Is the Second Difference Matrix? – nhigham.com 25. 1. 2022What Is the Frank Matrix? – nhigham.com 18. 1. 2022What Is the Logarithmic Norm? – nhigham.com 10. 1. 2022What Is a Tridiagonal Matrix? – nhigham.com 31. 12. 2021The Ten Most-Viewed Posts in 2021 – nhigham.com 9. 11. 2021Anymatrix: An Extensible MATLAB Matrix Collection – nhigham.com 4. 11. 2021Top BibTeX Tips – nhigham.com 28. 10. 2021What Is a Blocked Algorithm? – nhigham.com 12. 10. 2021What Is a Matrix Norm? – nhigham.com 7. 10. 2021What’s New in MATLAB R2021b? – nhigham.com 22. 9. 2021What Is a Vector Norm? – nhigham.com 14. 9. 2021Can We Solve Linear Algebra Problems at Extreme Scale and Low Precisions? – nhigham.com 17. 8. 2021Videos from New Directions in Numerical Linear Algebra and High Performance Computing Workshop – nhigham.com 30. 7. 2021SIAM AN21 Minisymposium on Bohemian Matrices and Applications – nhigham.com 20. 7. 2021What Is a Totally Nonnegative Matrix? – nhigham.com 13. 7. 2021What Is the Perron–Frobenius Theorem? – nhigham.com 6. 7. 2021What Is the Kac–Murdock–Szegö Matrix? – nhigham.com 24. 6. 2021Ian Gladwell (1944–2021) – nhigham.com 22. 6. 2021What Is the Determinant of a Matrix? – nhigham.com 15. 6. 2021What Is a Vandermonde Matrix? – nhigham.com 8. 6. 2021Bounds for the Matrix Condition Number – nhigham.com 1. 6. 2021What Is the Wilson Matrix? – nhigham.com 19. 5. 2021What Is a Rank-Revealing Factorization? – nhigham.com 11. 5. 2021My Blog Workflow – nhigham.com 4. 5. 2021Singular Value Inequalities – nhigham.com 28. 4. 2021What Is a Pseudo-Orthogonal Matrix? – nhigham.com 20. 4. 2021What Is an LU Factorization? – nhigham.com 15. 4. 2021What’s New in MATLAB R2021a? – nhigham.com 12. 4. 2021Fifty “What Is” Articles – nhigham.com 8. 4. 2021What is a Diagonally Dominant Matrix? – nhigham.com 30. 3. 2021Bounds for the Norm of the Inverse of a Triangular Matrix – nhigham.com 23. 3. 2021What Is a Companion Matrix? – nhigham.com 16. 3. 2021What Is an M-Matrix? – nhigham.com 9. 3. 2021Eigenvalue Inequalities for Hermitian Matrices – nhigham.com 2. 3. 2021SIAM CSE21 Minisymposium on Reduced Precision Arithmetic and Stochastic Rounding – nhigham.com 23. 2. 2021Matrix Rank Relations – nhigham.com 16. 2. 2021Diagonally Perturbing a Symmetric Matrix to Make It Positive Definite – nhigham.com 9. 2. 2021When Does Thresholding Preserve Positive Definiteness? – nhigham.com 2. 2. 2021What Is a Unitarily Invariant Norm? – nhigham.com 26. 1. 2021What Is the Nearest Positive Semidefinite Matrix? – nhigham.com 19. 1. 2021What Is the Nearest Symmetric Matrix? – nhigham.com 12. 1. 2021What Is the Softmax Function? – nhigham.com 5. 1. 2021What Is the Log-Sum-Exp Function? – nhigham.com 3. 1. 2021The Princeton Companion to Applied Mathematics – nhigham.com 30. 12. 2020Eigenvalue Problems – nhigham.com 29. 12. 2020Top Ten Posts of 2020 – nhigham.com 22. 12. 2020What Is a Modified Cholesky Factorization? – nhigham.com 15. 12. 2020What Is the Matrix Sign Function? 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– nhigham.com 7. 5. 2020What Is IEEE Standard Arithmetic? – nhigham.com 4. 5. 2020What Is Floating-Point Arithmetic? – nhigham.com 28. 4. 2020What Is Rounding? – nhigham.com 22. 4. 2020What Is a Random Orthogonal Matrix? – nhigham.com 14. 4. 2020What Is a Correlation Matrix? – nhigham.com 31. 3. 2020What is a Matrix? – nhigham.com 27. 3. 2020Update of Catalogue of Software for Matrix Functions – nhigham.com 25. 3. 2020What Is Backward Error? – nhigham.com 19. 3. 2020What Is a Condition Number? – nhigham.com 19. 3. 2020“What Is” Series – nhigham.com 3. 12. 2019A Mathematician Looks at the Collins English Dictionary – nhigham.com 19. 11. 2019Better LaTeX Tables with Booktabs – nhigham.com 17. 8. 2019Happy 80th Birthday Cleve! – nhigham.com 5. 6. 2019The Argonne Tapes – nhigham.com 7. 5. 