### Department of Mathematics and Systems Analysis

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Here are the reports authored by Marko Huhtanen. See the reports of all authors.

- A463
**The real linear eigenvalue problem in C^n**[pdf][ps] abstract: [pdf][ps]- Received 2003-11-28 * R-linear operator in C^n, spectrum, characteristic bivariate polynomial, real algebraic plane curve, path following techniques * AMS 14Q05, 15A04, 65F15 * 32 pages
- A454
**Solution methods for R-linear problems in C^n**[pdf][ps][pdf.gz][ps.gz] abstract: [pdf][ps]- Received 2002-10-09 / Revised 2002-10-29 * real linear operator in C^n, characteristic bivariate polynomial, isometry, LU--decomposition, QR--factorization, iterative methods, consimilarity * AMS 15A04, 65F10 * 32 pages
- A453
**Aspects of nonnormality for iterative methods**[pdf][ps] abstract: [pdf][ps]- Received 2002-09-26 * nonnormal matrix, binormal matrix, polynomially normal operator, unitary orbit, involution, iterative methods, Ritz values, measure of nonnormality * AMS 65F10, 65F15 * 25 pages
- A451
**Combining normality with the FFT techniques**[pdf][ps] abstract: [pdf][ps]- Received 2002-09-24 * normal matrix, FFT, Toeplitz matrix, persymmetric matrix, normal embedding, Kronecker product, preconditioning, 5-term recurrence * AMS 15A57, 65F10, 65T50 * 26 pages
- A427
**A Hermitian Lanczos method for normal matrices**[pdf][ps]- Received 2000-01-30 * normal matrix, GMRES, Toeplitz decomposition, Hermitian Lanczos * AMS 65F10
- A422
**A matrix nearness problem related to iterative methods**[pdf][ps]- Received 1999-10-30 * Nearness problem, iterative methods, short term recurrence * AMS 65F10, 15A23
- A418
**Pole assignment problems for error bounds for GMRES**[pdf][ps]- Received 1999-08-30 * GMRES, error bounds, pole assignment problem, nonnormality * AMS 65F10
- A414
**A stratification of the set of normal matrices**[pdf][ps]- Received 1999-05-30 * normal matrix, stratified submanifold, Toeplitz decomposition, Arnoldi iteration, eigenvalue problem * AMS 65F, 15A57
- A412
**Ideal GMRES can be bounded from below by three factors**[pdf][ps]- Received 1999-01-30 * iterative methods, Krylov subspace, ideal GMRES, nonnormality, pole placement, condition number, ill-conditioned eigenvalue, optimal diagonalization * AMS 65F10, 65F15, 15A18, 15A45

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