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For one MPI rank, it looks like you can use -pc_type cholesky -pc_factor_mat_solver_type cupm though it is not documented in https: //petsc. org/release/overview/linear_solve_table/#direct-solvers Of if you also ./configure --download-kokkos
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<meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div><br></div><div> For one MPI rank, it looks like you can use -pc_type cholesky -pc_factor_mat_solver_type cupm though it is not documented in <a href="https://urldefense.us/v3/__https://petsc.org/release/overview/linear_solve_table/*direct-solvers__;Iw!!G_uCfscf7eWS!YpFrRe8Wul8hbJjnWia9KlpTHLeU2HBIpo45YA5ZnmqISNTy0txGndaBOsORw3xw3Q0Uhvq0Bsb5eJhCKlCe9Bk$">https://petsc.org/release/overview/linear_solve_table/#direct-solvers</a></div><div><br></div><div> Of if you also ./configure --download-kokkos --download-kokkos-kernels you can use <span style="font-family: Menlo; font-size: 14px;">-pc_factor_mat_solver_type kokkos </span>if you also this may also work for multiple GPUs but that is not documented in the table either (Junchao) Nor are sparse Kokkos or CUDA stuff documented (if they exist) in the table.</div><div><br></div><div><span style="font-family: Menlo; font-size: 14px;"><br></span></div><div><span style="font-family: Menlo; font-size: 14px;"> Barry</span></div><div><span style="font-family: Menlo; font-size: 14px;"><br></span></div><div><font face="Menlo"><span style="font-size: 14px;"><br></span></font><div><br><blockquote type="cite"><div>On Jul 24, 2024, at 2:44 PM, Sreeram R Venkat <srvenkat@utexas.edu> wrote:</div><br class="Apple-interchange-newline"><div><meta charset="UTF-8"><div dir="ltr" id="pfptBannermd4yide" style="color-scheme: revert !important; writing-mode: revert !important; -webkit-ruby-position: revert !important; color: revert !important; font-family: revert !important; font-feature-settings: revert !important; font-kerning: revert !important; font-optical-sizing: revert !important; font-palette: revert !important; font-size: revert !important; font-size-adjust: revert !important; font-stretch: revert !important; font-style: revert !important; font-synthesis-small-caps: revert !important; font-synthesis-style: revert !important; font-synthesis-weight: revert !important; font-variant-alternates: revert !important; font-variant-caps: revert !important; font-variant-east-asian: revert !important; font-variant-emoji: revert !important; font-variant-ligatures: revert !important; font-variant-numeric: revert !important; font-variant-position: revert !important; font-variation-settings: revert !important; font-weight: revert !important; text-orientation: revert !important; text-rendering: revert !important; zoom: revert !important; -webkit-font-smoothing: revert !important; -webkit-locale: revert !important; -webkit-text-size-adjust: revert !important; -webkit-text-zoom: revert !important; letter-spacing: revert !important; text-autospace: revert !important; text-spacing-trim: revert !important; accent-color: revert !important; align-content: revert !important; align-items: revert !important; align-self: revert !important; alignment-baseline: revert !important; alt: revert !important; animation-composition: revert !important; animation: revert !important; animation-timeline: revert !important; appearance: revert !important; aspect-ratio: revert !important; backface-visibility: revert !important; background-attachment: revert !important; background-blend-mode: revert !important; background-image: revert !important; background-position: revert !important; background-repeat: revert !important; background-size: revert !important; baseline-shift: revert !important; block-step-insert: revert !important; block-step-size: revert !important; border-collapse: revert !important; border-image: revert !important; box-sizing: revert !important; break-after: revert !important; break-before: revert !important; break-inside: revert !important; buffered-rendering: revert !important; caption-side: revert !important; caret-color: revert !important; clear: revert !important; clip: revert !important; clip-path: revert !important; clip-rule: revert !important; color-interpolation: revert !important; color-interpolation-filters: revert !important; column-count: revert !important; column-fill: revert !important; column-gap: revert !important; column-rule-color: revert !important; column-rule-style: revert !important; column-rule-width: revert !important; column-span: revert !important; column-width: revert !important; contain: revert !important; container-name: revert !important; container-type: revert !important; content: revert !important; content-visibility: revert !important; counter-increment: revert !important; counter-reset: revert !important; counter-set: revert !important; cursor: revert !important; cx: revert !important; cy: revert !important; dominant-baseline: revert !important; empty-cells: revert !important; fill: revert !important; fill-opacity: revert !important; fill-rule: revert !important; filter: revert !important; flex: revert !important; flex-flow: revert !important; float: revert !important; flood-color: revert !important; flood-opacity: revert !important; glyph-orientation-horizontal: revert !important; glyph-orientation-vertical: revert !important; grid: revert !important; grid-column-end: revert !important; grid-column-start: revert !important; grid-row-end: revert !important; grid-row-start: revert !important; hanging-punctuation: revert !important; hyphenate-character: revert !important; hyphens: revert !important; image-orientation: revert !important; image-rendering: revert !important; input-security: revert !important; isolation: revert !important; justify-content: revert !important; justify-items: revert !important; justify-self: revert !important; kerning: revert !important; lighting-color: revert !important; line-break: revert !important; line-height: revert !important; list-style: revert !important; margin-trim: revert !important; marker: revert !important; mask: revert !important; mask-size: revert !important; mask-type: revert !important; masonry-auto-flow: revert !important; math-style: revert !important; mix-blend-mode: revert !important; object-fit: revert !important; object-position: revert !important; offset-anchor: revert !important; offset-distance: revert !important; offset-path: revert !important; offset-position: revert !important; offset-rotate: revert !important; order: revert !important; orphans: revert !important; outline: revert !important; outline-offset: revert !important; overflow-anchor: revert !important; overflow-wrap: revert !important; overflow: revert !important; page: revert !important; paint-order: revert !important; perspective: revert !important; perspective-origin: revert !important; pointer-events: revert !important; position: revert !important; print-color-adjust: revert !important; quotes: revert !important; r: revert !important; resize: revert !important; rotate: revert !important; row-gap: revert !important; rx: revert !important; ry: revert !important; scale: revert !important; scroll-behavior: revert !important; scroll-snap-align: revert !important; scroll-snap-stop: revert !important; scroll-snap-type: revert !important; scroll-timeline: revert !important; scrollbar-color: revert !important; scrollbar-gutter: revert !important; scrollbar-width: revert !important; shape-image-threshold: revert !important; shape-margin: revert !important; shape-outside: revert !important; shape-rendering: revert !important; size: revert !important; speak-as: revert !important; stop-color: revert !important; stop-opacity: revert !important; stroke: revert !important; stroke-color: revert !important; stroke-dasharray: revert !important; stroke-dashoffset: revert !important; stroke-linecap: revert !important; stroke-linejoin: revert !important; stroke-miterlimit: revert !important; stroke-opacity: revert !important; stroke-width: revert !important; tab-size: revert !important; table-layout: revert !important; text-align: left !important; text-align-last: revert !important; text-anchor: revert !important; text-box-edge: revert !important; text-box-trim: revert !important; text-decoration-color: revert !important; text-decoration: revert !important; text-decoration-skip-ink: revert !important; text-decoration-style: revert !important; text-decoration-thickness: revert !important; text-emphasis-color: revert !important; text-emphasis-position: revert !important; text-emphasis-style: revert !important; text-group-align: revert !important; text-indent: revert !important; text-justify: revert !important; text-overflow: revert !important; text-shadow: revert !important; text-transform: revert !important; text-underline-offset: revert !important; text-underline-position: revert !important; text-wrap: revert !important; touch-action: revert !important; transform: revert !important; transform-box: revert !important; transform-origin: revert !important; transform-style: revert !important; transition: revert !important; translate: revert !important; vector-effect: revert !important; vertical-align: revert !important; view-timeline: revert !important; view-transition-name: revert !important; white-space: revert !important; widows: revert !important; will-change: revert !important; word-break: revert !important; x: revert !important; y: revert !important; z-index: revert !important; -apple-color-filter: revert !important; -apple-pay-button-style: revert !important; -apple-pay-button-type: revert !important; -internal-text-autosizing-status: revert !important; border-spacing: revert !important; -webkit-box-align: revert !important; -webkit-box-decoration-break: revert !important; -webkit-box-direction: revert !important; -webkit-box-flex: revert !important; -webkit-box-flex-group: revert !important; -webkit-box-lines: revert !important; -webkit-box-ordinal-group: revert !important; -webkit-box-orient: revert !important; -webkit-box-pack: revert !important; -webkit-box-reflect: revert !important; -webkit-column-axis: revert !important; -webkit-column-progression: revert !important; -webkit-cursor-visibility: revert !important; -webkit-font-size-delta: revert !important; -webkit-hyphenate-limit-after: revert !important; -webkit-hyphenate-limit-before: revert !important; -webkit-hyphenate-limit-lines: revert !important; -webkit-initial-letter: revert !important; -webkit-line-align: revert !important; -webkit-line-box-contain: revert !important; -webkit-line-clamp: revert !important; -webkit-line-grid: revert !important; -webkit-line-snap: revert !important; -webkit-marquee-direction: revert !important; -webkit-marquee-increment: revert !important; -webkit-marquee-repetition: revert !important; -webkit-marquee-speed: revert !important; -webkit-marquee-style: revert !important; -webkit-nbsp-mode: revert !important; -webkit-rtl-ordering: revert !important; -webkit-text-decorations-in-effect: revert !important; -webkit-text-fill-color: revert !important; -webkit-text-security: revert !important; -webkit-text-stroke-color: revert !important; -webkit-text-stroke-width: revert !important; -webkit-user-drag: revert !important; -webkit-user-modify: revert !important; -webkit-user-select: revert !important; word-spacing: revert !important; backdrop-filter: revert !important; background-clip: revert !important; background-origin: revert !important; box-shadow: revert !important; mask-composite: revert !important; mask-mode: revert !important; text-combine-upright: revert !important; -webkit-backdrop-filter: revert !important; -webkit-background-clip: revert !important; -webkit-background-origin: revert !important; -webkit-box-shadow: revert !important; -webkit-mask: revert !important; -webkit-mask-composite: revert !important; -webkit-mask-source-type: revert !important; -webkit-text-combine: revert !important; display: block !important; visibility: revert !important; opacity: revert !important; background-color: rgb(208, 216, 220) !important; block-size: revert !important; border-block: revert !important; border-bottom-color: revert !important; border-bottom-style: revert !important; border-bottom-width: revert !important; border-end-end-radius: revert !important; border-end-start-radius: revert !important; border-inline: revert !important; border-left-color: revert !important; border-left-style: revert !important; border-left-width: revert !important; border-right-color: revert !important; border-right-style: revert !important; border-right-width: revert !important; border-start-end-radius: revert !important; border-start-start-radius: revert !important; inset: revert !important; contain-intrinsic-block-size: revert !important; contain-intrinsic-size: revert !important; contain-intrinsic-inline-size: revert !important; height: revert !important; inline-size: revert !important; inset-block: revert !important; inset-inline: revert !important; margin-block: revert !important; margin-inline: revert !important; max-block-size: revert !important; max-height: revert !important; max-inline-size: revert !important; max-width: revert !important; min-block-size: revert !important; min-height: revert !important; min-inline-size: revert !important; overscroll-behavior-block: revert !important; overscroll-behavior-inline: revert !important; overscroll-behavior: revert !important; padding-block: revert !important; padding-inline: revert !important; scroll-margin-block: revert !important; scroll-margin: revert !important; scroll-margin-inline: revert !important; scroll-padding-block: revert !important; scroll-padding: revert !important; scroll-padding-inline: revert !important; width: revert !important; margin: 16px 0px !important; padding: 8px 16px !important; border-radius: 4px !important; min-width: 200px !important; border-top-width: 4px !important; border-top-style: solid !important; border-top-color: rgb(144, 164, 174) !important;"><div id="pfptBannermd4yide" style="color-scheme: unset !important; writing-mode: unset !important; -webkit-ruby-position: unset !important; color: unset !important; font-family: unset !important; font-feature-settings: unset !important; font-kerning: unset !important; font-optical-sizing: unset !important; font-palette: unset !important; font-size: unset !important; font-size-adjust: unset !important; font-stretch: unset !important; font-style: unset !important; 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-webkit-hyphenate-limit-lines: unset !important; -webkit-initial-letter: unset !important; -webkit-line-align: unset !important; -webkit-line-box-contain: unset !important; -webkit-line-clamp: unset !important; -webkit-line-grid: unset !important; -webkit-line-snap: unset !important; -webkit-nbsp-mode: unset !important; -webkit-rtl-ordering: unset !important; -webkit-text-decorations-in-effect: unset !important; -webkit-text-fill-color: unset !important; -webkit-text-security: unset !important; -webkit-text-stroke-color: unset !important; -webkit-text-stroke-width: unset !important; -webkit-user-drag: unset !important; -webkit-user-modify: unset !important; -webkit-user-select: unset !important; word-spacing: unset !important; background-clip: unset !important; background-origin: unset !important; box-shadow: unset !important; mask-composite: unset !important; mask-mode: unset !important; text-combine-upright: unset !important; -webkit-backdrop-filter: unset !important; -webkit-background-clip: unset !important; -webkit-background-origin: unset !important; -webkit-box-shadow: unset !important; mask-size: unset !important; -webkit-mask: unset !important; -webkit-mask-composite: unset !important; -webkit-mask-source-type: unset !important; -webkit-text-combine: unset !important; display: block !important; visibility: visible !important; opacity: unset !important; background-color: rgb(208, 216, 220) !important; block-size: unset !important; border-block: unset !important; border-radius: unset !important; border-end-end-radius: unset !important; border-end-start-radius: unset !important; border-inline: unset !important; border-start-end-radius: unset !important; border-start-start-radius: unset !important; inset: unset !important; contain-intrinsic-block-size: unset !important; contain-intrinsic-size: unset !important; contain-intrinsic-inline-size: unset !important; height: unset !important; inline-size: unset !important; inset-block: unset !important; inset-inline: unset !important; margin-block: unset !important; margin: unset !important; margin-inline: unset !important; max-block-size: unset !important; max-height: unset !important; max-inline-size: unset !important; max-width: unset !important; min-block-size: unset !important; min-height: unset !important; min-inline-size: unset !important; min-width: unset !important; overscroll-behavior-block: unset !important; overscroll-behavior-inline: unset !important; overscroll-behavior: unset !important; padding-block: unset !important; padding: unset !important; padding-inline: unset !important; scroll-margin-block: unset !important; scroll-margin: unset !important; scroll-margin-inline: unset !important; scroll-padding-block: unset !important; scroll-padding: unset !important; scroll-padding-inline: unset !important; width: unset !important;">This Message Is >From an External Sender</div><div id="pfptBannermd4yide" style="color-scheme: unset !important; writing-mode: unset !important; -webkit-ruby-position: unset !important; font-family: Arial, sans-serif !important; 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mask-mode: unset !important; text-combine-upright: unset !important; -webkit-backdrop-filter: unset !important; -webkit-background-clip: unset !important; -webkit-background-origin: unset !important; -webkit-box-shadow: unset !important; mask-size: unset !important; -webkit-mask: unset !important; -webkit-mask-composite: unset !important; -webkit-mask-source-type: unset !important; -webkit-text-combine: unset !important; display: block !important; visibility: visible !important; opacity: unset !important; background-color: rgb(208, 216, 220) !important; block-size: unset !important; border-block: unset !important; border-radius: unset !important; border-end-end-radius: unset !important; border-end-start-radius: unset !important; border-inline: unset !important; border-start-end-radius: unset !important; border-start-start-radius: unset !important; inset: unset !important; contain-intrinsic-block-size: unset !important; contain-intrinsic-size: unset !important; contain-intrinsic-inline-size: unset !important; height: unset !important; inline-size: unset !important; inset-block: unset !important; inset-inline: unset !important; margin-block: unset !important; margin-bottom: unset !important; margin-inline: unset !important; margin-left: unset !important; margin-right: unset !important; max-block-size: unset !important; max-height: unset !important; max-inline-size: unset !important; max-width: unset !important; min-block-size: unset !important; min-height: unset !important; min-inline-size: unset !important; min-width: unset !important; overscroll-behavior-block: unset !important; overscroll-behavior-inline: unset !important; overscroll-behavior: unset !important; padding-block: unset !important; padding: unset !important; padding-inline: unset !important; scroll-margin-block: unset !important; scroll-margin: unset !important; scroll-margin-inline: unset !important; scroll-padding-block: unset !important; scroll-padding: unset !important; scroll-padding-inline: unset !important; width: unset !important; margin-top: 2px !important;">This message came from outside your organization.</div></div><div style="height: 0px; clear: both !important; display: block !important; visibility: hidden !important; line-height: 0 !important; font-size: 0.01px !important;"></div></div><div dir="ltr" style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;"><div dir="ltr" class="gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><div style="color: rgb(34, 34, 34);">I have an SPD dense matrix of size NxN, where N can range from 10^4-10^5. Are there any Cholesky factorization/solve routines for it in PETSc (or in any of the external libraries)? If possible, I want to use GPU acceleration with 1 or more GPUs. The matrix type can be MATSEQDENSE/MATMPIDENSE or MATSEQDENSECUDA/MATMPIDENSECUDA accordingly. If it is possible to do the factorization beforehand and store it to do the triangular solves later, that would be great.</div><div style="color: rgb(34, 34, 34);"><br></div><div style="color: rgb(34, 34, 34);">Thanks,</div><div style="color: rgb(34, 34, 34);">Sreeram</div></div></div></div></div></blockquote></div><br></div></body></html>