2019Numerical Algorithms for High-Performance Computational Science: Highlights of the Meeting – nhigham.com 31. 1. 2019Advances in Numerical Linear Algebra Conference and James Hardy Wilkinson Centenary – nhigham.com 23. 1. 2019Who Invented the Matrix Condition Number? – nhigham.com 16. 1. 2019Reflections on a SIAM Presidency – nhigham.com 28. 12. 2018Top Ten Posts of 2018 – nhigham.com 3. 12. 2018Half Precision Arithmetic: fp16 Versus bfloat16 – nhigham.com 21. 11. 2018What’s New in MATLAB R2018b? – nhigham.com 15. 10. 2018Bohemian Matrices in Manchester – nhigham.com 29. 8. 2018Conversations with Gil Strang – nhigham.com 21. 8. 2018Tricks and Tips in Numerical Computing – nhigham.com 19. 6. 2018What’s New in MATLAB R2018a? – nhigham.com
12. 1. 2024What Is the Spectral Radius of a Matrix? – nhigham.com 5. 12. 2023What Is a Hessenberg Matrix? – nhigham.com 22. 11. 2023The Power of Bidiagonal Matrices – nhigham.com 24. 10. 2023What Is an Invariant Subspace? – nhigham.com 11. 10. 2023What Is a Submatrix? – nhigham.com 5. 9. 2023What Is a Flop? – nhigham.com 29. 8. 2023Hamilton, the Quaternions, and Creativity – nhigham.com 25. 7. 2023What Is the Pseudoinverse of a Matrix? – nhigham.com 11. 7. 2023What Is the Numerical Range of a Matrix? – nhigham.com 20. 6. 2023Wilkinson’s Rounding Errors Book Reprinted by SIAM – nhigham.com 1. 6. 2023What Is the Schur Complement of a Matrix? – nhigham.com 26. 4. 2023What Is the Minimal Polynomial of a Matrix? – nhigham.com 24. 4. 2023Ten Year Anniversary of the Blog – nhigham.com 13. 3. 2023What Is Iterative Refinement? – nhigham.com 15. 2. 2023Gershgorin Graphics – nhigham.com 24. 1. 2023What Is the Trace of a Matrix? – nhigham.com 3. 1. 2023What Is a Diagonalizable Matrix? – nhigham.com 28. 12. 2022The Ten Most-Viewed Posts of 2022 – nhigham.com 13. 12. 2022What Is a Stochastic a Matrix? 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– nhigham.com 19. 4. 2022What’s New in MATLAB R2022a? – nhigham.com 28. 3. 2022What Is the Matrix Inverse? – nhigham.com 8. 3. 2022What Is A\A? – nhigham.com 28. 2. 2022What Is the Jordan Canonical Form? – nhigham.com 31. 1. 2022What Is the Second Difference Matrix? – nhigham.com 25. 1. 2022What Is the Frank Matrix? – nhigham.com 18. 1. 2022What Is the Logarithmic Norm? – nhigham.com 10. 1. 2022What Is a Tridiagonal Matrix? – nhigham.com 31. 12. 2021The Ten Most-Viewed Posts in 2021 – nhigham.com 9. 11. 2021Anymatrix: An Extensible MATLAB Matrix Collection – nhigham.com 4. 11. 2021Top BibTeX Tips – nhigham.com 28. 10. 2021What Is a Blocked Algorithm? – nhigham.com 12. 10. 2021What Is a Matrix Norm? – nhigham.com 7. 10. 2021What’s New in MATLAB R2021b? – nhigham.com 22. 9. 2021What Is a Vector Norm? – nhigham.com 14. 9. 2021Can We Solve Linear Algebra Problems at Extreme Scale and Low Precisions? – nhigham.com 17. 8. 2021Videos from New Directions in Numerical Linear Algebra and High Performance Computing Workshop – nhigham.com 30. 7. 2021SIAM AN21 Minisymposium on Bohemian Matrices and Applications – nhigham.com 20. 7. 2021What Is a Totally Nonnegative Matrix? – nhigham.com 13. 7. 2021What Is the Perron–Frobenius Theorem? – nhigham.com 6. 7. 2021What Is the Kac–Murdock–Szegö Matrix? – nhigham.com 24. 6. 2021Ian Gladwell (1944–2021) – nhigham.com 22. 6. 2021What Is the Determinant of a Matrix? – nhigham.com 15. 6. 2021What Is a Vandermonde Matrix? – nhigham.com 8. 6. 2021Bounds for the Matrix Condition Number – nhigham.com 1. 6. 2021What Is the Wilson Matrix? – nhigham.com 19. 5. 2021What Is a Rank-Revealing Factorization? – nhigham.com 11. 5. 2021My Blog Workflow – nhigham.com 4. 5. 2021Singular Value Inequalities – nhigham.com 28. 4. 2021What Is a Pseudo-Orthogonal Matrix? – nhigham.com 20. 4. 2021What Is an LU Factorization? – nhigham.com 15. 4. 2021What’s New in MATLAB R2021a? – nhigham.com 12. 4. 2021Fifty “What Is” Articles – nhigham.com 8. 4. 2021What is a Diagonally Dominant Matrix? – nhigham.com 30. 3. 2021Bounds for the Norm of the Inverse of a Triangular Matrix – nhigham.com 23. 3. 2021What Is a Companion Matrix? – nhigham.com 16. 3. 2021What Is an M-Matrix? – nhigham.com 9. 3. 2021Eigenvalue Inequalities for Hermitian Matrices – nhigham.com 2. 3. 2021SIAM CSE21 Minisymposium on Reduced Precision Arithmetic and Stochastic Rounding – nhigham.com 23. 2. 2021Matrix Rank Relations – nhigham.com 16. 2. 2021Diagonally Perturbing a Symmetric Matrix to Make It Positive Definite – nhigham.com 9. 2. 2021When Does Thresholding Preserve Positive Definiteness? – nhigham.com 2. 2. 2021What Is a Unitarily Invariant Norm? – nhigham.com 26. 1. 2021What Is the Nearest Positive Semidefinite Matrix? – nhigham.com 19. 1. 2021What Is the Nearest Symmetric Matrix? – nhigham.com 12. 1. 2021What Is the Softmax Function? – nhigham.com 5. 1. 2021What Is the Log-Sum-Exp Function? – nhigham.com 3. 1. 2021The Princeton Companion to Applied Mathematics – nhigham.com 30. 12. 2020Eigenvalue Problems – nhigham.com 29. 12. 2020Top Ten Posts of 2020 – nhigham.com 22. 12. 2020What Is a Modified Cholesky Factorization? – nhigham.com 15. 12. 2020What Is the Matrix Sign Function? – nhigham.com 1. 12. 2020What Is the Matrix Unwinding Function? – nhigham.com 17. 11. 2020What Is the Matrix Logarithm? – nhigham.com 27. 10. 2020What Is the CS Decomposition? – nhigham.com 20. 10. 2020What’s New in MATLAB R2020a and R2020b? – nhigham.com 29. 9. 2020What Is the Sherman–Morrison–Woodbury Formula? – nhigham.com 22. 9. 2020What Is a Block Matrix? – nhigham.com 1. 9. 2020What is the Sylvester Equation? – nhigham.com 28. 7. 2020What is the Polar Decomposition? – nhigham.com 21. 7. 2020What Is a Symmetric Positive Definite Matrix? – nhigham.com 30. 6. 2020What Is the Hilbert Matrix? – nhigham.com 16. 6. 2020What Is the Adjugate of a Matrix? – nhigham.com 28. 5. 2020What Is the Matrix Exponential? – nhigham.com 21. 5. 2020What Is a Matrix Square Root? – nhigham.com 19. 5. 20201984 Symposium in Honour of James Wilkinson – nhigham.com 15. 5. 2020Singular Values of Rank-1 Perturbations of an Orthogonal Matrix – nhigham.com 13. 5. 2020Which Fountain Pen Ink for Writing Mathematics? – nhigham.com 7. 5. 2020What Is IEEE Standard Arithmetic? – nhigham.com 4. 5. 2020What Is Floating-Point Arithmetic? – nhigham.com 28. 4. 2020What Is Rounding? – nhigham.com 22. 4. 2020What Is a Random Orthogonal Matrix? – nhigham.com 14. 4. 2020What Is a Correlation Matrix? – nhigham.com 31. 3. 2020What is a Matrix? – nhigham.com 27. 3. 2020Update of Catalogue of Software for Matrix Functions – nhigham.com 25. 3. 2020What Is Backward Error? – nhigham.com 19. 3. 2020What Is a Condition Number? – nhigham.com 19. 3. 2020“What Is” Series – nhigham.com 3. 12. 2019A Mathematician Looks at the Collins English Dictionary – nhigham.com 19. 11. 2019Better LaTeX Tables with Booktabs – nhigham.com 17. 8. 2019Happy 80th Birthday Cleve! – nhigham.com 5. 6. 2019The Argonne Tapes – nhigham.com 7. 5. 2019Numerical Algorithms for High-Performance Computational Science: Highlights of the Meeting – nhigham.com 31. 1. 2019Advances in Numerical Linear Algebra Conference and James Hardy Wilkinson Centenary – nhigham.com 23. 1. 2019Who Invented the Matrix Condition Number? – nhigham.com 16. 1. 2019Reflections on a SIAM Presidency – nhigham.com 28. 12. 2018Top Ten Posts of 2018 – nhigham.com 3. 12. 2018Half Precision Arithmetic: fp16 Versus bfloat16 – nhigham.com 21. 11. 2018What’s New in MATLAB R2018b? – nhigham.com 15. 10. 2018Bohemian Matrices in Manchester – nhigham.com 29. 8. 2018Conversations with Gil Strang – nhigham.com 21. 8. 2018Tricks and Tips in Numerical Computing – nhigham.com 19. 6. 2018What’s New in MATLAB R2018a? – nhigham.com